uuid
stringlengths 36
36
| subject
stringclasses 6
values | has_image
bool 2
classes | image
stringclasses 160
values | problem_statement
stringlengths 32
784
| golden_answer
stringlengths 7
1.13k
|
---|---|---|---|---|---|
6e202713-1c80-40df-9e36-7634560c9076 | integral_calc | true | 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 | The shaded region $R$ is bounded by the graph of $y = \cos(x)$ and the line $y = \frac{ 1 }{ 2 }$, as shown in the figure above.
There exists a number $k$, $k > 1$, such that when $R$ is revolved about the horizontal line $y = k$, the resulting solid has the volume $C$. Write, but do not solve, an equation involving an integral expression that can be used to find the value of $k$. | An equation that can be used to find the value of $k$ is $C=\int_{-\frac{\pi}{3}}^{\frac{\pi}{3}}\pi\cdot\left(\left(k-\frac{1}{2}\right)^2-\left(k-\cos(x)\right)^2\right)dx$ |
6e2f7c2f-40c0-498b-8398-22df34f72ca0 | algebra | false | null | What are the intercepts and asymptotes of the function $P(t) = \frac{ 20 }{ 1+4 \cdot e^{-0.5 \cdot t} }$? If there are no asymptotes or intercepts, then write $\text{None}$. | x-intercept: None
y-intercept: $P(0,4)$
asymptotes: $y=20$, $y=0$ |
6e469c97-4911-48e7-af18-f91442686260 | multivariable_calculus | false | null | Evaluate the double integral:
$$
\int \int \rho^2 \, d \varphi \, d \rho
$$
where the integration area $Q$ is bounded by the curve $\rho = a \cdot \sin(2 \cdot \varphi)$. | $\int \int \rho^2 \, d \varphi \, d \rho$ = $\frac{8}{9}\cdot a^3$ |
6e565a1e-93c4-4477-9a63-92e2c6f2dcf8 | integral_calc | true | data:image/png;base64,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 | On a cylinder with a diameter of 6 cm, a channel is cut out along the surface, having an equilateral triangle with a side of 0.25 cm in cross section. Compute the volume of the cut out material. | $V$ = $\frac{24\cdot\sqrt{3}-1}{256}\cdot\pi$ |
6eab7d06-a894-4b93-8479-b153c4ea7408 | precalculus_review | true | 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 | Estimate the average rate of change from $x=1$ to $x=4$ for the following function $f(x)$ whose graph is given below:
Note that the average rate of change of a function from $x=a$ to $x=b$ is $\frac{ f(b)-f(a) }{ b-a }$. | The final answer: $-0.5$ |
6eb2112a-d921-461f-bbd8-4e02c7e628ba | sequences_series | false | null | Let $f(x) = \ln\left(2 \cdot x^2 + 1\right)$.
1. Find the 4th order Taylor polynomial $P_{4}(x)$ of $f(x)$ about $a=0$.
2. Compute $\left|f(1) - P_{4}(1)\right|$.
3. Compute $\left|f(0.1) - P_{4}(0.1)\right|$. | 1. $2\cdot x^2-2\cdot x^4$
2. $1.09861229$
3. $2.62729\cdot10^{-6}$ |
6eb723e9-f3be-45fb-93d2-513d7ac5c99b | differential_calc | false | null | Sketch the curve:
$$
y = \frac{ x^3 }{ 6 \cdot (x+3)^2 }
$$
Provide the following:
1. The domain (in interval notation)
2. Vertical asymptotes
3. Horizontal asymptotes
4. Slant asymptotes
5. Intervals where the function is increasing
6. Intervals where the function is decreasing
7. Intervals where the function is concave up
8. Intervals where the function is concave down
9. Points of inflection | 1. The domain (in interval notation): $(-1\cdot\infty,-3)\cup(-3,\infty)$
2. Vertical asymptotes: $x=-3$
3. Horizontal asymptotes: None
4. Slant asymptotes: $y=\frac{x}{6}-1$
5. Intervals where the function is increasing: $(-\infty,-9)$, $(-3,0)$, $(0,\infty)$
6. Intervals where the function is decreasing: $(-9,-3)$
7. Intervals where the function is concave up: $(-\infty,-9)$, $(-3,0)$, $(0,\infty)$
8. Intervals where the function is concave down: $(-3,0)$, $(-\infty,-3)$
9. Points of inflection: $P(0,0)$ |
6efac4ac-e374-438a-95a1-859cfaa849f7 | differential_calc | false | null | Given the function $y = \frac{ 1 }{ 4 - x^2 }$, find the following:
1. The domain (in interval notation)
2. Vertical asymptotes
3. Horizontal asymptotes
4. Slant asymptotes
5. Intervals where the function is increasing
6. Intervals where the function is decreasing
7. Intervals where the function is concave up
8. Intervals where the function is concave down
9. Points of inflection | 1. Domain (in interval notation) $(-1\cdot\infty,-2)\cup(-2,2)\cup(2,\infty)$
2. Vertical asymptotes $x=2$, $x=-2$
3. Horizontal asymptotes $y=0$
4. Slant asymptotes None
5. Intervals where the function is increasing $(0,2)$, $(2,\infty)$
6. Intervals where the function is decreasing $(-\infty,-2)$, $(-2,0)$
7. Intervals where the function is concave up $(-2,2)$
8. Intervals where the function is concave down $(-\infty,-2)$, $(2,\infty)$
9. Points of inflection None |
6f098df0-77ae-4edd-bf05-80600c45367d | sequences_series | false | null | Find the Fourier series expansion of the function $f(x) = \frac{ x }{ 2 }$ with the period $4$ on the interval $[-2,2]$. | The Fourier series is: $f(x)=\sum_{n=1}^\infty\left(\frac{(-1)^{n+1}\cdot2}{\pi\cdot n}\cdot\sin\left(\frac{\pi\cdot n\cdot x}{2}\right)\right)$ |
6f3269e2-8a1e-4e41-932c-de8a74a48740 | multivariable_calculus | true | 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s3hMFgXLlyZc+ePe7u7rt27SKRSBLuAI1G69279+XLlx0dHSXcNB9E9RpZWFgAAITftW1paenXr19RUVHHxVpbW1NSUjw9PXv16mVmZoYgiIKCwsyZM/fu3Xvnzh1VVdVJkybx3PLly5e2S66amprPnz/HxsaGhYW5uLioq6vjcP+3FtLR0VmyZMndu3fr6+vZbLaQz9UdePfunaGh4cSJE9PS0qTYjS1btnBPTaWIyKT/ypUrAABDQ0Phv6SXL1/uILFubm6uv78/TJjXv3//CRMmREREvH37llvPs2LFCkNDw8rKSu4b379/v2TJko6bZjKZ2dnZV69eXbNmjba2NnwNiESihYVFTEzMv/cdqKiocHV1VVVVvXnzptSndhUVFWQyOT8/X7rdwEQo/Ww2e8KECTgcLjExUfiqIiIi2p588eKFvb09HJvJZLK3t3drayvfGnbs2AEA4NlA+PTpU5c0nmw2++7du0uWLFFUVDQ2NpaXl+/bt+/Bgwd5XqpuDoVCCQ4OlpeXP3r0aFVVlbS7g2EYhqLoqFGjDhw4IO2OiE76MQx78+YNHo8nkUgCL1v5gqJoUlKSpaUlAEBGRkZBQWH06NEZGRl8C5eUlNTX14eHh+NwOJ6dRYH1/SwWKzU1denSpXCWrKiouHHjxvr6egGqkjB///137969V61a9eLFC2n35X+4f//+2LFjpd0LkUo/9l+Xl/Xr14uqwtzc3GnTpiEIoqurGxAQUF1dXVRUxHcG0tTUFBoaumXLFiaTSaPR1NTUVFVVuU0+hd/tyszMXLRoEVQfqaurBwcHt7S0CFOh+Pj27ducOXOGDRvWDS0rMQxrbm5WV1f//PmzdLshYun/+PEjiUSSlZVtbGwUsioajbZt2zY5OTkSibRy5coO9iCZTOajR4/mzJnD/Wv6+PggCPL27VvOGVFZOuTn5y9evFhOTg4AoKKicv78eanPpLlhMBiBgYEqKirTp0/vhu5UHLy8vLy9vaXbBxFLP4Zha9euBQBs2rRJmEp+/PgxcuRIBEEGDRr08+fPDkp++/bNxcXl1q1bPB8EmOs3KCiIc+bNmzcitLLKysqaM2cOgiA4HM7Gxqa9mZgkQVH04sWLBgYG48ePF7mNmsh5//69tra2qAaOysrKDx8+oCiKomhhYWEnn1300v/t2zfoRZWeni7A7QwG4/Tp0yQSSUdH5+3bt2vXrk1ISOBbsqGhYefOnTCtXdurMNDiokWLOGdevXolWkUbiqKxsbFDhw4FAJBIpLCwMCmOtWlpaRMmTJgwYcLnz5+71beoPWg0mp6envC6VzqdHhAQQCKRFBQUtLW1x44dSyAQrKysOmN5IHrpxzDs6NGjAIBRo0Z1VRry8/NHjx4NABg5cmRdXR2GYZ8+fWrrsMJms//+++958+b9888/bSthsVgJCQlHjx7V0dHR0tLiDAMvXrwYOXKkQA/UEVQqdfXq1dBncu7cucKbe3SV6urqNWvWjBgxIjw8XPgJpyTx9/cPDw8XspKsrKzx48cbGBhMnDhxyZIlsrKyNjY2q1at6sx2slikv7GxEaY07ZLRTkpKipqaGolEOnjwILfyPiwsrKysjHNYVVW1dOnSs2fP8n284uLi8+fPP3/+HMOwbdu2IQjy6dMneOn79+/C+9C0R0JCAszpZGZmxmlR3DAYjIiIiN69e2/btk149yvJ8+zZs9GjR7c9z2Awjh8/vmjRop07d3bGdriurs7AwKCwsHDlypX29vad74BYpB/77+aXhoZGaWnpLwszmcyQkBAEQdTU1B48eMBzta6ubs+ePRiGsVis3bt3r1u3jq+mhUKh+Pv7BwUFcUZfGC2C8wZ++fJFrN4tLS0trq6uCIIoKytHR0eLe/rx+vVrU1PTGTNmCO8U+kvodPq+ffsuXrwo2mpZLNawYcParuuWL18OADA3Nzc0NNTU1Hz//n3H9Zw7d87W1rampkZeXr5Lv4a4pB/DsF27dgEA7OzsOp7/oCi6Y8cOHA6noqLSngosMTHx9OnTWVlZ7W1VpqWlzZ8/Pz4+nvskhULp1auXubk5PGxqaho2bJiAD9Nprl69Cu2oly5dKqa94erq6oMHD5LJ5IiICLFuP6Mo+uXLF29vb2NjYxwOl5eXJ/Imjh49unv3bu4z7969k5eXh4s9BoOxb9++QYMGdTCUNDY2jhkz5t69e+fPnx86dGh7G6B8EaP0NzU1mZubAwDOnTvXXhkmk7l69WoY/BG+vnyLZWZmTp8+ne9WZW1trY+PT2BgIN+JkJWVFYFAKCgogIcSkH4Mw969ewcDB3l6eor8C/Dw4UNNTU0PDw+xqnS+fft24MABOJNOS0tDUXT69OmxsbEibyg3N9fU1JRziKLo1KlT/f39OWe+fv2qpqYG/7n5+fmPHj1KSkriRBBMTU3V1tZetGgRiqJ79uzx8/PrUutilH4Mw969e6ekpGRsbMx3rsJisTw8PPB4vK2t7cuXL/kKSkZGxo0bN/heYjKZFy9eXLhwId8xCUXRJ0+e9OvXDwDw9OlTeNLKykoy+pDc3FzYtKenp5Au/xzq6uqmTZvWr18/8dmosVisR48eOTo6Ghoanj59mnsNfezYMS8vL5G3yGazhwwZwrH5aWpqkpeXHzFiRFBQUEhISERExNKlS3V1deH0ITAw0MXFZdiwYTNmzID/xxcvXsTExMC/7927FxUV1aXWxSv9GIZFRETgcLgpU6bwjM1MJnPVqlUAgH379vGVyJaWlsDAwK1bt3LWc+Hh4Zzlb1FR0axZs65fv87305+Tk3Py5MmMjAy4/Ni5cyeGYQwGY/DgwRLTBpaUlMB1cFcHpLYwmcxTp06NHDny/PnzUBUmWlAULSsr279/f79+/czMzJKSktrOH2pra1VVVcXxwVmzZs3t27fh32lpacrKysuWLbOwsDA3N4cjyLp16/jeCNOXODs7T58+feTIkWZmZqampoMGDeq8AkDs0g+t3xAEOX78OOckiqJr1qwBALi4uPBdFXz79i0yMvLr16/cJ8vKygIDA+l0enh4+KpVq/jqFltaWo4fP75+/Xr4f6quriYSiZxAJpKZ+XAoLS0dOHAggiDnz58XrAYURRMTE0ePHu3g4NDetFAYGhoaYmJibGxsNDQ0ZsyY8erVqw4WadOnTw8MDBR5H5KTkznbMmfPnuXWTNTX18vLy8MR/d27d0FBQefOnTt48CD8VqAo+vXr18bGxsbGxsrKyurq6tTU1C7tMold+jEMKykp0dDQUFZW5vTs2LFjCIIsW7as7cjd2tq6devWnTt38h2kFyxYMGbMGL6xT9hsdmxs7KJFi549e8Y5yWQyDQ0NLSws4KHEZj4ciouLjY2NZWVlBfPY/Pjxo5mZ2a1bt0TbbTabXVRUtGbNGnV19aFDh4aHh3dmvNy5c6eqqqrIPz7Nzc1jxoyBDxgZGTlp0iTOwwYHB5PJZDgB+/Tp04b/8vHjR+4aUBQtLy9/9+5dVz9NkpB+DMM+fPhAIpFMTU1pNNrFixcJBMLq1at5hhkURVksVllZGV/ND51O37Nnz4EDB6ysrNr+q4qKihYtWhQSEtL2dfL09MThcLW1tRiGaWtrS3479tOnTyoqKnJycgLM11ksVpeUGL+ktrb2ypUrEyZM0NDQ2LRpU2f00RweP34MABA+6U5b7Ozs4Jz21atXZDJ5zZo1MTExGzduJBAIp06d6vheFEUDAwNHjx6tr68/adKkLtneSkj6MQw7deoUgiADBw6UlZW1trbmkcLi4mInJye+IUHhzu7Tp0/hp//8+fPcbtF0Ov3MmTOrVq3iKHZ4gMpjaOI7dOhQqVgBPHv2DCZZklYYezab/eHDBx8fHxKJNHbs2Js3bwowg4fJxgkEwv3790XbvcDAQM6C9T//+c/IkSOJRKKGhkZoaOgv/183b97U1dWl0+nNzc1z587tkt2o5KQfRdH58+cDANTU1LgNNtls9pEjR5YuXcrXmq2oqMjLy4v7rairq5s3bx4c45OTk62trdszXv/58+eJEyemT58O/hvdX8Lzfm6CgoLg7kcHcXbv3bvn91+SkpJE0m5jY+OVK1dGjhxJJpN37tz57ds3gatKSkoikUhaWlq/dJHrKgkJCYsXL+Y+U1tb28mscJaWljY2NqdPnxbAllty0s9isWbPng0dBTlrfAzDdu7cmZiY2PYVZzAYBw4cCAsLa2vbDCeC69evP3jwIN+JQVVV1eHDh8+dO8disXJychAEgfuUUpR+JpMJH3/Xrl18C9TW1srKylpYWCxcuHD48OFA6BgZT5482bBhQ79+/Q4cOJCVlSW8S1p5eXlQUNCAAQNEPnusra01NDQUYOcuNTUVAKCrqztmzBglJaUPHz506XbJSf+ZM2cQBNm6dauWlpaSklJ0dHQHK633799v2bKlvYkyzAPO938A8+pMnTqVM8eg0+lkMtnW1hbDsIEDB0rR/rGkpKRPnz4EAiEuLq7t1efPn8vLy3OmrZaWlmFhYQK0QqfTL1++PHLkSDs7u9DQUJEvUt3c3DqZJLNLDBw4EMbj6BJPnjwxNTWtrq5ms9kGBgZd/cUkJP2FhYXKysqOjo4oimZnZw8aNAgAcPLkybYlW1pakpOTN23axPfdqKyspNFoGRkZTU1NbWefubm58+fPj4uL4x5FUBS1sLAwMjLCMMzAwEC6nulv376F6UzgGgaac+3YsQPDsMePH8NOYhiWnJwsKyv75cuXLlWekZGxbt26QYMGrVmzhtsuULSEh4fv3btX5NWuWrVKgCxYt2/ftrOzwzAMGvkkJyd36XZJSD+bzZ4xY4aqqipngzorK0tTU1NZWfnJkyfcxRITE2fNmsWjz4LQ6fRDhw55eXlxds3mz5/PmRpSqdQnT57s3LmT72RxwYIFZDKZwWCMGTNG6nEZNm/eDADYv39/dXX1/Pnzw8PD4WbwwYMH5eXl3dzcVq9eraamtn///k5W2Nzc/ODBAzs7u/HjxwcGBorbqaWkpMTCwkLkn9CLFy+6u7t39a6fP39qamr+9ddfo0ePNjEx6Y4az5iYGARBNm7cyH0yMzNTV1eXTCZzjPIKCgri4uL4/qzJyckeHh481vzl5eVPnz5FUfTz588zZ87MzMzk2/rz58/19fUBAJ8+fTI2Npa69EOXVjwev2TJEu5Fy4wZM6ZNm7Zhwwaoov1luD+YCX3lypVmZmahoaGS9LI3NzcXlfkGh58/fwrme3T9+vW+ffs6Ojq+fv26q/eKXfrr6up69eqloqICNe7cwC+AiopKBwlXysvLt2zZcubMGb6z/B07dri5uV24cIHvVbhKe/nyZWhoKAAgPDzczMxMutLPZDLv3LljZ2cHABg4cCBHhigUiqamZkVFBTw8ePCgnJxce5u7LS0t169fHz16tJeX14cPHyTvT+Pp6SmM7ojFYrW1+6JSqVpaWqLd3PglYpf+48eP4/H4u3fv8r36/ft3U1NTeXn5tjbcbDb7yZMnW7du5avJYjKZV65cWb169YQJE9pad9JotPDw8JCQEKgdgob+O3bsGD9+vCieSRBYLNbjx48dHBzu3LnDYrGgVuf06dPwalFREfebyWaziURi2y3t7OxsHx+fcePGnTlzRopuXFeuXOF2mIagKPpLd6pnz57NnTu3d+/eampqxsbGs2bNmjhxIsejw9ramsdGXdyIV/pra2vV1dUHDRrUwYiblpYmKyurqKgYExPDOdnS0rJnz56rV6/ynQh9+fLFw8MDmoAfOHCAx/L2w4cPCxcu5NaX//jxAwCwatUqaWk8CwoK7O3tg4ODOfOTtLQ0PB7fu3dvqJOJj4/39PSEl6hU6qlTp4YMGcK5ncVipaenb9iwwcnJ6dmzZxIeINuSlpZmZWXFfaagoGDy5MkGBgbLli17+fJlezcaGxsjCDJ58uSvX78OHjx40qRJhw4d4uw3r1q16vLly+Lt+v8iXukPCwtDEKStuxYPCQkJioqKMjIy8BPBYDA2bdrEdxrX0tLi7e0dEhLC2QRobW3l2MdWVlauW7fuxIkTPIMQi8UiEokTJkzo2E9CHLS0tAQEBFhbW7fdil6yZAkAIDQ0FMOwly9fqqmp2dnZjRgxQklJSU9PD46CNBotNTV12rRpO3bs+PLlSzdxV6dSqWZmZhwFQ1lZmZGRkZeX18mTJ8eNGycrK9uB7rJfv34RERF1dXWamprfv3/nvnTq1CkfHx/xdv1/EaP0QyVUv379OrM5UlJSoqioSCQSXVxcGhoa+P6bb926tWvXLh7DTwiKotHR0fPmzeObtIuTLqFv376SnPcnJiaOHDkyMjKS75QgPT0dj8cPGzYMdgn679+6devBgwd0Op3FYl27ds3Hxyc5ObkbxibhZCBFUXTatGkcByYURcePH8+Z0fHQ0tKip6fX2NgYExNjZmbGc/Xjx49QfSkxxCj9Bw4c6JJj+6tXrwYNGiQnJxcQEMAjo1lZWZ6enu35lebn5zs6Oi5atKituhNF0fv377u5uSkrKwMABgwYIJnhs6qqytHRcfny5XyjrXBwcXHhnv1DcnNz9+3b9+LFixcvXtTV1aWlpWVnZ2dmZpaWll6/fv3ChQsXLlx4+/ZtbGzshw8f8vPzf/782dzcLOHPQkBAANRVZGdnE4lE7tiVY8eOXbNmDd+7bt++DbcdFy9e3DYBcGlpqb6+viTNEMUo/QYGBkpKSl2K9fflyxcYDGLBggWcF+DatWve3t58NXoUCiUgIGD16tVPnz5t+9HMycnx8PC4evUqdCKDIabFPfY3Nzdv2bLF0tKyM6Ez4+Li4FzZ29s7JiYmJCRkxowZMEwvgUAgkUjwb+j5yQmtzg2CIAiCyMjIKCoq6uvrz5s3z9vbOzQ0NCoqKjs7W3yvxMOHD1evXo1h2LZt26D1iqKiIgz3iyBITExMeXn5qVOnTp06xVm8vXr1qnfv3nA9NmnSpLZ6jubmZmVlZUmu5gmdifEvAPHx8UVFRevXr5eXl+/8XYMGDUpMTJwyZcqtW7egR7OsrGz//v0XLVrUtvDbt2+joqLc3d3Hjh0LAKioqOBcYjAY58+fT05ODg4ONjIyAgD06tULAABfRWGfrR0wDEtMTNy6dauXl1dwcDCBwP+3xTCsqKiooqLixYsXFy5cOHv27LRp0y5dujRv3jxYAEEQGCZRS0sLhgnS0dEhk8l5eXkjR46kUCjy8vIUCqWuro5AIJSXl7PZ7IqKChqNVlxcXFxczGkIvhVEItHW1tba2nrcuHF6enra2tp836KuMnz48P379wMA4uLidu7cOWPGjLKyMiqV+vHjx/Dw8LFjx8LtRTweD9foCILU19f7+PiMGTOmtbUVhgRmMBjc+UEUFBR0dHRqamqUlJSE72GnENNbBaO98ixrOklpaSkMkCYrK8vXbik/P9/Ly+vKlSs8Y5ufnx+bzc7Ozl63bl10dDT3pZMnTwIAlJSUxJQzJz8/f+bMma6urpz9bB5aW1vfvHkTFBRkZ2fHLX+bN2+mUqmbNm2aMWPGuXPnkpOTCwsLW1paWlpaOvmZQlGUQqFUV1fn5+d///790KFDrq6uEyZMgBmcuP/XBAJh4MCBBw4cePTokZD2PyiKzpkzh81mW1hYcG/YHzlyZPLkySiKNjc319TUcPYi6uvrhwwZoqWlZWRkNHjw4KFDh/bv37+ts9GiRYuuXLkiTMe6hFikn0ajaWlpCRM2kEKhzJw5k0gkKigo8PwcjY2Nq1ev5uvAdvr06T179ly8eLHtAuDMmTMAAHl5eZFLP41Gi4iIsLe3h7EPeK5SKJSEhIQdO3bo6ekBAFRVVTmyaG1tHR0dvWrVql69ehkaGop89xRF0bq6up8/fx47dmzatGn9+/fnTl5GJpPnzp0bHR0t8GuwYsUKCoXi6+u7cuVK+OAfP35UUVF5+PAhhmHTpk3T0dExMjLimCqiKEqj0RobG2GQbRqN1vZ/ERkZeejQISEeumuIRfphwlDhsxjFx8fr6+vj8Xg/P7+OhYPNZr98+dLNzW306NF8J7unTp0SufSz2ez4+PiFCxf+888/PI1SKJT4+Phly5ZpampCaYNzd11d3QEDBly5ciUxMZFjhers7IwgSFetc7sKiqIFBQVPnjzx8vKCmW8gKioqW7ZsyczM7OqKaOvWre/evUtPTycSiePGjfP09CSTyUuXLoU/BZPJZDAY3HWyWCw/P7/evXsPGDCgPYO2u3fvurq6CvOYXUIs0g812YJNe3goKCiwsbEBANjY2LS3jiwpKXFzc4uIiGAymW/evOEWRBRF4XIZ+iWJUPoLCgpmz57NE0KQTqcnJibOnDkTqpjgZMPe3j4oKMjY2HjMmDF8NzFguGlxeAy2R0tLy7Nnz/z8/EaNGgX7KS8vP2nSpISEhM7/PlFRUdAuKzo62t/ff8eOHR2n7bl48aKqqmpubu6tW7cGDBjAt8ybN28kmVFc9NLPYrE0NTVNTExEpXBgMBhLly4FAJibm/Oo8xkMxtmzZ9etW8d3tt3U1LRjxw74Ia6trRWV9NfW1u7cuXP69OncnUlNTfX399fR0eEMqMOGDTt9+vTDhw+jo6PPnz+/cOHC9kJSFhcXE4lEExMTITsmAEwm8+bNm3PmzOGs0UeMGJGSktKZexMTE9vaO3TAunXroCaUr7IfUlhYKMmcLqKX/idPngAAAgICRFgniqKHDx9WUlJSUFDgrLEaGxvbc9Wj0+lFRUXOzs4cE/n6+noZGRlNTU1h1MlsNjsqKmr48OFXr16FZ2pra/fu3QsnEjAYo4uLy40bNyorKw8fPuzn58exYI2KiuJ2UissLGxoaOAcjho1SuQZn7pEYWGhq6srfAcQBFm4cCHH5K49Pn361DYHZgcEBAQYGRndv39/8eLFwcHBfMvAjJ0Sy+YreukPDg4GAIgjYU5OTo6enh5cBpw5c6a9b0tdXV2/fv3aziy1tbWFGfu/fPkye/bsy5cvs9lsuMyYPHkyVKrIysrOnDlz+/btdXV1r1+/DggICA0N3bt3L7dKm+frdPfu3dTUVM5heHg4AIDzUkmLzMxMBwcHuERRVFS8evVqB4uByspKa2vrzldeU1OzYcMGmP+vPe8wOp2uq6vb1hxYTIhe+q2trQkEgpgssb5//w6Voebm5m1HShaLFRER4efnl5GRcfToUZ6rtra2gkl/fX19YGCgl5cXjUarrq6+evXq+PHj8Xi8mpqahYVFUFBQYWFhfX19QECAo6Pj8ePH4QL95s2b3CbKR48e5dauXLx4EYZZh6SlpQEAJGzl0h7x8fFwkwQAsHjx4vaUQjU1NRoaGp2ss6GhAUp8SEhIx5G0bWxsOt4gFyEiln4mk6mrq9ulIaGrtLa2Qv8PIyMj7mVWdnb2li1bOPMintcvPz9fR0eHRCJ1Nc59YmKip6fnx48fi4qKLl68qKioCADo1avX8+fPd+/eDRXbN2/e3LZt2/r167krP3/+PHe0nBMnTnC7Kd+5c4cTXRTDMDqdrqSkJEUDbB4oFMrs2bPhR8DU1JSvbRWLxTI0NOzkbO3YsWM2NjbBwcEKCgodR8OVZNAXEUt/Xl4egiDQUVWsREZGkkgkGRkZf3//1tZWJpP54MEDvp/pnz9/pqSkwMQteDy+8/EAKyoqoCrjw4cPy5cvh3NibW3tffv2NTQ0UCiUKVOmrFmz5tatW3Cw53mvDh8+zL0pcerUKe7P/aVLl06cOME5ZLFYKioqKioqHYTxSE9Pl9igiGEYm80OCwuDUzttbW2+66tJkyb9cnkAaW1tXb9+/fjx40UeC0gYRCz9165dAwBANYu4efHihbGxMQBATU2Nb86ChISE06dPR0dHwx3H9evXAwA6E72MwWAcPXp0yZIlYWFhs2fPlpGRweFwpqamrq6ujY2NJSUlqampR44ccXd35157BAYGcr8A+/bt43ZLP3HiBLfO5+7du9y7eFD6EQRpLxhTdna2vLw8zOIhSV6+fKmgoAAAMDY2bjvML1myRIBADN0HEZh8cJOTk4PH42FmaXFjbW398ePHlStXNjY22tjYnDt3DkVRztXv37/fvXu3vLx83rx5ZDIZAGBiYgIAqKur67jalJSUmTNn9u3bt66uzt/f/++//zY0NLx06dL79+9hJKLCwsLRo0f7+voaGhrCuQFERkaGyWRyDs3MzKDcQPB4PMxqwQGaHnFAEATDsOzs7LZdqq2tnTdvHpVKbW1t7cwvI0ImTpz4/v17NTW1vLy8KVOm0Ol07qv9+/eHnkMipK6u7uvXr6Ktsz1ELP1VVVUEAkFLS0u01baHkpJSRETE2bNnZWRkVq5c6ezszPn3oCh6/PjxvXv3cgqzWCwAwNu3b9urrbm5+ciRIz4+PqmpqXPnzn38+LGOjs6pU6fu37/f0NBw6NChHz9+LFu2zMrKCgp9c3Mz9+0/fvzgfhkYDEZDQwPnkM1mc78b8vLycAkBwePx0GisoKCgbce2b9/OZDJhJDzJM2DAgOfPn2toaGRkZMAobpxLvXv3zs/PF21zoaGh9+7dE22d7SFiG89v376JtsJfgiCIp6enjY2Nm5vbvXv3zM3NJ02aFB4ePnDgQL7lObuwPNy+fdvX11dGRqa0tJTFYo0ZM2bx4sUkEolCoVy/fn3jxo1ycnItLS3Q6BIAgKIoTIrKgUajsdlszmFzczO39PMAZxHcZ2DExbbSn5aWdv369bi4OGg/IhWGDh36+PHjqVOnxsTEvH37dsyYMZxL9fX1om1LW1tbYp84UY79KIoWFRVZWFiIsM5OYmRk9OrVK19f3+Li4nPnzm3YsIEzMGMYlpGRUVxc/OjRIwAAlUrluffBgwejR49esGBBWVkZjUabNm3a48ePDx06BI3R165dC/ezqFQq99COIIiSkhK3BJubm3PPbXgmCb169eIe7FtaWngKKCsry8rK8kzM6HS6i4vLiRMnJk6cCOdv0mLUqFF79uxBUXTr1q3cTw2/qKKlqqpK5HXyRZTSz2QyKRRK3759RVhn5yEQCEeOHElMTOzbt+/Zs2enT5+elZUFAMAwbMGCBadPn4aOVNwyR6FQNmzYMHv27Hfv3kFv63Hjxt2/f7+wsFBTU9PBwcHd3Z1jAkAgEDgDPwAAQRAURbnfh4qKCu65DYvF4p4VfP36lfvLQKfTuS0uAQBkMllBQYFnIrFv376SkhJ1dfWnT59mZGRwW6dJniVLlqipqf3zzz9wdwIAQCQSm5qaRNuKsrIy9/pNrIhS+jEM69WrFzRKkxZjxozJzMzcunVrenr68OHDN27c+Pnz5wsXLri5uQ0ePBj818aYzWZHREQMGDAAhocfP358cnLy5s2biUQigiCrV6/u169fVVUV598Mb+Ge6GMYxmAwuJvW0tKCXikQMpkMk/ZBiEQi92cHGgBz3y4rK6usrFxdXc058+bNm7CwsH79+u3atWvt2rXPnz+vqakR+hcSHDU1NWjAAs3FAQAaGho8XzDhaWxs5B4mxIroZz6GhoYirFMAZGVlg4KC3r17Z2pqeuLEiXXr1snLy+fk5KSkpAAAaDRaVlYW9D0tLS0FAAwePNjV1XXo0KHTp0+/cuUKZziHToOcajU0NPbs2cM5RBCExWJxj1JeXl5th3PO3wMGDOCe+Ziamg4bNoyn53379oUWqfAwIyPjxIkTWVlZX758ycnJ2b17N0wEJkXmzp2Lx+Nfv34NH1xGRgYTta+cgoIC/L9IAhFqTysrKzsIXCV56HR6UFCQoqIiHo8fN24cfF5ZWVk4mVFUVLS0tITuYJxbuPX31dXVMNxIe3QcYP7+/fvcNgK1tbUdG9g1NDRAwyG+eQxg37pDRJOBAwdysgklJydD714REhMT00mLj/r6+hcvXqSlpTU3Nwvmrv0/Op8fP35A2VVVVaXRaHg8XkNDo7Ky0tzcnMViNTc3NzY2oija1NSkrKysoKBAIBBMTExguGAzM7NPnz6x2eyamprq6moGg0GlUnNzcwcPHvzp0ycFBQVo4Qi9OXv16qWkpEQkErOysqhUqry8vIyMTP/+/RkMBo1GKykpGTlyZGtra3p6emlpKZFIJBAIMBwijxYFj8fj8Xh1dXVFRcWKigoYH1NVVZVMJiMIgsPhfH19FyxYMHnyZFgeh8PBL/WIESMuX77cq1evHz9+wAkJm81ubGy8cOHChg0bZGVlEQSBz1JRUUEgEKhUKgytY2trCwCgUqlycnLh4eHLli2DjssIgrx586Z///4c7y0ymRwfHz9hwgR4mJeXRyaTtbW1AQDQMZfBYGhra7PZbNiWubl5YGDgvn37/P39z5w5o6ysTKfTW1paYN8IBIKcnFx6erqsrCxMRoZhGJPJlJGRKS4u1tXV5V6TcFBWVqbRaCQSCUEQ+FvB2Rp0HUZRlM1m83yvfomlpWVeXh5c7Pbq1YtCoXAuoSiKw+HgcohGowEAiEQik8nE4/HwEoZhKIrC/WM8Hs9iseBIhGEY/BHweDybzYZPzV0nXCbxLJZyc3Pt7e1bW1vJZHKfPn3GjRunr68/YcIECwsLBoOhpqb2Sw9mBOP6cl24cOHgwYPm5uaDBg1qbm6GX2F1dXU5Obn6+vqioqL2atHV1bWwsHj9+nVUVNSECRMMDAzgrmdRUZGBgUFjY2NdXR2bze7Tp09jYyMcfel0Og6HKykpgf8YFoulqKjY3NwMHxKPx+vr68vLyxcUFOjr6/fu3Rs6rbe2tqIoSiAQmpqa8Hh8Y2Mj1I5pa2ujKCorK6utrV1dXa2kpMRmsxUUFExMTBITE1NTUzn/raqqKgRBbGxsjIyMvn37lpeXN3jwYFVV1R8/fjAYDBhUQ0ZGBrrFVFRUGBkZwRePRqOlpKRAB/OWlhYSiZSbmwvj46qpqTU0NNTW1urr63OkAUYZ4ShYYYeNjY0rKiqgIpVKpaqrq7PZbAqFoqSklJ+fX1paqqqq6uHhERcXJysr29TURKfToYySyWQikchisdTU1Hhm/1APC2di3OdxOJySkhL8MREEgYMI/L8gCKKsrMxmsxkMBveWHF/69OmDoqiBgQEAAEGQFy9elJSUaGtrw93GxsbG/v37Q+McKOgsFguHw8HfQU5OjkqlEolEzouBoqi8vDyGYQQCAb69HBFnMplEIrGhoaG1tZWzKIKvBBwiqVQqVL7JysoyGIwBAwZ8+/at7YaDgoICg8Hw9fUNCQnp+NH+R/qFpLS0VE9P7/79+zNnzhRVnfBfJfDtFRUVS5cuhXE8OSAIsn79ehhPpra2Fv5fAQCtra2nTp3asmULPKTRaHfu3IF+apDU1FQYPwIye/bsv//+m3MYEhKydu1aTjyCoqIiJpMJbTEAAFlZWX369OGIWkNDA5vNVlNTg8MhgiD29vZ9+/bV1dV9+vRpYmJidXU1nU6XkZGBo7WmpiadTldWViYSidyLQgzDSkpKZGRk8Hg895AJAIABHTAM415t19TUwO8nHGXa+91aW1vl5ORqa2tbW1uVlJQ4D4XH4xcvXlxZWXns2DFHR0cAgJycHBybaTQa92YFgUCQl5en0+nv3r0DABgaGnIGAgqFoqCgwGQyU1JSODqSiooKeXl5TkNlZWUqKirwu0qlUlNSUkaMGIEgSEFBAZ1OhxsOTCZz+/btX7584fSNSCT269fPxMSkqakpJCRk5MiR7T3g///5REVVVRWRSOx84HmxgqLoxYsX5eTkEAQxMzObP38+3IgwNjaGEqmjo7N27Vqe7N6/9B7mPnR2duY+3Lt3L3fQobKyMm4708jISO6rHz584Il3iaKooaGhjIyM+BJPiAR7e3symSxFRxwO8fHx2tray5cvf/jwYUpKSkFBQVfXRaLU+cjLy8vKynLH1ZEWlZWVs2bN8vT0bG1tXbVqVVZW1oABA6KjoxEEcXV1/fbt2759+1gsVnh4eEBAAIwBAW/kCQHCw5EjR7gPYZgGDiQSiXtZkpSUlJSUxDkkEonl5eWcQzqdzrPvhiCIuro6DoeT7q5WxzAYjOTkZGVlZRUVFQBAS0tLcHDw+vXrQ0NDoXeyJLGzsysqKjp//ryjo6OVlVWfPn26Ok0QpfSTyeRZs2a9evVKhHV2FQzDYmNjx48f//Dhw4EDB8Jg+SEhITBfEA6HKy0tJRAIO3fuLCsr279/f2Nj4/Lly4cOHXr79m0Gg1FYWNhB5ZcuXeJWccKFGudQS0sL7q9BjIyMfv78yTmUl5d/+PAh5xAuFXjqHzRoEJPJ/KUdnhSBBrMTJ06Eq9XNmzdTKBQ3N7dr164tWLCAr5GS+GhrONhVRGzlhiAIXytFyVBcXLx27VonJ6efP3+GhoZmZmY6OzvD0Lb19fWPHj3ill0CgbBjx46CggIvL6/i4uIFCxZoa2u7urp2sM0Og+5z4DFc45FmuGDlHNbW1kKFDyQnJ4c77hokJSUFOh937bElBYvF2rFjBwAA2tvdv3+/sbExODjYyspq9OjRc+fO7dOnj7T6hqLo7t27S0pKAADPnz/n2YhsDxFLPwCAyWTCTkiY1NRUa2vriIgINTW1R48e+fv7QyVgfn7+3Llzw8LCoGU/z12qqqpnz57Nzc1du3YtnU5PTU01NTUNCQmBxls860g6nc79baXT6dy2uHAywA23FlJfX59EInEONTQ0uA8BACwWi0ajQW26QD+A2AkNDS0sLHR0dJw1axYA4MSJE3D7Ly8v7+rVqydOnBBGPyEkGIZdunQpNjb22rVrdnZ2nKVwx4hY+qESgzONlgxsNvvo0aMTJkzIz893cHDw9/cvLi7mjLswqRMAYNKkSQiCcIfXxDCspqaGxWLp6emdPn06Kytr/fr1GIZt375dX19/0aJFrq6u3A2dP3+ex6C/d+/e3N3gMe3m/i4jCML9oZCRkeExkG5sbKyuruartu8OREdH//XXX3g83sfHB4fDUanUyspKY2NjBoPh4+Pj4eHB/VNIHjwe7+DgcOPGDV9f38mTJ8OkoL9ExNLfq1cvDMMqKytFW20HlJaWzp8/38/Pj0wmHz169MGDB1u2bBk+fPi+ffuSkpLa2ktx9G5ZWVnW1tZ6enomJiZwQm9oaHjy5Mm8vLyNGzcSCIQbN27ExsY6ODgkJibCXQVuUwUAAJPJVFNT4xwiCMKjiecZxbmlX1dXl6djDx48YDAYHHfybsXDhw9hLvXdu3fD/T4CgdDc3BwREeHg4PDo0aPx48dLu4+guLj45cuXrq6ucLekM7eIWPqh+jYjI0O01fIFRdG7d+9aWFj8+PFjxIgRSUlJcFgCAIwcOXLHjh3Pnj1zdHSEcawAAHAuCOcbxcXFTk5OmzZtys3NPXfu3MGDB6Ojo2ExdXX1Y8eO5eXlBQQEQBfsKVOmDB069OjRowcOHOCeO/FsJfIsgjmadQ7c97Y1ZYmMjAQAcBvGdRMePXo0b948Op3u7Oy8c+dOeFJGRubcuXMJCQn29vZubm5SXOxB4uLiYmNjyWTy3r1724uezQeRamCx0tJSMpksctuPtjCZTPifQBBk9OjRa9asqaqq4inj6up669YtaDsAY/cBAEJDQ1EUtbW15Y48fP36db4JF+rr66GjDMwqQCAQVq1axckgdPToUW7TnaioKO6ka9euXePOQvX48WPuDE7p6enHjx/nbgtuzXQ+2YcEQFE0JCQECpOjo2PHdk1SJCkpSUFBITQ0VFZWtjNpEziIWPpRFB0yZIi+vr5oq+WhqKhoxowZAAAymbxt2zYWi/X69evRo0dzxwhJS0tbuHAhm81GUfTRo0f37t3bsGEDAODmzZs5OTk8mR6vXLni5eXVQYtpaWkw1iwAAI/Hz5w5MyYmJjAwkFv6nz59yh2t7cqVK/fu3eMcxsbGch9mZGTs27ePc8hms3V0dAgEAl/3fKnQ2Njo4eEBH7k7iz6GYUZGRmPGjKHT6RoaGl0KAyr6aFYeHh4wc4HIa4bExMRAJw8bGxvubVEqlXrixAlnZ+eCggI2m7148WKeyDDLli0DAERHRz958oRb8jAMW7JkSXupprhpaGjw8fHhLO8QBPH29uYb6wbDsMePH3OnWnr48CF3EIcfP35w56NmsVja2toqKiqSjFnSAY8ePYJ7eQQCYevWrd3BtrQD7t27l5GRgWHYkSNHrl+/3vkbRS/9Dx48AACII/Eqk8k8cuQInG3DjaG2ZWpra9etW7d06VKe1PAYhh06dAgAUFJSsn37dp44h3379uWOK9gxdDo9PDzcysqKSCRCA5tJkyZdu3bt4sWL3G9jdnY2dwaNhw8fvnr1inNYX1/P/dpkZ2cjCLJo0aJO9kF8NDQ0+Pv7Q23VgAED3r59K+0eiRHRSz/UkYvc2qelpWXVqlUAAHV19bt3737+/DkgIKDtXB+W1NfX37Bhw4MHD7iTQAUFBQEASktL161bd/v2bc759+/fm5qaCjC8VVVVubq6cvtzjRgxIjY2FpoDlZSUcIevamho6CCFGfSWapvITZLQ6fRDhw5x7PCmTZvWyUhV/17EEsFcS0tr4MCBIswP9+PHD2jWN2DAAE74JDabvW/fPicnJ548LikpKX///TebzT579uzkyZM5V1evXo3D4SorK8+ePbt+/Xpo0FZWVqajo9OZaU970On0M2fOWFhYwPESQRBDQ8O1a9deu3at8wkp1q5di8fjs7KyBO6GMNTW1kZFRXFi+Q8ZMuTBgwfdfLYjEsSSvQJGTeMOWykwLBYrMjISGr5u3ry57fBZWlrq4uLi7u7O9zvQ2Ni4devWS5cuYRg2f/58PB4PPW9sbGy0tbWnTp2qpKTk4+Mj/IuKomhhYeGePXtgLHIoRlpaWtu3b09ISGhtbaXRaO35dtFoNCMjo7ZJrMQNg8EoKCjYvXs3Z5daS0srJCREkjlDpYtYpB9O/Xft2iVkPSwWa9++fTgcTl5efuXKlcnJyampqW0llc1mZ2RkzJ49+/z589zBAzkwmcyrV6/CKQq0d6BSqXfv3o2MjGybN1N4MjMzg4ODzc3NSSSSubk5giAqKirTp0/fsGED3ziKX758weFwfn5+Iu9JW1AUbW1t/fTp05UrV8zMzAgEgoyMjJKSkq6u7unTp7sa4vffjlikn8Fg6OnptZdCq5M0NzcvXrxYWVnZzs4OrqHZbHZQUJC9vT1fC3gURY8dO6aoqMi9uOQA3aNE9UXqDCiK1tTU3LhxY/z48VBlLi8vr6urO3bsWJg1MSMjA77JQUFBJBKpPXdekUClUhMTE48dO2Zpacm9P00ikVxdXe/fvy/ynHn/CsSVsdTJyYlIJObn5wt2e1VVFfSi6t+/P0/04IKCgjVr1hw+fLht/uqlS5fGxcUdP37c19e37YoNrue4le4S4+fPnzExMb6+vjD7BkfyRo4cuXPnTi0tLW1t7YaGBuGnHCiK0un0srKyvLy8uLi40NDQqVOnDh48mFvicTicpqbm8uXLz549K8lw4d0QUXo2cpOammplZbV9+3aYyqVLVFRU2NraZmdny8jIpKWlwTg8PLx79y4gIGDWrFkrV66E8vTmzZsrV67AJCg5OTnbtm0bMmTIX3/9BcfdyspKXV1dFEXv3Lnj7Ows9PMJCIqixcXFcXFxCQkJP3784I6FKCMjo6WlZWJiAkOZ29nZwY+V+n/JyMiQlZXlWE/AtOYAgKKioqqqqtzc3Kqqqurq6h8/fsCBnKdpFRUVLy8ve3t7PT096OogoWfuzojvxRoxYoSWllZXk7iUl5dDAz1ra2uYwebDhw98k9IxGIwjR47MmjWrvLwcRVGYLpy7APQwhrOmT58+weflzpgidWpqaoYMGUIgEKZMmWJsbNwFA5UOge6ttra2np6e165dS01Nraqq4vHh7AHjiWgiWnx8fJYsWXLjxg1PT89O3vLhwwcPD4+srCwLC4vbt2/D77WJicm6devMzc3Xrl0L3ZwhRCLR19fX3d09KioqJSXF3NycJzrazJkzp02bdu7cuQ8fPnC08h1ElpU8lZWVX758cXZ2hm6BDQ0N1dXVKSkpnz59qqury8vLYzAY0NumpaWFTCbLyspqaGg0NTXRaDQVFRWY8UVTU9PIyEhTU1NNTU1fX9/ExERHR6dtpIaSkpJv374NGDBACs/ZbRHfi1VZWSknJzd48OBOrn1zc3OhuLu5ufFYlaAoGhMTM3PmzGfPnrW9EUXRTZs2zZ4928PDg2+Sqfr6emiXCwC4c+eOYI8jDpYvXw4A6DidCYwCAuPGwV+S+4/Ot/X58+fRo0cL2eHfDDFKP4ZhAQEBCIJcu3btlyWzsrJg+NtBgwbxJOXl0NLSsn///s2bN3/69Ilvgfj4eAcHh8jIyLZWRpwghN1H+vPy8vB4/MCBAyWjX0dR1MXFRWA9xG+JeKW/uLhYXl5eR0en49l/WloajL7m5eXFYrHq6upWrFjx+vVrvqZy1dXVa9asCQ0NhQaVPOMfk8kMCAiYP38+j7EkHGW7lfRD71i4EycZzp07J8mM8N0f8Uo/hmHbtm0DACxcuLC9AgkJCTCSR3h4OEeUmUzmsWPH7O3t37x50/b7jqJoYmLi7NmzL168OG/evLY50L9//w4T6MKMXRiGdbeZT2pqKowuKkJ7kF/S2trau3dvvvnn/kzELv3QU1tXV5cjiNwkJydDuwC+Oe8pFMrmzZtXr17NN7kxg8FYuHChlpbWy5cv28oQi8X6559/5s6d+/z5cxRFhw4dSiAQVFVVJbbb1QFMJnPo0KEIgvBYKEmA4OBgvn48fyZil37svwaMbeMhZ2ZmamhoyMjIhIWFPX78uL2dly9fvri6ugYFBfG8PxQKZeTIkfn5+du3b1++fHllZWXbe+l0+uXLl2G4ATs7OxcXF76mEBLm3LlzAICpU6dK3pKMTqcPHjxYkh+c7owkpJ/JZE6cOFFGRobbhvHNmzdKSkoIgsAsnCiKbtiwYd26dXyHeTab/fTpUxcXF26L+dOnT1+4cAH+XVBQsHz58tDQUL5G/zCI2rlz5+bNm9eeM4rEqKyshI4jkh/4IYGBgV1yAfmNkYT0Yxj2/v17Mpk8btw4ONp9/vyZRCIRCAQeN4CUlJSlS5eePn2arx8diqKRkZHe3t7fv3//8ePH5MmTeWT9wYMHTk5O9+7d4xlT37x5AwDYtWvX+PHjxWHW1nnYbPbcuXMBAL6+vtLqw9evX8eMGSOt1rsVEpJ+DMPOnj0LAIiMjMzOzoZxb9zd3dsWQ1H02rVrU6dOjYuL46spqqmp2bx5s4mJCbdbOgc2m71///65c+d+//6dczI2NhYAcOTIkQULFnQmW7X4uHjxItTqcrvdSBgmk0kikfgahP9pSE762Wy2k5OTi4uLs7MznOsXFBQwGAy+0YArKir8/PwcHBxiY2P5mh9mZmZeu3bt/PnzfK9WVFS4uroePnwY6kw3b94MZxouLi6vX78W+aN1koyMDHl5eRUVlfYSsksGFEWHDRvWHYIwSx3JST+GYenp6TBXxZYtW+AZKpXq4+OzefNmaNLDA5PJPH78uJOTU3Z2dturKIpev37d2dmZ70cARdH79+9v2rQpLS1tzJgxsrKyNBrNxcUlOTlZtA/VSWpra/v16wcAOHHihFQ6wM3evXt37twp7V5IH8lJf0tLy9SpU6HSfdy4cRxHCqi8h/N1vlOdoqIiNze33bt3Q51PVFTUP//8w7kKfcxXrlzJ1z4eRrzC4XB9+/bFMGzBggV8DebEDZPJnDdvHgDA3t6+O+hbqFSqvb29VH6KboWEpJ/NZq9YsQKq+RYvXgwAmDNnDvealclkHjp0yM3N7dGjR21vR1E0Li5u3bp1586dMzY2buvfWFZW5unp6ePj09bov6WlhUAgDB8+HMMwR0dHySfVQ1EUmnkbGRl1n9k2k8n8Ezx3O0ZC0n///n0EQTQ0NKqrq1ks1q5du6A1G89AWFNTs3bt2oULF/Kd6rBYLBsbm/79+3/+/Jnvf+758+c2NjZRUVHciwGo8IHhaWHGNVE/3C/4z3/+A7PESUvFKS1qa2t37doVEBDAHeSrWyEJ6f/+/buampqamhonyA+LxYJRsNesWdNWQ//p06fly5fDZTH3+fT0dFtb26ampp07d65bt47vOApdeGfMmMFZ3R47dgwAEBwcjGGYo6Mj32+L+EhKSlJVVcXhcDExMZJsV+rQaLTRo0dv3Lhx8uTJmzdv5pwvKys7cOCAt7f36dOnpR66S+zSz2Qyra2tAQA83hXNzc0w8O/mzZv5DuTPnj3z8vI6efIk1NugKDp//nzONyEjI2Pq1KlHjhzhO41uamrauHFjYGAglUqFoVDgUmH69OmSDBWYlJQE7ThOnjwpsUa7D9Da/M2bN1ZWVvBMWlqampra0KFD3dzc1NTUjI2N+dq/SAyxS/+FCxcAAHZ2dm3FtKyszMTEBACwZcsWvkKMomhCQsLixYuTk5OfPHmydu1a7qtMJjMqKmrWrFm3bt3i23Rubu6aNWsIBAKCINDty9zcXGL6/uTkZDU1NVlZ2V27dkl3hv3kyZMtW7b4+vp6e3sXFRX9sjydTo+Ojg4JCcnOzv748SPceWQymZs2bXJycjp//jwsVlhY6OHh4ezsDLfPm5ubvby8pkyZwh1NNT093cLCAqq5WltbNTU1IyMjObcrKSlxDqWCeKX/+/fvKioqCgoKmZmZfAuUlZXBLOojRoxoTxeJouiFCxd0dHS4VT0cWlpaNm3atGrVqjdv3rS9ClPo9enTBx7q6upKRvqfP38OU14fPXpUAs11AAxYjcfjPT09V65cOWPGDM4lFotVU1PDE8WkoaHB0dFx0KBBRkZGCILAVFQYhp04ccLPz+/69evy8vKtra11dXX6+vpnz57duXPnqFGjMAw7cODA6NGjDx8+fO7cOU7Tw4cP9/DwgIc3btwYOXIk90Bgb2/P17pRYohR+hkMhrW1NYIgu3fv7qBYc3PzwoULAQAIgkycOLE9O5yysrKlS5eeOHGC7zZNYWHhwoULt27dWlNTw33+n3/+AQDMnz8fHlpaWopb+lEUvXz5Msz9KJkQPR1TWloqJycHp14VFRXr1q3jXPrPf/6joqKip6fHsTdhsVjOzs4bN26E7mNz586dPXs29Cyzt7eHXjhQq3b48OEVK1ZgGEahUExNTTEMCw0N5fk4YxgWFxdnbm4ON7aXLFliZGS0c+fOXbt2bd++febMmbKystKN2C5G6YemDYMGDfplPGfokgIlhkAg+Pr6cittamtrOWrK9PR0BweHhISEtmtlFEVzcnIcHBwuX77MmUedOHECAMAJVGhpaSlWKzcqlbpq1SqYe/Tdu3cUCoWvp6Uk2bZt28CBA/n+C2D4ExaLxfm5Xrx4AbcFMQxrbm62sLCAM8a4uDhuw7impiYYggXDsFu3bi1ZsgTDMDabbWFhERcXx9OKt7d3SkoKjUZTUlKysrIa91/69u2LIAjf4EsSQ1zSn5eXp6mpSSAQOi9tN2/eVFVVBQAEBgauWLEiLCwMxuTx9/fnNtphMpmRkZEuLi587QXodPqpU6dmz54Nrdnmzp2LIAgnL7RYx/6srCwYjUJfXx9uvdXU1NjY2EgxUFRzc7OKigrfLQ4qlbpo0SJzc/NJkyZxpH/Pnj2cFNxlZWWc86GhoR8/fuTc+/r1a6hBbm1tNTY25rjLuLu78/iOMRgMQ0PDlpaWsrIyVVVV7jFr+fLlZmZm0t37E1c8nx566P6IK6QRmUzW1NTkyfjZGerr693d3WHszpMnT/bt23fJkiW5ubl8C6elpTk5OQUFBcEEozw8f/4cQRBLS0vOGUNDw7Kysq52qQMwDIuLi4MfcTU1tYsXL3Kn7gIAsNlsBwcHGDxd8ty9exdGFO4ktbW1enp6ampqdnZ2CgoK7969g+efPn2qpqamoKAAtylLS0v79eunoaHRp0+fysrKe/fuGRkZ6enpDRs2jMFgfPz4UV5efvr06erq6qampjBDGYZhkyZNUlFR2b9/v5+fn4yMzPjx45uamsTx1F1AHB+U5uZmAoHQcS6gDkBRNDk5Gc4i4Ic7ISFh3759PJtfEDab/fDhQxsbm2vXrvF8Rk+ePAn+u88FIZFIIpz5FBQUQM90BEFsbGz4dg/DsOrq6j59+ogjnYc4qK+vh052NTU13L9nTk4O9+SHyWRyQlEwGIx9+/Z5eHhwgsvfvXvXw8PjyJEj3EqI8vLysWPHqqury8nJWVlZtRe5Q5KIRfpv3rxJJpOFzH1Ao9FGjRoFo/nZ2dlFR0d7enpynLnaFj5y5Iibmxu3CE6dOhWHw3EnZTE2NhaJ9BcVFbm7u8MIWfLy8hERER2X//Tp07hx4/jasf6BUCiUbmJiJHrpr6ysVFNTO3bsmPBVoSj68+dPmIsXQRALC4uVK1e6urq2lxWipqZm48aNu3fvZrFYLS0tMM4Zd7QcBQUFIaU/Nzd3w4YNcHVOIpH8/f3bG/J5OHv2rJubWzf5r/cAEbH0//3330ZGRiNGjBBttbm5ucuWLeMkmpaRkfH19W1vKH38+LGvr29gYCCCIPPmzeO+pKioyK0+6jx0Ov39+/dTpkyBwV9xOJy7u3uXqkJRdOXKldCJuYdugiilv7W11cLCAgDQnulB54mNjW27J19dXb1o0SJORE4lJaWgoKD2fJR8fX0BADDDOAcXF5eHDx92qScNDQ3nz583MDCAuTuJRKKfn59ghqIMBmPcuHE90WS7D6KUfpht3NDQUEgNd35+vp6eXntDe3Fx8aVLl2xtbWE2egUFhcmTJ+/duzc9PZ17krNy5UoAAI/b14IFCzoTzYrNZufn5x8/ftzGxgZm4wIA6OrqHjx4UMjdq+LiYl1d3d87EeK/CJFJP4PBGDBgAIIgwmSAgyxatKht8J+2lJeXb9myRV9fnzMbMTEx8fLyOnz4cFRUFJlMJpPJcD+Sw6pVq/i6gDU1NZWUlNy8eTM4OHj9+vW9e/fmhLcnk8nz5s1LSkoSVQbi9+/fa2pq8g3c0oOEEdlu16NHj5ycnGxsbJKSkuAkQTBevHixcePG1NRU7mDlHcBkMjMzMwsKCk6fPv358+fGxkYmkwkvIQhiYmIyaNAgqI83MDC4cOHCokWL9PX1GQxGZmYmjUYrKSl5//59c3MzzCrHuVFHR2fSpEnW1tYLFy5UVFQU+HHawmazly1bVlhY+OzZM1EF7O9BQETyDqEoamVlBQDYu3evMPVQqdShQ4fypJLufB/YbHZxcfGNGzeIRCKCIGZmZgoKCkQiEYfDEQiE9rKVIAhCIpHU1dUtLCxWrFhx+vTp9PR0sZonMJnMWbNmtefY0IPEEM3Yn56ebmlp2adPny9fvnBnb+4qoaGhsbGxL1++FKYz2dnZQ4YM0dbWhhFTGhoaWltbCQQChUJxdXW1srIaMmQIXDMAAAwNDfX19TU1NdXV1YVptKu0trYOHz5806ZN0N25B6kgmi8vNKucN2+eMKKPouiDBw+gI6Iw3LlzB1rnEolEIpEI98sgysrKAwcO7NLmv5iQk5OLjIycMWPG8OHDhw8fLu3u/KkI//moqqoikUjy8vI8tvVSgcFg6OjoyMjItA1rjnVa5yMxdu/ePWTIEOl69/3JiMDK7ebNmzQabc6cORKePPAlISGhvLx81KhRBgYGfAt8+/ZNwl3qgL/++ktWVnbJkiUoikq7L38iwko/m80+deoUgUDw9vYWuBImkzllypTk5GQhOwMAOHLkCADAzc2N71UZGRlh5mYiB4fDxcfHP336FBrk9SBhhJ33v3//Pjc3d/jw4SNHjhS4kps3b2ZlZbU3WneezMzM58+fm5iYeHh48C3AZDK58zZ3B9TV1WNjY2fPnq2mprZkyRJpd+fPQtixH2ak8/PzEzj7cWNj49atWy9fvmxoaChkZ2BWkhUrVrQ3wKuqqhYVFQnZisiZMGHCoUOH1qxZk5GRIe2+/FkIK/2PHj3S1NS0sbERuIa9e/dOmzZtypQpQvYkPT09JSVFTk6ug/TANBoNJnbvbixdutTBwcHLy0sAf6AeBEYo6S8tLS0pKbG3t9fV1RW4hsjISOgxJCRRUVEAgPnz52tqarZXhkqlCt+QOMDj8ZGRkUpKSjD+hbS786cg1Lz/5MmTbDYbhmoTmG3bthkZGQlTAwAgPT39zJkz8vLyO3bs6KBYXV0djUYTsi0xoaKicvTo0REjRgwbNgwG+u1B7AijLjU3N0cQ5MePHyJRvgoMiqJOTk4AgF8mo7W0tITBCLotoaGhKioqUv9J/xAEn/l8/PgxIyNDT09P+NWqkFy/fv3hw4ccn+sOoFAoGhoakumVYPj5+fXr12/+/Pl0Ol3affn9EVz6YZg0c3NzwdaR0HVa4NY5tLS07N69GwDg7+8v9fdQeAgEwqNHjygUCgy6Ju3u/OYILv3Pnj0D7e8rdUxDQ8PgwYNzcnIEbp3DlStX8vLyzMzM1qxZ88vCBAIBRvbszvTq1SshIeHmzZvh4eHS7svvjmATpvr6egKBgMfjBfPxCwwMFEneqPLycmVlZQRBOpmA1tLSMjw8XPh2JcDRo0fl5OS6Q9iP3xgBpR9aJfTv318AC/W8vLwJEyZweyEKBpvNtre3BwBMmTKlkwHxzM3Nvb29hWxXMsDYy6NHj+aJsdyDCBFw5pOQkAAAsLe376obF5PJXLRokbe3t/C7To8fP46Pj1dQUDhy5Egnd5ozMzO5DZ67MwiCXLx4sa6uLjAwUNp9+W0RUPpLSkoAAJwQI50nMzMThsMWrF0OFRUVGzduxDDMx8dn8ODBnbwLh8PBRNn/CgwMDI4fPx4eHp6ZmSntvvyeCG6cAwCAwQa7hIWFxdu3bzvps9sBISEh+fn5w4YN69I+8bBhw/5dkjRjxoxt27YtXLiw2+5S/6sRRPpRFE1NTQUATJw4sav3IggisD0ch6dPn546dYpEIl2/fp3jo9gZGAzGv2Xmw2Hr1q36+vorV67s8QEQOYIIIg6HMzMzw+PxMN9EJykvL/fx8RGgOR4aGxvXrVvHZrMPHDhgZmbWpXtlZWX/ddJPJBJPnz4dGxt77tw5affld0PAYdjAwIBEIqmoqHT+ln379gm/z4ph2JYtW3Jzc0eMGLFhwwYBaujSt6KbYGxsfPXq1S1btgjs79/S0pKXl9czfeJFAD0RiqKTJ0/W0tLqvLozMzPTyMhIeOXdpUuXAADy8vJZWVkC3G5paRkQECBkH6RFaGiosrJySkpKV2+8ePEi3BXp3bv37t27u23uaMkjiPSzWCxVVVU9Pb1OSj+LxbK2thY+UW56ejoOh0MQROBUZ5aWlv/eOLIsFmvTpk2qqqpd2gJ7+fKlsrLy+fPn4+PjjYyMZGVlJZaztfsj4NhvamqqpaXV2tramfI3btxwc3MToCFufvz4oaOjAwBYvny5wEGgLC0td+zYIWRPpAibzXZ1dV20aFEny9Pp9AEDBsDtbRqNZmho2M1NXCWMgHu9U6dOBQB0Mj+Fs7Pzly9fBGsIwmAwHB0dAQDGxsbCRFmztLTsOH1q94fJZHY+km58fLyhoSEcpEJCQgwNDaWbJa67IeCqFw7DxcXFnSl8/fp1AXYGOGAYFhwc/OjRIy0trcTExC4pmn4/CAQCzJ3RGUpKSrZt2yYjIxMbG7tnz56JEycKr27+nRDQtwuK4C810CiKIggipLxev3597969ZDI5KipKeBvmhoYGIWuQGPDnRVG0uLhYTU1NgJ31iRMn2tranjhx4sePH9ra2klJSXQ6/d+o9RITAko/jJPMYDA6LrZq1Sp3d/fx48cL1goAIDo62sPDA0GQw4cPz5gxQ+B6OCgpKQlfiWTw8vKqq6srKyt79+6diorKt2/feMw0WCxWx1Gg+/XrFxUVlZOTM3HixD59+mRmZvaI/v8g2IQJBszpOGJzcnKyhYWFMBPNxMRE+N/atWuXwJVwY2xs/G/R+RQUFEALwgkTJly5csXc3Jw7ZaKhoSEej8fj8b/8hXsm+h0g4Njfp08fAEBhYWF7Bdhstre3d3BwsMATzU+fPjk6OjIYjKCgoL/++kuwSnioq6tTUFAQSVXi5t69eyoqKmFhYZ6enjgcbsGCBdxWsYmJic3NzcrKyrKysu39wlBBlJycbGhoKCcnJycnV1FRERgYOGvWLEk9RHdHQOmH9gIdWIw9f/5cSUlp+vTpgtWfm5s7ffp0Go3m6uoqKtEHAMjKyv4rpL++vj4oKMjb25sT35x77dTU1PT06VM2m00ikdhstqenJ9/5Dx6P37t3b0FBAYySW1FR0dLS0qtXLwk9w78CwT4Z6enpAIA+ffpUVVXxLeDk5CTYdiyGYdnZ2XCC6+fn18kthU6ir6/frWI4t8e2bdvU1dUbGxv5Xo2PjzcxMRk+fLiTk5OXlxeTyeygqpqamry8vJ75D18Ej2gybNgwAMCDBw/4XhU4y1VSUhIcnseOHSuqVFkc8Hj8/v37RVunOHB3dxd+fxDDsJiYGGVlZV1d3QULFnT8kvyZCK79nTNnDgDg8uXLPOeZTCaFQuGkOuw8ra2tBw4cmDJlSktLi7Ozc2JiogCV/JJ/hY1nWFjY8ePHha9HX1//1atX3759S05OTkxMFL7C3w2B35vPnz8DAFRVVevr67nPL1u2LCIioqu1lZWVwSjQOBxu27Ztwnv98oVMJgcGBoqj5u5MY2OjhoZGWlqatDvS7RBc+tlstrGxMQCA23SktbXVxsamSzMWNpv9/PlzGAlUUVHx6tWrAnfplwwePNjHx0d89XdDmEymnZ2dpqamkJmGf0uEimR49uxZAAAej3/58iU88/79++Tk5M7X8OzZs0mTJsGvkIWFhbgDeKirq/v5+Ym1ie7GoUOHZGVl21ue/eEIJf1MJhMan5mYmHz9+rVL96alpc2aNQtu6JBIpMDAQJ4ZlDjA4/EiiSP0byEsLAxmx5B2R7opwmatq6io6N+/PwBAR0fn5s2bxcXFHZevrq6+f//+qFGjoNzj8fjZs2fn5uYK2Y3OUFVVhcPh/P39JdBWd4DFYmlpaQ0ZMsTb2/vSpUvS7k53RAQ5G4uLi0eNGgWHcDKZHBYWFhcXV1payrHCZ7FYRUVFcXFx3HnPSSSSo6Njamqq8B3oJN+/f0cQxN3dXWItSp0DBw4MGjSod+/eGhoaYs2//S9FNLnamUzm0aNHoZsvgiDQBEVfX3/MmDELFy40MzPj3o3X1NT09fXNzMwUSdOdJzs7G0EQe3t7CbcrXVAUZbFY7W1K/uGIJlc7hEKhhIaG3r9/Pz8/v6WlhadmLS2tESNGeHt7W1tbk0gkUTXaeerr63V0dCwtLWH06R56EKX0QzAMgxEEKBRKbW1taWkpAKBv3762trbi2L3qEgsXLvz27VtPcrgeIKKX/u5Mfn5+XFzc2rVrpd2RHroFf5b099ADNz1enj38ufRIfw9/Lj3S38OfS4/09/Dn0iP9Pfy59Eh/D38uPdLfw5/L/wOGnJKo7pmM7gAAAABJRU5ErkJggg== | Compute the area bounded by $r = a \cdot \cos(3 \cdot \varphi)$, which lies in the circle $r = \frac{ a }{ 2 }$ ($a > 0$). | $A$ = $\frac{864\cdot\pi-648\cdot\sqrt{3}}{5184}\cdot a^2$ |
6f89334a-66bb-4ebe-ac5b-66e0e30d45e4 | differential_calc | false | null | Find the derivative of the function: $y = -4 \cdot x^{\sqrt{5 \cdot x}}$ | $\frac{ d y }{d x}$ = $-\left(\frac{4\cdot\sqrt{5}}{\sqrt{x}}+\frac{2\cdot\sqrt{5}\cdot\ln(x)}{\sqrt{x}}\right)\cdot x^{\sqrt{5}\cdot\sqrt{x}}$ |
6f92ed01-c020-4669-aa75-6a1803ed5b3e | sequences_series | false | null | Write the Taylor series for the function $f(x) = x \cdot \sin(2 \cdot x)$ at the point $x = \pi$ up to the third term (zero or non-zero). | The final answer: $0+2\cdot\pi\cdot(x-\pi)+\frac{4}{2}\cdot(x-\pi)^2$ |
6fbded2f-1451-45fb-b45b-817b52db5081 | algebra | false | null | A substance has a half-life of $2.045$ minutes. If the initial amount of the substance was $132.8$ grams, find the exponential decay model formula. How many half-lives will have passed before the substance decays to $8.3$ grams? | Model formula: $A=132.8\cdot e^{\frac{\ln(0.5)}{2.045}\cdot t}$
Half-lives count: $4$ |
70213df7-9bd5-40b0-8ee8-80692374e39b | algebra | false | null | A town has an initial population of $53\ 000$. It grows at a constant rate of $2100$ per year for $5$ years. The linear function that models the town’s population $P$ as a function of the year is: $P(t) = 53\ 000 + 2100 \cdot t$, where $t$ is the number of years since the model began. Find the $x$- and $y$-intercepts. | $x$-intercept: $P\left(-\frac{530}{21},0\right)$
$y$-intercept: $P(0,53000)$ |
70d548f2-b9a7-4d27-ad68-b0e32d82f5f7 | differential_calc | false | null | Find the derivative of the function $y = \arcsin\left(\sqrt{1-x^2}\right)$. | $y'$ = $-\frac{x}{|x|\cdot\sqrt{1-x^2}}$ |
70d6b1ed-272e-406b-853f-826b497f9b81 | integral_calc | false | null | Solve the integral:
$$
\int 5 \cdot \cos(3 \cdot x)^6 \, dx
$$ | $\int 5 \cdot \cos(3 \cdot x)^6 \, dx$ = $\frac{5}{8}\cdot\left(\frac{5}{2}\cdot x+\frac{2\cdot\sin(6\cdot x)}{3}+\frac{\sin(12\cdot x)}{8}-\frac{\sin(6\cdot x)^3}{18}\right)+C$ |
70e0b33e-584d-4813-b358-4056044430ea | precalculus_review | false | null | Find the range of $f(x) = \frac{ x }{ 1+x^2 }$. | The final answer: $-\frac{1}{2}\le y\le\frac{1}{2}$ |
70ff52a6-d767-4315-9035-91c8cf38c9c5 | differential_calc | false | null | Consider a limousine that gets $m(v) = \frac{ 120-2 \cdot v }{ 5 }$ mi/gal at speed $v$, the chauffer costs $\$15$/h, and gas is $\$3.5$/gal. Find the cheapest driving speed. | approximately $34.02$ mph. |
7109a551-97df-40ff-9e0d-8973e82c6726 | precalculus_review | false | null | Find the degree, $y$-intercept, and zeros for the polynomial function $f(x) = 2 \cdot x^2 + 9 \cdot x - 5$.
1. Degree
2. $y$-intercept
3. Zeros | 1. Degree: $2$
2. $y$-intercept: $-5$, $\frac{1}{2}$
3. Zeros: $-5$, $\frac{1}{2}$ |
710e1a90-6ff1-4545-a62e-9c4e38632819 | integral_calc | false | null | Evaluate $\int_{0}^\pi \sin(5 \cdot x) \cdot \sqrt{\cos(5 \cdot x)} \, dx$ using substitution. | The final answer: $\frac{2+2\cdot\sqrt{-1}}{15}$ |
714057c2-e085-4f6f-b664-9c3fe27b6536 | precalculus_review | false | null | Given two functions $f(x) = \sqrt{x^2 - 1}$ and $g(x) = \sqrt{3 - x}$:
1. Compute $f\left(g(x)\right)$
2. Compute $\frac{ f(x) }{ g(x) }$ and find the domain of the new function. | 1. The new function $f\left(g(x)\right)$ is $f\left(g(x)\right)=\sqrt{2-x}$
2. The function $\frac{ f(x) }{ g(x) }$ is $\frac{\sqrt{x^2-1}}{\sqrt{3-x}}$, and the domain for the function is $1\le x<3 \lor x\le-1$ |
714ca4e7-c104-45fa-b50b-076018133858 | multivariable_calculus | false | null | Find the center of mass of the region $\rho(x,y) = x \cdot y$ on the circle with radius $1$ in the first quadrant only. | Center of mass: $P\left(\frac{8}{15},\frac{8}{15}\right)$ |
71669c2a-8586-4e3d-b006-4b18c6143243 | precalculus_review | false | null | Find the domain of the function $f(x) = \sqrt{\cos\left(\sin(x)\right)} + \arcsin\left(\frac{ 1 + x^2 }{ 2 \cdot x }\right)$. | The final answer: $x=-1 \lor x=1$ |
72196b45-ca12-4d25-8f07-dc1dba889917 | algebra | false | null | A town has an initial population of $80\ 000$. It grows at a constant rate of $2200$ per year for $5$ years. The linear function that models the town’s population $P$ as a function of the year is: $P(t) = 80\ 000 + 2200 \cdot t$, where $t$ is the number of years since the model began. When will the population reach $120\ 000$? | $t$: $\frac{200}{11}$ |
7224831a-52ae-4ea0-9309-2dcc80603125 | integral_calc | true | 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 | Find the areas enclosed by the curves $y^2 = 2 \cdot x$ and $y^2 = 4 \cdot x - x^2$ using integration with respect to $x$:
1. The area of the smaller, shaded region.
2. The area of the larger, yellow region. | 1. The area of the smaller, shaded region is $2\cdot\left(\pi-\frac{8}{3}\right)$
2. The area of the larger, yellow region is $2\cdot\left(\pi+\frac{8}{3}\right)$ |
722661f3-5831-4484-beba-4d3d1b7997eb | integral_calc | false | null | Find the arc length of the parametric curve given by $x(t) = \frac{ 1 }{ 6 } \cdot t^3$, $y(t) = \frac{ 1 }{ 9 } \cdot t^3$ on $[1,3]$. | The final answer: $\frac{1573}{90}$ |
72bf7325-f168-4eca-843c-f1a99eba2924 | algebra | false | null | Calculate the average rate of change of the function $f(x) = 20 \cdot x - 2 \cdot x^2$ near $a=3$ over the intervals $[a,a+h]$ for $h=0.1$, $0.01$, and $0.001$. Use these values to estimate the instantaneous rate of change. | 1. The average rate of change for $f$ near $a$ with $h=0.1$ is: $7.8$
2. The average rate of change for $f$ near $a$ with $h=0.01$ is: $7.98$
3. The average rate of change for $f$ near $a$ with $h=0.001$ is: $7.998$
4. An estimate of the instantaneous rate of change is: $8$ |
72f5d1f8-3991-417a-8065-2b5469b8c052 | algebra | false | null | Use Descartes’ Rule of Signs to determine the possible number of positive and negative real zeros of the following polynomial:
$p(x) = x^3 - 6 \cdot x^2 + 2 \cdot x - 3$ | The number of positive zeros: $1$, $3$
The number of negative zeros: $0$ |
73162ddc-c250-44af-bed6-5ca6cbd8440d | precalculus_review | false | null | A restaurant owner wants to sell T-shirts advertising his brand. He recalls that there is a fixed cost and variable cost, although he does not remember the values. He does know that the T-shirt printing company charges $\$440$ for $20$ shirts and $\$1000$ for $100$ shirts.
1. Find the equation $C=f(x)$ that describes the total cost as a function of the number of shirts.
2. Determine how many shirts he must sell to break even if he sells the shirts for $\$10$ each. | 1. $f(x)$ = $7\cdot x+300$
2. $100$ shirts. |
731b3efc-3845-4ff1-8226-56166a4e8859 | multivariable_calculus | false | null | Find the moment of inertia of one arch of the cycloid $x = a^2 \cdot \left(\frac{ t }{ 4 } - \sin\left(\frac{ t }{ 4 }\right)\right)$, $y = a^2 \cdot \left(1 - \cos\left(\frac{ t }{ 4 }\right)\right)$ relative to the x-axis. | Moment of Inertia: $\frac{2}{15}\cdot\left(64-43\cdot\sqrt{2}\right)\cdot a^6$ |
734307ce-146c-4611-8188-1e99a85f7008 | algebra | false | null | The radius and height of the right circular cylinder differ by two meters. The height is greater than the radius, and the volume is $15.125 \cdot \pi$ cubic meters. Find the dimensions of the cylinder. | $r$: $3.95546093-2$ $h$: $3.95546093$ |
73840a81-4100-4726-8539-d48e5f16acf9 | sequences_series | false | null | Find the sum of the series $\sum_{k=2}^\infty \left(\frac{ 3^{k-1} }{ 4^{3 \cdot k+1} }\right)$. | The final answer: $\frac{3}{15616}$ |
73d9da66-451f-4585-a1cb-d03ba5a29318 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ 6 \cdot x^3-7 \cdot x^2+3 \cdot x-1 }{ 2 \cdot x-3 \cdot x^2 } \, dx
$$ | Answer is: $-x^2+x-\frac{1}{3}\cdot\ln\left(\left|x-\frac{2}{3}\right|\right)+\frac{1}{2}\cdot\ln\left(\left|1-\frac{2}{3\cdot x}\right|\right)+C$ |
73de1a56-66c6-4eac-929a-6307d780e875 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ x+2 }{ \sqrt{6+10 \cdot x+25 \cdot x^2} } \, dx
$$ | $\int \frac{ x+2 }{ \sqrt{6+10 \cdot x+25 \cdot x^2} } \, dx$ = $\frac{1}{25}\cdot\sqrt{6+10\cdot x+25\cdot x^2}+\frac{9}{25}\cdot\ln\left(1+5\cdot x+\sqrt{1+(5\cdot x+1)^2}\right)+C$ |
742ba56b-3cf1-4e54-912d-1fe003842acb | sequences_series | false | null | Determine the Taylor series for the function $f(x) = rac{ 1-x }{ (1+2 \cdot x)^3 }$, centered at $x = 0$.
Use this decomposition to find the sum of the series $\sum_{n=0}^\inftyrac{ (-1)^n \cdot (n+1) \cdot (3 \cdot n+4) }{ 2^{n+2} }$.
1. Submit the Taylor series in summation notation.
2. Submit the sum of the series. | 1. The Taylor series in summation notation is $\sum_{n=0}^\infty\left(\frac{(-1)^{n+2}\cdot\left((n+1)!\right)\cdot2^{n-2}\cdot(3\cdot n+4)}{n!}\cdot x^n\right)$
2. The sum of the series is $\frac{2}{9}$ |
745e79db-e211-4134-9a5f-2f6014fa502b | differential_calc | false | null | For the function $y = 2 \cdot x + \ln\left(\frac{ 1 }{ \frac{ x^2 }{ 2 } - 1 }\right)$, determine the intervals where the function is increasing and decreasing.
Submit as your final answer:
1. Interval(s) where the function is increasing
2. Interval(s) where the function is decreasing | 1. Interval(s) where the function is increasing: $\left(-\infty,-\sqrt{2}\right)$, $(2,\infty)$
2. Interval(s) where the function is decreasing: $\left(\sqrt{2},2\right)$ |
746dd4c5-1521-4d23-9036-77e4ded2dd2e | precalculus_review | false | null | Divide $C = \frac{ (3-i)^2 }{ (3+i)^2 }$. | The final answer: $C=\frac{7}{25}-\frac{24}{25}\cdot i$ |
7488ad33-1fbe-467c-afe4-e964b3e99a87 | algebra | false | null | If an investor invests $\$23\ 000$ into two bonds, the first one that pays $4\%$ in simple interest, and the second one paying $2\%$ simple interest, and the investor earns $\$710$ annual interest, how much was invested in each account? | Add both values to your final answer here: $x=12500$, $y=10500$ |
74f2e8e7-1487-4b76-8039-92dab68d4d30 | algebra | false | null | Solve the following equations:
1. $-t + (5t - 7) = -5$
2. $21 - 3(2 - w) = -12$
3. $9 = 8b - (2b - 3)$
4. $4.5r - 2r + 3(r - 1) = 10.75$
5. $1.2(x - 8) + 2.4(x + 1) = 7.2$
6. $4.9m + (-3.2m) - 13 = -2.63$
7. $4(2.25w + 3.1) - 2.75w = 44.9$ | The solutions to the given equations are:
1. $t=\frac{ 1 }{ 2 }$
2. $w=-9$
3. $b=1$
4. $r=\frac{ 5 }{ 2 }$
5. $x=4$
6. $m=\frac{ 61 }{ 10 }$
7. $w=\frac{ 26 }{ 5 }$ |
74fc23ba-f1e6-4bf3-8e2e-70d75414bf97 | sequences_series | false | null | Calculate $\sqrt[3]{30}$ with an estimate error of $0.001$, using series expansion. | The final answer: $\frac{755}{243}$ |
755ad080-c182-4f30-96a4-1a2cb0462824 | multivariable_calculus | false | null | Find $I=\int_{0}^\pi \int_{0}^{4 \cdot \sin\left(\theta\right)} \frac{ 4 }{ \sqrt{16-r^2} } \cdot r \, d r \, d \theta$. | The final answer: $I=32\cdot\left(\frac{\pi}{2}-1\right)$ |
756c8302-f766-4e1a-980a-9d56e3adf724 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ \sqrt{1+x^2} }{ x } \, dx
$$ | $\int \frac{ \sqrt{1+x^2} }{ x } \, dx$ = $\sqrt{x^2+1}+\frac{1}{2}\cdot\ln\left(\left|\frac{\sqrt{x^2+1}-1}{\sqrt{x^2+1}+1}\right|\right)+C$ |
75d9bd99-c5d9-4b47-8d12-616de1d6f158 | algebra | false | null | Newton’s Law of Cooling states that the temperature $T$ of an object at any time $t$ can be described by the equation $T = T_{s} + (T_{0} - T_{s}) \cdot e^{-k \cdot t}$, where $T_{s}$ is the temperature of the surrounding environment, $T_{0}$ is the initial temperature of the object, and $k$ is the cooling rate. Use the definition of a logarithm along with properties of logarithms to solve the formula for time $t$ such that $t$ is equal to a single logarithm. | $t$ = $\ln\left(\left(\frac{T-T_s}{T_0-T_s}\right)^{-\frac{1}{k}}\right)$ |
772d7be7-01a3-4370-b536-4a7ceed86f31 | precalculus_review | false | null | Solve $x \cdot (x+1) \cdot (x+2) \cdot (x+3) = 0.5625$. | The final answer: $x=-\frac{3}{2} \lor x=\frac{-3+\sqrt{10}}{2} \lor x=\frac{-3-\sqrt{10}}{2}$ |
774c7757-4ed5-43ae-b623-dac59dd300e8 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ \cos(2 \cdot x)^4 }{ \sin(2 \cdot x)^3 } \, dx
$$ | $\int \frac{ \cos(2 \cdot x)^4 }{ \sin(2 \cdot x)^3 } \, dx$ = $C+\frac{3}{8}\cdot\ln\left(\frac{1+\cos(2\cdot x)}{1-\cos(2\cdot x)}\right)-\frac{\left(\cos(2\cdot x)\right)^3}{4-4\cdot\left(\cos(2\cdot x)\right)^2}-\frac{3}{4}\cdot\cos(2\cdot x)$ |
77d38bbc-e5c6-48da-9bc0-143258d0e51e | differential_calc | false | null | Make full curve sketching of $y = \ln\left(\left|\frac{ \frac{ x }{ 2 }-3 }{ \frac{ x }{ 2 }+3 }\right|\right)$ . Submit as your final answer:
1. The domain (in interval notation)
2. Vertical asymptotes
3. Horizontal asymptotes
4. Slant asymptotes
5. Intervals where the function is increasing
6. Intervals where the function is decreasing
7. Intervals where the function is concave up
8. Intervals where the function is concave down
9. Points of inflection | 1. The domain (in interval notation) $(-\infty,-6)\cup(-6,6)\cup(6,\infty)$
2. Vertical asymptotes $x=-6$, $x=6$
3. Horizontal asymptotes $y=0$
4. Slant asymptotes None
5. Intervals where the function is increasing $(-\infty,-6)$, $(6,\infty)$
6. Intervals where the function is decreasing $(-6,6)$
7. Intervals where the function is concave up $(-\infty,-6)$, $(-6,0)$
8. Intervals where the function is concave down $(0,6)$, $(6,\infty)$
9. Points of inflection $P(0,0)$ |
7836bb59-a1e0-4aff-ba47-a97fb07b38df | integral_calc | false | null | Solve the integral:
$$
\int 3 \cdot \sin(2 \cdot x)^4 \cdot \cos(2 \cdot x)^2 \, dx
$$ | $\int 3 \cdot \sin(2 \cdot x)^4 \cdot \cos(2 \cdot x)^2 \, dx$ = $\frac{3}{16}\cdot\left(x-\frac{\sin(8\cdot x)}{8}-\frac{\sin(4\cdot x)}{8}+\frac{\sin(12\cdot x)}{24}\right)+C$ |
787ba86e-1894-49ad-9a6d-bb1607e13786 | differential_calc | false | null | Sketch the curve:
$y = 4 \cdot x \cdot \sqrt{5-x^2}$.
Submit as your final answer:
1. The domain (in interval notation)
2. Vertical asymptotes
3. Horizontal asymptotes
4. Slant asymptotes
5. Intervals where the function is increasing
6. Intervals where the function is decreasing
7. Intervals where the function is concave up
8. Intervals where the function is concave down
9. Points of inflection | 1. The domain (in interval notation): $\left[-1\cdot5^{2^{-1}},5^{2^{-1}}\right]$
2. Vertical asymptotes: None
3. Horizontal asymptotes: None
4. Slant asymptotes: None
5. Intervals where the function is increasing: $\left(-\frac{\sqrt{5}}{\sqrt{2}},\frac{\sqrt{5}}{\sqrt{2}}\right)$
6. Intervals where the function is decreasing: $\left(-\sqrt{5},-\frac{\sqrt{5}}{\sqrt{2}}\right)$, $\left(\frac{\sqrt{5}}{\sqrt{2}},\sqrt{5}\right)$
7. Intervals where the function is concave up: $\left(-\sqrt{5},0\right)$
8. Intervals where the function is concave down: $\left(0,\sqrt{5}\right)$
9. Points of inflection: $P(0,0)$ |
7888c61c-8515-4146-b87d-2ca3f2030b2c | sequences_series | false | null | Compute $\sqrt[5]{240}$ with an accuracy of $0.0001$. | The final answer: $2.9926$ |
78a834ca-8f7b-4688-9315-52ce28145e29 | differential_calc | true | 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3Wq37zFdZU6nbIkAGat/ZB8ay8RgKtXL7BXlnkLYEbjymHwIfEcuYRmzvYiOjO/8/nP58kyWx33kZRYR0uYcSvKJZavQJExKyAImQJMCmYCiKF4KFKxispD7KreIHjofqwA33XkWDBfg1ZY957kYGGERl+z5//WTuJenOzhRlZRri5IHz1ULNutb69PYItpuFnIgoN1ZQKzwpqy1vf3sE4HlnhlVrw4S9Z8C0h745huN/vb9myxRC/5c1v6nd7YYeTiqonKUz0Os+pZCerrLT2T2RYWUv7XUkEPpT0GBjvBAgOWSYiFV+0b6zc17VHZao/cwC+tMwY1qoWyREr0x4FCiZrBsyTy2gGAIg6UFy4VxRQeAYaY4EdPfBi2cDnmzZsQO5dvxcb288EoTNlEYRfpQzQg0Q9CaVQ9mtR4SItK/ypVOx0QTbpihEX4nGF9cUKUtGaF7ECEQ2KC42dnpwi1TiORcQYC5/XPnM1emAFcN1HEDxshWZDBIgQM0NIVSNjRXIiqBfm0t4y7L0wEaCGICokxGDvvDWRiKgRVQl+ipW4EVrL/ymtn/AUE8FwGC7ioUxEURQh7SeWp01rf+qNYe8FzMwsFaspp0FRwZSXneQh8UnE4sQYCwBemHjw19A4rcxaLW1fqW+t+kFA7SxUHuyKf468crlAAz+ljnAMIijUWpvnORvMz81s3bxxbyZEJsQiCCASUimSboujJEVgWUf6mh0UDiwvwl+LpE4SwCgZ1ZAkCFVSeEOGyXgBsQltYoP5W4xxIjIh42QklCDCY9L1NWxVwsBurXwe9RMnQZdb6mNCemSpFZa5iA3Lub9rNJ3gQiAp+9xZQPMc3lumShtF88xfFJYYW2IDIlUT/oEMCkZDRBxcnKRQISjKQ7LKRvBgD5d6Q/mH2t5wmeZZZBheVNV7T2RChQkRrWrteyVmyl75jJCwHFi/Z1IWD5cTxHtvIcZnLQZ5r6pMVkTYwIjENnJpP7EmT/sRs4orxcAqXUqwVkqIEELn4UqMicsAsdAs7RtjQGojUxn0qIywlT/GpGAYUmYV9ZllZXhxeYgbFplEIRlJvboc3hmVmEndYGCrKsELSXkclggzrwK4NM1H5H3xs8stkQHlab+8R8pUJPsVXuFCeAyL8JXZOYZgCBZgFcsgIoIJTRyJiBmRNXnab7VaYkyoohNx7VbiffCX1Iv1iUFMUC8qnrBKcd8aRnbrUMyqHLJZqWQjZ2QJKCtIQ9B7WWk9BFQnoVrP4FLwpb+FyBQZfAqIAlzyUCYi3xjzcQSFBRnqSeBIcoaDuGpMWLAlQixDVqEjB2lhuYalJgWpkEp4ngzDQBSihrg3N8+qRvKEfNsQvM/6OZGxNs76aWTYu75F3olNzJT2e7xaOWVDndyLzU4hOlo/j2HjMAgqBE+SG0hZARaqObhMqRBWHGEAeKETjLT+PFMhZYnCV6lCQxWCiPrIsCFomlnN2xbeZVAXkbSM+n43IRiNnENsI3LO9fvs3OYNG7Pu/GRsIpKIAPWSSxy3VAlgrrpzLB+KaxmsMlfPhxLkUIUcjDNSQIRqlWOVOy6gUkRQnIXDprZ84whhKgRlAimTWlIL76c6Ud6fUdfrxDHlnj2RsqpXLUpD4og7kUm859xF1oTBrt4rC0PIirYU1mWReqhYaxlGnJJC/YALrZAmWnkgWKlyIYCUTBEPZgixQj1UGAISCj9UeT8AUDmBR/4d8voLcfmv/NziDAY/PggK5yJVdplmXcl7BjlIoMpgA6Muz3sznY7tp/Pdft9Bs3Q+Zp7duwe5pyLgYogMKVQkIoLLI2ssE5NX71CUNa+GARk4DxVWMFcpKIODXxoDCBnmgbKSy1fg6vNWmuIjRLWPRYRIuVbRWGaThcI+Hlf08cAoiC+dzGVb0IH/ZFWCRjV6AiUcZBBUtSg9C4pp8Ikadj5XkYlWy6fdyLvJyMakFtppJy7L8zSbnJgQ52LDkmUtownpZKflnPO5876o9lvpO3KAqI8O1yiDhLXgRMFtWJMD4Vwssx69xLVzSF12gUOxJSIRF+wA5/qu32fX29yKN0TGAJ1WLHl3IuENiTHeEaBODanzeeg25dN+O4qmE2vzvlGNbcQ8OAgru/6kw+qOBk2eg/uWUKb46yDxtRgesBRVK8Q9yxYrSiRqGa7fbVs3ndB0Ekm/H4d+D0xKUDhIrnk/gtvQijcmseZ9QEg0NhZAbCPX77UMtrSjje3IqGRZJuLYkhMfpOCqob7+Q3kPxY9L2iRL7PXDIZ7r31V+cTBtRcSrAGIZPp2fNDh2srN5sq3esVcWZmX1LjHUn927uc0tchun2qx5J6IY2UlbN23qtNTlbMCKMM6ARFyetixNRTQVs0/71ZKvcjJHdbkH/tame2grLKx1CSABvHgoDMQ7Joh6NkQsRCrwIamy4KpNtYNHsARnXI1KGKdC1jgVKetnRYrkCBSBIRHSuBXl/b6BiyDU7/325c969cte2pvfr+paiY0suzRTL+0ovumG63770qe/9+/fOZHEoj6KImOMasglbWhfl5FUGtT82MuFhZ9GwcBim4sGT75X8VC1LCTKquI2b+icsGXjH7zqZa/6+WfcsfNHzGKNXvvtb/7mi57/l3/2J4Y9yKdpzzJNtjtpr5+n2Wf/8z9f8Yynf+XTn56wrHkW0m3KEg6/7DtqgUvtrj5/6ESPqclMyViEwCALnd2969W/+OzffPELTj5mo/MpWIkgPifx6tIt0519O2/5zWde+qorXjSRxOJywwp11hDEHX/cMZ/55Cde/swnfeKD72lHNoliIYGhXLwWIfBVq4i5a5TZZCv3BZ7hGcqlphWimSGQa+KIiMRnx26c/MDf/80rnvHkqz74/hha+KEBa0hd9/wzT/rTV7/qdc995o3f/lqHfYdctmfnbzztib/7ol+MJbXiWb1hDk0Ukpb59jev+X/Peuo//fVbN01MaU4MYgVDTfOYzZoRwBW0RPiVyBCRIbBPp43fnMiEUbhcvQRjom5pUYOvVweuiUWwaseVyBT1o4a9FMGtoGCq5FBvmEDOS2ojsPoNCX3mPz4ClQdd/OBtmzdnc/s2xX5TLFY9K3q93t3OObt14rZrr/nS7bftaJm4kruVYFulC7srhMDkQou5WvkV1RUGKbgEYqbQTwCAKHtvvGPxmucRYf+dt8/vvROS51na73UnYv7O17+CfveCCy6Ijads30mbkknK2KdxZAR68cUPBPtPfuwD6fxcnnusWPrPQV7m6Fc3YwNUpVsiwuIjn0GzxPp9u3da40VzVbXWGuKpdmv/rh0fef97QHLp05/GPu0Yv8nKxog46zFhz57d973gnnbbps9+7N9m9t7JzF7Vq7CJRNaGAbAEDof4MoRVmYODWy8C55xXMYZm9t0ZSQ7DGyc6lOdWnFUB4Lwn0j137DRZF0Bv/ww7N2HlC5/5D/js0U94XGwkQm/auE0RIiLD6HbnL7zgXphOvvel/9lzx25DBlp0Nwv1/Y1CcwXSQUABeCVjDKsz2f6P/dPbfvOpj7rq/f88GccQMFsYm4uHOoLXoery5iB0MWKp6Ra6BH9chRR0VjEgInjvmWKoFXFMjjVrW41IWXKDnMm12pH6np/f84NvXoP2xE+cf0/f7W6K9E2/dcVvXfqzt2z/TmQ5brdE3f3uezfsvfWH3/5uPt9r4h0ARiahLlQLVvSchORYJgLTfJ468rnrq6bGu+l2kmT9jvgJohhw/TTPvfb6mJo67rjjJlsRp3PfvuZqJJMnnnoaubnjJvwf/cYvvebyJ/zo+99kVQFPbZi+x4V3d7tv+u73vjsxOQ1wkc81btQ04yU5+0qXjiyIcUKgrVZL+32kPZ92QXmUOO/n24mRXBhRPt/blODGa7+Bdvvs887VvOdnb/+tX7rst5/66N7u22MmYdPZtOnu552B2T233nyTc44MZz7EEXjEfhg/Ks/WUNhlKRy6DA7NtUqzv7yhAiAKgdviH0Ec0r7PhZy0JY8kV+/iVjv3LhPZt3cOtnXaqWdCVfK57T/4JlrxyaefxiZv6dxbX/vKVz3jiTf94LvqfCdp5Wn6iEf+NFzv/776DdaYlI0xTryNo0NfoJXFGhbAWo4M2r93X2TQsdJyM/Bz3J2JXZZAXZY754wpTDplWo1eZIeOml+dFUXD5JEXrBqISNSrqjEmdZ7ZsqqRbNJmvTtuMd09trd3AznqznCWS7+/ccLeefstNDG1ddtx6nKb9VpuDjLvZ3fH5H0/a8XxeeeeDnXf/sbXp1qTVZr0GO2wpbDoOteTqJf568InV8WXgUEDxnAroi0T8VTkd23/9jEtM+n7UW++JV6z7DvfuRZOnvysnzPWJoZn7tjZ3XEzJqZOOOlkdWks6WZL8Nm0gaRdVZrrdS+47z0B979fvto7B0iVDT52MaChU2D4+a43wgqaj9VSMNn52bmN7QR5alhbEaX77jh2ut3dvXsiiuB8ZHj/7tv8/Mym449rdzrthLZ0TEt68D3T3RflaRy3nJNjjzsGPvvBd77DIlmWRTZWEXhZNCi7+hgKCY+ewaoEabm+bJF0lhADDpR47yc6LfEpkM3v3zMZ2SjvuX23b55IZvfduXF6w/eu/cH8bbsf/aSnbT32uCxL8/7sbbfchMnp40480fXnp1vWZrPwczy3f0Mr7nf7WZbd7dxz4Hvf+863IgtRJyLGRGHgX6Ng7/olDUM9pZlUSGnzhknS7NW/8zu46RtM9OWPfPDLV/3XOT/zuKf8/HM9Ue5cZK0TVWIQC8aZy70Qg877S1eEYRVlsHoxhp14siZ0HGDJW9S/5dr/+/A//+Md198IBZDDdtA+/k1ve+t3v/kZzOyZOume1sb92b2vednzkd7OUfRPb/4jmLc/+3d/74zTjp+amoLlnTt3tlqt+f6MGBpxQTdBGFQoKQMA0iNd+Vrca/E/hwztQiiKRpa78/un27Rv583/9i//+v2vfAnzMxBFexMy/OJrXvtv//BP5z7kkfd94EP3dOe6vbkffP+7gBx78olgm86mv/6KK7D/TjbJm1/zGrQ3/MJrXn/ySduOO+Z4UHTbzT9SlwMqoWXx6gYhC01fi9Tz+u0Wghah4BWwwEbeOJpbh8L5RCAIqyh8pxW7WQfJDPmPffB9//2p/0TqoxPPeO4vX3HCaWdZstfddAMknz7mmEx9f9dtb/i1F0GVjX3T//sNJBuf/9o/PvGkY04/9XQodt56y2QrSfueihlQZbn2sjeAO1wI1VhQyJSj5axVKBOnw4ymwc8aJs3DGGKG5FmqksL6+X23/8WfvO6Wb38Nxp56/wc994Uv6M/M/stb/+rUi376gQ/92W6etdp2x3U3Y2ZvfMrpSTwxN9v91ec+A/kcmeTdb/kjSPT4X3/l/S+695wQ4mT37Teqzkcm6osoq8iK9xI5VKxJC3g4rKuR4cjQGWeelkxNis/bWzZvPP3MM846q9VqZVnGzN4PpuI07QYEjHSJEhobmUwkXo0hEWFm8XlsQC79mz++8o6btp9w3JZjj9kYJREic8o55xpjtm//AYDJqSkbx5PTU8efdVY8MRnHrYltx24759xW0gFH7alpRDbbt2/v3r3W2qpxcYUxWwPD/Gahh5BKC3V57fWRTwuNopgw3YoTlv/89w98//Of2rp56viTj53YNIk8nzju+KmpqTf9/buf8qzLex4T01Pi3Lf+7xtQPfduPyFkolZr8ymn0sSkONl43PHHnHk2rGHmqckN1Gpl/dQ7tzC/bPURNndRcVTr7bASPZ8PDUxEmueZZQJJ9447/vtTnzrhxBPNRJLfeuO7/+Yv87TnnLvhhhsguuXYbbmiMzk5fcrJxsQqtPXEEzefcmrqvHN+65ZjQLTzhuv7MzNwol6iKKpnP4wd9RTIohJypb5qtJi4OlAIPUpBUWRADnn/K5/+r9137tx26omI9Karv/C9b3w9ZvPn7/3gL/3Kr/fIzKU9G9NNN90AYOu2Y0RNuzWx5ayzuN1W76c2b5o89fQTTjx1rptu2rQJLkt378p788HhExI/V+oSDxdrzwIOqCwnA0rT1Jr8l37pl/413f31L1994cMf/TNPfc6M5709h7jlUdSWmND/q2GJ0HVJW6bh8Bh1Y4Ih8qoC8YZEfJq0+NYbb0Kve+HF9//l570oz/2b/uzN195462W/+PNdzeZ7fYCPOfmElITIvPL3XvfHv/Nrt1x/wwtf/BvHnPYTjo1wapMOQOj39+7ZvWni+Kr0lGottBplAS+VGXQYRB5AnKhq0TKn6G1LzBRJHhs3t+eOb3zlf5G0XvOa13Za5jOf//w/vPNDD3jYzxxz4mm379ufK3Vi283mp1qm2+0CvGnbMT0vNmn99h+87vW/ccUdN+940rOfc8r5951jk/oei2tPdLpz3X6319oy1XdpORAtNF5YsSb7BxQ0S8qhEClaFTdVsMWKbyWBCiCKXOEAxcSG33r1azdNJ1l3/rdf+du9/Xf6PI+jSJzA66Yt2ySK+s7+7pV//Dsv/OX+TPfZV7y8c+wpLpnKs7mkPQk12Dfj5ufbGzalTmCDp2Pw7UuleqwOikMXipjLwtzl/5Zab3CqyT+FcOj1RABTv99XVbA974EPesGLf6W757ZPXfWJz/zbx3fcdOs5P3mfXftmyU7s7c5ObphM87379u2D4uRTT+87Z2P7q6981T/8yeuv+9a1l1/x0g2nnItkKuvunmq3OI5lppfNp8kkQRGqOZrhdxhgrQrgYbD3PlPfmtgANftz1wdSIW+ImKEwoUGbKqGZUeBFweXjqmoMXiX0Oo/jqDfXn2zb/vz+447Zhij65v99+yMfvSr38v0bbkbUdlBE5ke37AAbE0WemDiez/veRODkzrnsuM6GPO3D91g8ogh9idgYY4SKGqRKBx+v9L1LX+wK7ZlgCkmYDsGM0OYfzvn0mA3TZ55++g+//s33/esHTzh+02e/+BVwvPWk0/bO9xHFthXtmdk/PR3357oz+/cDYBupMRwlM/P72ERQyY1J1atJxDGYnQgIURI75+I4Dj2ZQ04QYTABd+UhgFnw5Nju/ojmJ6RexcRR7jxMZNuTydQGib33bFoM9jBKhm+44QZYS2TYJl6TvnjbamG2tz/TKGr1XJYYdaKgCGxcmk3ayENylxsz6I5FtKyu3iMAERFWUAOujs/IrIHQaZ2IREGG2USAPfWs8/Z3s3ZnwrbaIFavbJJ5MZr5eKLdz3sbrNm54xYwt1odk7QyuHYryRXg6Pb981NR2ztptdp5V4WBKPH9XIUUwqwiglXoZXQoaBY1BwlW4lpg3xijYti0UgfAKLEazuGKXn4SRquQqpJpusIx9iPJ1giImbN+Glk2xOL8hg0bHvKoR/X6/Q/86wf//WOfljn37Oe/aHLThj379px2+hkAp1nPqbBJZuf6cRyDdXa+O9PtTUxMZXnOTCCB+lachPIwlDlHDXHHLYWVVtcqrieEMLi71WpNtFu97twTHvcY5PI///PF9/zj+267accpFzzgnJ+6wLQmycReZGpqIk17UWw7nRaALMsI3OtmLDZiCyfO9526TtJutTreqxCDJZOcTNHZo/r25a7GPhKWMvreoqp4Yfn/soHKf+XRY0q9OGEgcZ5z2FmgC/EknrwYmytv3boVzqvz8LCtiTv3zQgBZNLMJ50pGAULxxGY4Kk9OdXNe8KeDIcGfeFfQyyButzV4YGAy/P5pcCTMgW6SsUSCW3JiYhUiCiC2tRFwu0MxoUek8qZAMYAYkiYAfWbNmyEaJrmAuqJzPvMgWHsRHsy7/W99141ZUVi4X0StVjUUjUSad0CXg4UkRQlL2CiqN3u93pkE5jY9+anYqNRcvu+uQ3Tm5yqOmKmML6q2Qx//HAqYFIlE8W+L/1+f3qy/c1v/O9n//3Dlz3nF8448/z9M/3Tzjknj6JUdOvmLVEUQeTO2+8wity5Vtz2TiC6baqzbTKZmd8XGzZekDvErYmpaW8Nqa9Yv9aGFI370ou26av0XaFBWzDCCinIxDw7N5dRb7Mxb37zm48946RXvuw3bv3RTdH0tjMveNj3b90tFEWdlktzkDfGqMNxx51wy3ev333HnQA6ScvNd5kZxnQMT8c2dW5+Zua4qSmXpphsM7O1Ns37zFytuaou//qPjLKr/VzPays7UGHICF6WMXgHDSoHiqAYGwVjIk8xxFI8AZvAEEwMeEDy3HU6na3btgE6NzNrjHEenanp3AGAZv10Zs8xx2ya2T3Tm98PcZju2KQ1p46gxAag0GK2+Tjy9MMKtcmS1TNgJaIw7NOJOjLWcAyOjY092YgtGwuBMYbYOhUmqHNkxDCfcuIp16i99Ue3ZqlrTXXSmTlPDGDPjh/d4173u32u206i+dkM3qPVSdotH/okhrs7fhtnCGtVAAMASIiNiZy4fq+/dXLymBNPRJ5/6/OfesUnP3W3Jz79KT//3Dv33pnEbQBeBkJ73GQviXou4ri2iQGJiDDgJGq1XW8Wytu2bE42Tv/zO94ObkMISfspz37BGfd+kE4m555z9qch3b1zVllIiXXrtuNv+c53/uH1rwG3XvSGN5540tZ9u3Yjc8nxx8WdiTmf6jB7bbgRHLCo53S5oGFqDoGUOIpbke3t3XfWWaf94H+vftmLng1l8MRZD/iZRz7lWVtOPXPv3Nzk9FSadQ0bsDn5tNO/Sl+86cYbHh5Hvbl9W6eSielJ+Pydf/TH4M4v/N7rzzv7lNu/+y10++1jpyJi7z1HVp0CIHDliF6xi7tLLBJhodWY3AoMTlxIQBIQoOycihpwpGRzMZEzRmI4ZsOGbJ7mJ554Mgg777jVRtzvuelkYnpqy5275/7xTX8A4cv/32tOO+W42b27gfzY00/TOGYlAbvQTjyMk2wYVm7BFyvjLub+igqREqvxCvG5E4g6qMB7qFMBsxOvTFBlo6EToIhs3XIchPfsvjNm48W3W5Obth1z2/e+99F3vu2j7/yb57/+T1snHsOpoJt1jt1m2lFfBRSmSDbOAl6TLug6vPdx0o6S1lzPP+CSn33opT8Hp+h0LrrwgrQ730liy02sdWksQntCErRarfn5+U6n0+v1pqens14GBXwKEqTdD/zzP378ox9jik8/42xMbti/a2d3396k3cpN/IRn/tx9HvZIANMnH7d182TWn5vfN4dMNm3ZohaZz+o+z+CFbsJ9CWxxIXNcIVdhlRBb+QAAiEgE9mnW6XQ2bNgAKSaSQ7Pt3/z6W6/8/T2374rjuJ9nTsQLkW3d7fyfgjU7v/fd+b13TkxM3Dkz/7Rn/+I9H/IIOHROOOn4bVtcf/62226Dx+TkNMpc60BDFfpdtezQg1nLcfdo5Kg1QZ0NiCfCz+C2kwSeRajViolxxjl3Q2ti765ds3tun5iY2DvbfdVrrzz5/HvA8NZzzjrntNM6Nrrt5h8BOOGUUz1gTQQQiS7M/28OSFdW6S8G+WoxV1hVCQyweDhhk0y4uAObiKF4oq0myRADyJkFGvoChZCiV77b+ffB5Mb53Tvz3pzLXJbrU3/uuec98MEgxMdu3TjVspLN79mPntuw7VgfRzkkjARuoPthzVjANOyjKiGw6KdzxsJT1OepBz/x8oc97RcE1MvzzBMzadFPUUUdTNOSoNE4gkjDMNksczZikLOJ+eA//5tm8gsvvOKxj31sv9//yle//uY/edv3fnidM8Zpe2LLMfN37IPvz3bzHMnE5JbHP//FT33xr4vzzmct2O98ezts5973u/feub223Q6dRpogdMcFUghGI68CNvCdKLKObt1+01c+/6Uz7navK1/3h2nW6/bSl7zsN93sDDnxuYuSttecEHmRbSeeiukNmN1D8/vTVoLWNhdvfNovv+IZv5KkaUq+b4373Bf/F9z66Yc+otWe6FHmvSdjgve5yMMazHRr2G5cJdSunanrJNm47Q/+6V9ziXq9jDS2k8e87h8+oCQz3VyzbOPmbZjcNLPztpbkaW/eTkzd6fDLr/lDgvc+J1HN0h9efzOiybPu9hNqLMGTk4iNusY1P2cdSvm/K+IOOSd0oNGScjlrI8h6IWYVcKRs96bpU553xaUveFk3x1y3bzl+2OMvffRTLk/zvO+8YRIiZiNgl0sGc+zJp+z60a69d+44ZuNZqY2cbV/2K68yL7PqU+3Pd6x+/tvXglrn3v2nMmUb2Vx8mXLYLBxQAC/3qLKVgRhDIp5gc+a+86RQdcyRkqgIs1X1YCZVX7a5bxYKB9DIagspH8YE7COlpESonXMqE0k7dQTbetc7//Fdf/MuxBEcw05cfMnDbHuiu3ff3e55n69+9Kovf/mLP/OM581lqZKZSefiyOR5NhnZudneV75xLSg549yzbWyMZeclxB2xKo04dLGwAynL4vU3YUodV0uxjMEw1PhRvQQTgIgwDBvT785PWBI1QHT9dTdf+tTLEDFUAHvi+fftdDrUamXqTBy5NPdk5j1fePElV1/1qW/+39fv9/DHp6pRlOzu9a135HPrenP7Zn70ox3YtO0+F160c2YunkriqBWMYFs2iVt+qTBixpZh3ZHYyqApBpFQmP44VhNYCcRkk77zaT+HChkjnr1Kv5eDnAIbpqf379558mnn3vy/19x4/Q0n/9RPOTISRXtyNVCjMJLD+W9eux1TG089++y+S8mwtbbf7cWtZGyXVsOB9rMy4Jd4w+GIA1JUw69GP1UVYKh4BdnWnCfJcwKzsU7Ee0rFK0DGqioRRCCewJFJps66+0/u+uGNN960fevpZwhFqTF9Ty7PYvItl0fO/+9Xv4HWxN1+6l65qoKMMdo88xfVmi625xdd7rGJ5IXTkCqfRuHNIBYFsVEQ2IgCxGASeHDB3xsqfavOOEwAeLhlNQ93q11pckK6uJDAsE1aWa7dnn/aM37uEU+/HBu2IpqEi7ecf59H/tKLLnrww/Z1+3nUfsTjnghjv/jlq++4c7eH9vuZtUmaOTJW1Hzvhzd0b7vjzAc+eOPWbWytE+/D9N0wknRBX6RlvprBjlVAF02nLZ5ZRNfhml+OwoTpQ6WgnvbJKHri6mBIW9GB1zCrauZ8Z2pT1+HEs+72lBe+5Ji73wPchhhMbf6Zy5/7tOc8r71ho1dxWWagXqXvVW3nfg96GDj+5re+45xT57M8Z2tMxEJQoq9+/RuY6V30sEeqtTaOJBT/MiuRh+qg/9pylciPfMgCjsFU3fSCBYd7s4h1xfU7SMq0UibB4NoFJJ4IFmpIWVXBqkbBBhSBzL657tTmYx9/6WWIW//4j//Cpk0UCVvP7ECwxiStL3z1Gsx073PJzyQTHVUtZgAwhYzgkWTg5cbo1Nv6APUAVV9p9uEkKsngXPAw+wEDh7/y1SfX5rkXn2+gxVhoIigFjh3cY8RFx1ooqUBBKlAJA+15NpMHPPRh4Og/PvxRpQjEXiEAEatQqz395a99a2bH7afc534nnHaaEliFZGQ45kph9CtIC8aiXFc+q5eNWMCypqPCgz3UOE/D0tBQg7dIBGakfo4UKxymCcdF2LBXiGrW70+325IKYrrwIY942M8+phUnttXZ282cSW6f63c6LaaOiL7+H9+TeuraScdGMnZeojjJ07635vSzz3v9v7zfRNHt+/bb2Djn69J2RRNSWOvCr9Z7sGbU1vngAlu5PA4l+zkMRaFOw0IUKbiiygiFEqlzQrYP/5P3u/jCBzwiieK5+X2tdnt/L3Vq5/o9YWMjm+e5jRP2fu/czNYTT33NX/8tbNJDZBxanWh2bkagDM48HvnoJ1z8wIdPTG3esXdva3pjz/XJh/4bAI2hMVzY6mUzUsJCtlhs94oRrbZXXIi55vkIssqJMLNh4tjcsXf/Saef/dtv/+upjRt3z86ridRAVI1hGN6xa+cDL3nYIx75mF6azWY5TGTY5HmeJImIP4yZ9odK/hIXNfh5SZ+HcujLUWikOuA85Vk4ontxkFw5ZCOWzpKy4NQQiTKp924+c5uPPf7Kv/+HXHTOq0SAIrSvh/j5NPuJe973kg9/ZF+3v3++S9aoF+Yw8yZ0hDiSizgEHEw6v1Wwkqch0S0j6nA5sBo/riGilULYCgKS4J2TohOWKkAsYJAMChTLd62sHsdGJThtOO505ubnWpHpizetqX15HgF5bw5ROxeJ2h1P6OeSxK15p3P9jKY6aT+LbUTw3X4WmSh1ImxmeunsnXva05tm57utpG1Ks29FrqVsvqzF8R1keHIt2zOEvohCf1qp5O5guSGgoKFr4ER06L2ZKhoK0hYTxQoAEtiMkubOwcSZZojsnjQ3mSdOuqn0PYy1rfbEzNx8YpJeN52YamXZfNKe7IlMdKb27p+lOPLAXDfrTG7o9nqW0G5Pz6fiONq1b2Zi05ZulhsQVZ7/FdtLQ1ka4dqrL9IRHV9YQymusJrgrqz/tTZTXrDCm79qLoC6+ltESZiIci8Qt+WYE/bNzThQb+8+jttE5L0nZvHSy31nehO3JvfOzJFhG7VC53MRT9b4zHO5JYL5T0QLr2ioYcUhXq/Wbmqhrw8+jYEwGZBJORwNQyQaSmQXjQCXe55Ka3XF158He0BRWeqqpX7MZnLjpn3zMxbExqbiwrFikPc+MjZzeRK3d+6dUWOJo4LVkCoV5RcrfAlcBtUHMSwQQFIPPykF5buygJXrRyX8YxIlDoxh7LmJRyuIDOBNmIq9mBd04BwrChhWVgcKjkHL5MV575Mk8d4xRR5KcayANwQyQmGwGpiMMPWcN0krc85a9nkGRmJj7z0Zy2h70vbUtIDiVqsYchDO+zj3lFSNiAqRPZSLIqWoVhyBP+Vg4seMoZ4MRARmRaub58yJp5KAyCjbXtq3ltVpK27n3b4xRjyIabaXmaSjzBasqmmaMjOIRIwTrzYxEc9nfWImIdKy3/7S67/MJ36ozGWRDczBK1/y3wO8cqVRtoEdvW0GJApLhmO7f36eyXJsERYKQXHwRETGEkUzc6mxMQCFihDgrbV5nocOoACwzM1PalhKnhMv+sfiTbUkjEVasdYF18rbj0Vy1vBXsUJEyBiAZnt9GyVOlYhsbMBGxAdFGSCO25l3xKRgYiIvxrKIqIKYVzoRmlQW9VNyje8FhAW3S3rGR4RBoaEvH6XrAACoeiZV8WSCcqpV0Wk9gRBA1R13Re8CKYPEe08MEDsVwyYQ4kAkCsviAVZWIlEi8goY4xUGmqf9JLYkSsqG1Dsx1ubeqyC82gOFm4tWxhk3bD8VmVbBzAzhrfAzFQU+wSBAEV8sKSpTUTRIRwXAelfDaxcnZyh4tuC9pMMkq4cnZSIiTnJ1zAXLJqZcBEFAiVhiJdLQNSW0WIKyioo3xjgVYgo9JkUBgYMgYlHHGGa1S2ynJTLUDuZ6R55Y3G9Z9AChRawuKfcFl2xfSQauyJUH6bBqEshA4ZcWX0wPKq00IQUzGSIAXtSDiOOiahVsiZ1zZIqSM3MQTR/rku5Qr3p47v3i93AxAoLuI7p0uftqyd9w3wd56ZV+HLryMTORcTpoZaPeGRuS+VlVRYlN4kUI5J2r3uWPTJk+GJSKigxaqylpLagug6YzhTesLEyriVsdMKbwiVx/fh3Li0oBCm5ZLQtCSINBLAtfuRokMaqmJR7qFLmyKAlHoCjoyEyeIIGtSGgoqz6yDC/ivHqBUNHolY1hOzTDalWKMeoeX1n8+epMMmoJVoOOKASAhVhoeYoCDnCISAtDRAi5qBMwWwWDIlHjpeyWX7JyhkI8AO8ktDf03huC9zlQjFllZsMWxoRMA64x3wPcgrA+R5QoVGS7VQoNacWOSINwElVRBTj4IqhMyamRweWGX73EFFowj2lQKh0KeYWCrhacQGFkJynUS7G2ygCUyYfkDvVsKEQoD776btmZbSjArT5coFJkdYac51LpIFH1IzQMTLpxyIBCHgU/f5E5EDJTDdgUHW2FICrOM4iZnYBMBMCy0XL09Sr0G6gnCGOJkBNQdqADAFhSCYGB+ivCR1ARgBxkZgmhUcN0jyIwCI6skq1iZIPg15A+e/Drf1iVnawi5ZY1UAnhCiawamA0DuIMg1RFnLAhsIKJlFQgatgKKRf9T0hUhWCKckMlM6g+WglI6cdcgNLpqkNWV5FZbuA4lClWCmz4eRCFwmEpDcMsK9Q+1e5IYVQrEYUvYubc+8S0nXMG6qFQUEgLALwKK0Vsfe7C+RavbCNSeO8ja5x4IgIRCMSknryIV7BhVSlKv0r7rk7bQl5xePlZ9SQjGQ6Bj+S4KROYQawwtaclTI0t6eHK8UOFH2KFQzALtk/oUxxCcSqOCKpCzCLeWqteoAQVY4yTnMkYptwXSyviDFklMHOe58xWFpzHRZULKck4ZH4bIp7Dn6qEOh9QIiWj4FLBl3AKqqhMbWOwhG2pI+HklYOg5gUpiABIYYxRiIgQGRBCG2kFmOFFSMlYUlFRMTDqPHHRgZLATrwxVkQWCbkvG+oFF9Vj2WpchUpfSmgAFsIyFlRloFQuOGGI1TxWVvFgA0DCOdLDSUVZxwHAAFREvGFlUpBGyBOESD4HJyoU0MJXcSghjCNorSBCRBKYC1jg4YtuTVBlOFZARQGFeoElE0wmA9LQGFdARAIFswLqJTLGe686CHmuxFmo5W3WssfLHrDlzwAThAwpw1PhMBKjLlaFEguIlCEASymvSB2RqeyDQ0RILRkRJ4XnKSTfEYGInKgBs08NAd6xOjZJoFlEWEVVWTxDrapAiYx4hZfIgJyQerJWhDzUErPAEoHIeUes8MphKhhAxdcOrVsdh3t3Bqwz8H3ScJmkqiyqTKpCpFZdSH8jiFUvCgKXbgau38ewaKwMeFnxyviRQlgJBBGRc86yAZOoiENibZb1iIhBhlRc1mLy6uHEAOpDdImM5l49lC0bqFu4fxYP2paux8Plt/Uc8nLXkbCC1Rt4hiM4A58gc8pG4QGjhTVf6UlajEYNruDVa9WySK2gl0FPQ41UVdkEIexzHxny4o2GiJghcgBICZqRkIANoE4iZpXDO78Hg5JDq4bYVVC1VQyxMpQli8LvGCRWWVGybFUEIcVMkUR2om0nOW8bSwSVwllBOLxOIod6jlday2ocPUkSzc/324zptpmwujHyEyKAyBAv04HwOFgKD2+r6YJfVeHJlIypSOcr6tsEqoaKIwplRTAWiBFmnQBCRLBgdVrUON/lLTiSNR98+BAT5+C2DW5wUpUoikRkdt/cti3HgrXFekyn5YzJUi9QZhAKw9OH2I3gsJdUQSMZWQP3XmUjFusZsrJzAKDwdVn10rIQvHIbSvCP1u6ISGnQEMQYlJ4wLdlBkIoHJvhI1n/RJQqMQ6waH4KjJEZVhYFsaydOEurn6r1TJWYWcSjS9BgonBAEf+CarmWBjtBPtc7lxR4OtrACXpNga6opwnoeYMABkDLPPNCs8OFeE2TB/l+281uoKwSqxHyZwU9EQfYnhtO53nQLifB0JBMsXjUEsAUQ1Du1U+m2CgK48KseKlWHcRG18vvy1ERaVkNVPhUp7BMLBciCVQGVQeVIqLdXP3RJh0PPMA58v4IyTURaTJ1RCyCOTK5+U6cFycVnKLYQk5McAImG0RTK3J7aYNqTiDtOWL0qwRcJoUxkSBQkUD7Yx8PDwX/+oT42jB4iFZEkSVyeubmZDZs25ZDMSxVx1FJnLlqOLNULYjnXJzweKPBWNbipawk8+FPxVxVDRIWdpyyqdPCezSOin0cuQ1RRpn0FPSaySZb3TzjhhB233Ezeb9269Y49+8AWUBPH3nuGkAbLVaQoWDp0qoBCl6LBPUWw58rdSAOGUrpwwyvJLbgRg2uSssC/CDlCQL6QyeWH1/JZKlvqoLOZjuh8jWwhCYIzpkhVlQRQA3VZPzFs4qjn2YlYNgC8V2YO1eKsXEpcGXaqrtR5HGUQJEWhGliKn4cwtMeostSHny9ey6xLC7DloF9IhqRD/etUKfRiFNk43dl76y1TW4/JveaiRMylTeakFLQVVcPXFdZkJflzpYYuAEkRiYEZhOdosMJmkDtd3hBFwaPK8EfJVY9YXiy1f8pzV2W8BK4T2yjvzyOfz2b23HrLTccddwyzVcAK2FLIrCxCHQbu93/3N19yxRWqoQnKYDPpYvrAOo4EUi4sKV70yy9++9vfijJMKaMHeLVRCFQA5X2X4T+NPCOLPT/yaYv+aUVRX0Oura3WLm2iPXnbD2+qX2P4qyl/Pmyal7qDB04rWur1I/dCyycPmGk9+o0HeS2Ht/cWXheVC6iAxWAiHAnm5+c/97nP/exjH+3LV0LBNOAzfMAtt3JYdD2HkwdG99VB/nyoOJKLXeobCXjg/R/4hS98gRmDlS9vE9Uuk2qbf1zrX8fCzVB/fuFpXeperDSqNaxvHgAxYJihOUHUC5gsAC/esDHEqiKh4abPkGeWLJFClCk0jDWlC1Rq/Hb98YgeDVhVnRNihkstJM/zEG01pZuCAaWgxWHpXbQM9GipgaL0/g0dRRKzwALgIs7HGP4rcyg4spBBM7ayEmN5qF3isdTQh2HAgKiSYagSiSOwqmdrmDkmx+rFae5SG0WqyoZJQwGWOPKMYA2ERORDpscoK4Xm3pW9u/Trw60vLT8EHTj4S8qbokOvCTerqCM3asuPEhT+Q64HGg9p/c2hrv8Co4FKpy0AggE8wYAEXpD3fX9esz6BvUpkuIgQEFUuXBrEkrm68NXYP8X9Ku4dhnl+WR4iwcc/WNhy43Et/FHEASqfFhbFMq1/jZ763tCw9YWcc9772MIQXD8lO+QPMazVOa3Wn0oPFgAFmxXlihWvqGgKZyfwn7oaVNmdpeitTEWmkRMxuHel//BQ1vNQ7lf9sSgkUSsEJprZu2/zpg1QDencIFYRy0BR90wQL2wpjmMRsWyIQMQCKTzQgwgwQ4NRv/54pI8qxGxspN57kPHCbBKFD/4LLkOEStBKkg3zgmqbLgM9QNl+Cxy+pe6OArBY7a5Q+eLyr0JSljKHaE74K0ITwmWjdtHHgBqdZbqTUYDAIp7ZkEG/l7XaMUSZDcCqBOYo7jiXRVEkUCDkRXP5aVwuwuHQE1ZJSta81OurE19baK5WvsoxrgRqlZTE1TsIVQxNqUwoJQy5T1d6/YfAod6XiELxFMgABGvUWNgEFBlmAwETRKEsomA/oLNakhAGX9FTObR/uLbnuc6MefD6Ydlc7napXoZCelXVDYuHAJaN/lFdAWAlJlYvwmA2CVvq9p33EDaRKYUXIHBA2Ru0OKdhC4XVD4m7K8wVCzHMA85DHLLSCuOv6p9KQzwHGPiYJRyH+qcd9movhQO+i2BApAiRLwDknExu2BgyOtkaCRwdZAGoKhOJeGMJQJZlVY1g0WAzFLRRXSspi7HWH4/wkQikvW43iqJqzUHwqgwQCAhNFUI2ethJdT1rme8IAxKqwxdsvqV6MzBCoK4+7LRQHpkqgqvnV3j/DBHAKGWVhKgMiMOgDqDVjgEwW1WIgJm9136/H8dWRMgwSINSQjBCMHXufCj0FOsJ5uEVDM9Xj8GXXL+A6v9lSIzrfyoVi4IkHn5fqFWtF+0wLf9uOeD6D1BoA6oKr1CCDzaWV/HeW2ucy8NkaJhQolFaYMpa1OUWRjwFAbay9A8eyzvGVJcJSiE5iMjoYKdJmTA0uPb6KpQJZUHLYoEUCll4v5IQjzwe+foLigQsgbCxBFJfcHUl2MjmPiciLte99LcM9Llq1zMxio6VK8kPh/ZwudhD96KicOgyUaO5XOiB5jTKuQ6NnkPht8X3K0CqnjhkoGvEJOI5MkFIqxAbMgYWhcOntJeJQBJKlUJTEVUJ6RshP3DgQFNZf1yWx/m52c5ES70nzQ3DOQ9Sy6yqoWWdipRdMcLGFKgWjwMsCz0ghSkZ92I1l1zlItaPeqGwlWk+PDi5IYuSUNSa+8G7VmY9lQAIlZk+JQlQUMgAFvFgw4TQol1JoVD1aZo651qdtnOZNTw41GCE4t1qsfWQ6Ed1sEacj/XnqdLWUf+W2iuHDr9ULyl76xUTLcscVimMYAUDvmAj9azaA6/h4GfSQ70LAWUlbI2NAjChDLPoh8aRYWN03747p6en07TX6rRFJCRCA+FSvA7KlivtbUXP4+IY3PyQvEqVgwQADbKOFUDV6lN0yFehAEgknFwqHqs9UAQa6o9HQH+RvUwANLjQlFTFC7OFoTTrWYO5ubmJyQRQUhFVqFBQIrT09Benu3CBlmdpldZfBixkIHeIgFBdUe4HpYJT6fArS24QXEL1nnSHSM+h8NtyujZAQmV6vBIAH1mr4oIT3xjjvDITV11CmNmLACAYlcGT5RajcvNV19DAR9S42Np4pKCgeun3+0Sk4pjL1qyiQQYjhDdIiHVhjK3EMq6hLNW1fKQzEQ3iLhg8o0OvL//x8ItXdA+E3T/0TFhnFIEZERFmFhEp8l7FWmZm7721Nk3T2jXJsMJxqPRjZDGpslrDBhj8tUbtiKgebYJWrX/4hEGIlxSkUv8uoJjaWf16iPQf1vovvGoFREWCcl9wKFGnqlFcpMoHnhM6RoV3LRYuXQUesgio/MdEDAp8plakW7cXhUqjZfiuDW0kqpalvPsLHw+b/gWLL1zOCxJx6l0rTkKcUUqELvDhLVx1rCs/Z8EuXfHzCxpwoXqf/IWsibS2w8t9XhyNcs1rr1+e/bDU65k5uMwHZ5YkECPqQmq0d6qqxoRhDKJhY4mG2fXB6DJFuUuhQ7AOwncrjQNfdtDIhvrZeu+LFhFgBO1Ufan7CMEIlMhA/IHKeMYGmpiYEnHE1tj4w//2kcc97nFcsyHD/Nag7pWJEQjW6pBVtEzQ4Xs8OMNkRATMqhARYw15DUwzPDIzgaCq8MGLEkIbVOmehRnH9du3BOp74JCuUerNU6n29lG1oFjMoO2QCHbtumPTpk1BV4htUurLPPLeI4cO/bQgVl1c+7CvGgCEYUKpQvCAEpEIAVTWzgqXc69RGASl+7RU5LV2UQfAkV3vQjWiUuKBsJ8DbwSg/IUvfOkJT3gCwEncDhcICskRtOBzhj5thVDwjVHBCVXPbEVVBMYwarINbEAQIUOs6gkQVSIK/vNF1FnllTu/BbVD4qqQQExhsr1xznU6k5/+9Gcf/OAHE4ooqRauBkJgsMGBUtyEevR6Zde/ugQAIXONyp0cxgdV9IQGL8U0KS07hqow84C91JO5FjlZB4fC43VQ71UNy1SuWPWHsN+JFWC2AIdh3Dz8Zh35oZkQkXJGGHmv1lqF19pw8bq9HpxaYecZE42P6sUhIr1ej8h0OpNRFL385S+vWwAAFtx1Lp9ZoZMw0NMrWw1VNoBCVW2YxxBsr5D7qaSqwZrk0CO3hIiQemINwgMru7sWrtVdILTndc798Ic/VFVr7fz8vDFRbZ1XDnfx+VoTQwRAPTOXmZAclB5UTaOKvmOkqiHcO8ouD076rjy4/u9P/uRPUHTHZREJ84Iaxn8C9zeVe9z5qodY6VDxIDZSztI1XCiaRLTq53cphPFlyszWxkmSvP7KPyrXuRBvRCaQdzj9lpYXylCmkqMHbdh7r+qrqwjcpnr03lf6/ciHVXzscC/rEO5X4Ucoqt1Jtfi3FD+xB+iPvzod8xcgWKgL7eBSpygRvFUMclnOBmnetwZEJnV9ZhaojeOipY4yEYmoqhtMBGsGmLnVagEQkXa7PTs7G54cflV9TVb6pgzWh0LFUChCQMieN8wkAqhCg0GsbKwKRJx6JQOIqEjmcmOiMEHRQ+G9McZ5z2wPYl8dyfUe2v0tuSRCOxQRmZqaGgRyxoAa/YUXxwAgFEqnMeSrzpTMImqsdXk+6PWvmmfeWMtUOa1M7UCt9HXVP/+uTG0q7K3qh/qvYwHVHkOEtgiJaqCPVNVaI2HwVNje3hPYebHB0UPknGMTofC1VHdhdSTuUvwz5ElyOMUA+mk3SaJKLW4ICBLM9fIJARAaoJlC6HoQ7d07MzU15bwyM5SsjZ1z3mXErMq+bHse8pgrDxxhxbf/wsUMUr9MKhwNq/BSbzvIT19l1A9nMLlUvZe81+taZlUfdFJjDNvYeyUyJXsNzMse6NPHgVATFrZL0w7DCIwpW+YAZRKrU9U0TXPxvTSPoliFVFyep0kUE4Urs6ELlZdidFLD7JuhWxDQxLtQxCBKNwODxKt6Zp6ZnTHGuCLCQiISRdGCdV4Fg/6I4L0vT/QYtZ9RKAprBsDA6lIhFSYVcfPz85GxzjkRmZ2dJRNiAaNLPV6tIiAsL3MR4W3eQQSAEM8NP5dGOSj8HOJFzGmabtq0QdUbYwQqUB8mM4RBGSLGGA/1UFk0i6BJKE71omxx4ZOreMd4wb8BAZV7E6KGKLFRUP+jKAIkihLnhNl4YSfMZA3DMIHIr/A05sNA5XOr+/+XWOfV5KG0UFfUImVJQRJG3RHEkFrLRBQlsZfCNZTEkYpYNt4BxGpiNZETNSYKSlLxgXexnVbkehfGWcLmCdrPQcSnVxrVsg/brEQEAwgzDBW6mjqf53m73QYQQl9BAPuhjoqDW7kqrsXRM1vHUvxEy2l9oRhpjLeAIPW8wjohzjkiJQq1zAidzjvtZG5ujpmNMdNTG6TUMoc/lYNbcnUuIXzjQv7JzKUFXOZ+No4dhjoMChlMhVgSCWqZcwI2YJPEttedUxHnHDMLOHMCJlPMHDciIBiCqSk9q6T9LOJIHiSiLvL6ogxp5G1L+aUbwJ6AkteEHB9AAIVI3G7vvH3nVVf9577d+571cz/f2RDBsIiEWaneO7YGxWihBiHsrXA26i64JqzzCEJCVfjZWhbnCUoR5vbN/suH/u1pT7006rRFxMYRFDtu/tHHr/rUho1bH/bIR05snIIg5mjEuBmLTVDf2/VFrgQYxh+DXLhLSYLGE2LqREzqnLOt1r49+z//P/9968233O+iC3/qXvfqZ1kUxWGwEobyVsZugC1CRN3zXBmOi1qQ40LoywWAAGttsIBVFSSEcC/4P//zU/e94MLjTjwhy3JrraoYY5qm6tdNl0rdHDdRd4FijlZwm4GNISeeFNbG83v3fuQjHxPVix/80JNOPc1a63JHzMxFLnJ5bUUi8qrRfKisw1ZsaETo1h/rGONtq+jUaqIcCB7iXavT+frXvvawn3nU3j37WnH06y9/xfabd23ZsrmVMKsKPFsq3C+reDMOBnWOX9eEmnE8RvcAFanMJOKD7f6tr13zxKc+feee+cc87okTnVYSsWT5f33qk09+ylOVTa+bmzi59c49k5OJc0Wv+8AEgJBvP/6gRvihkr5jJwkAQIPAbagCtqZGoQJkk+T6H/zgvvd/0Oz8nMsFwDe+9c3zf+Lu4p0qASFFa6h0oRmXNkBFT3AblkHu8WZp1HIgaMgCFnUhpFWYuSJEdL/73e/r3/j21f/71eNPOtFayxxGz6FsxD/KXceFioCwvESk6pkLp0jFhUZ+GAOdJblAFXc3xME7pZZAhr/5jW9dcsklM7P7RFXUfPPb15559llxbOG8hxpmX7S1KOodUAsBjxFapqaidjsGGdu6AIs+OUbU6Ry5MJ/nz33uc3/v935fRHv97u/93qsf8YhHeoF6lO4LV9nNjUIowgunOjzTjGUPiSeVG0i9995751zmclFxoiryX5/85JVXXvm+9/2rc97lomUM71d+9df+/d8/Ojc/73162TMvvfzyy52DMeS8VtmYWl7p2K+3LAUeEFPdi3Ggtuqo/dMiuwckKh7eAXjEwx/5hje8odvtirhdu+84+9xzvBSdZqV03JUf1FCgTH2oJ7WOmygdCN7igDoveVjPNE1V1Tu98cabHvSgi9/97n88++yzvR94/ZUgC4YqjfuCBpBSCa6eqTPVkR9WH6H5gQi8CuDDmQwkZVkG71Tksssue/krX5E755y8/e1//fjHPzFzxezyoot+YTT78loacQsWXd6h2OrCTXOwwn2cICZ76y07vvOd7/7Mox4tKt3ZfU976hN/eN11MzNz3jtirxr6r6mu9DTRQ0dd5WzGgkvh1R/2ghJRmqZsjTWRVwVz5t0lD33YP7/3vccffwLAzknEBqrXfOP/du2+84L7PyDPMmh+6dOfeM1Xrxb1DiG8piOXOfarbpSbp77yZdwoyKQy7qvF3N9PfuxjWZY95znPscZ6j82bN3mngkLLriIa5WcGHLjIfjwYiUqMdz8U0ToKBXehnBfqhUEMmpmZMSZSYrbR8Sec9MUvXX3uuefu37/fOQeAuXT488CtMvhkOuwymEPCItkbIwisf+xG+aJQ+CLBU7Xuven1esFHsn///htuuOH+97+/iuR5/tjHPu7G62+8/fbdQvCEkJQe3lIbfFrdh8bt/6bEWg4edZ1CRAAD8M0335wk7W3bjs3zvNNpbd68ycbxLbfcUtZmeGpk/u3aQhy3VCgXQdjlRGwMiBIbOQHbiFgBueaaa4495vgobhkbQ/Tu553b7871+32v8IVLtYknv9ko7EIKhTGqIPr617/+kIsf/ImPffz0088899zzPvvZ/06SCMqGo+FOXkMfso5DR7Fu3vsNUxu9995pd77fanWcc0Q0NTXV7/eNQbebohmBlTUMIoSCCyhUQaQqRJQkCREpm6mpqdNOO+39//o+KMdRfMMPb4xbrbnufO6FiHzZgIyBYenWUM7fuLKcg4SqFu1vSXLv8jwnIniJbCI+j+PEpWkSxc45a8OrlLgIno2b9rUHJYiHtfazn/vvb1/7XSKanOxc+pQnuzxX15vvzllrQ/6zz3PnnLU2z33o6BvHcZ72fe6I4IvkIF2Lmt9qQVAOHhjqykQAiJmcd4aMihORD334A/t6vUc8/OGi9IQnPOHD//bvD3nIg1zqrLW1T8P6ah8hgof8+9///hf+52qvEiftyy67rNfPDEPgXZYnSeI9olZCVNTMDOv6q3kXGippDhKqpCpMFKrYRYSJPvOZz3z32u8bYyanNjzzGU//+3e/6xef8wuxtQJ7n/te6L23ltmwkjDRSKy34cuxJgVwPVNJRE1stmzZlqap915EDNvbb98dx9HEZCeKIhUlEqA5Pt61hMppFnwJ73vf+971rnf1svSkk0541qVPNypkEmutqidSJxLF0SknnjAzMxNc1hNte/OtO9pxe6LVIkIU2XK42ToOBlVjcxYJkV1AmRgKnpubu/jiiz/4wQ+SsSDePzf7t3/7txdeeL9OHBkuYmdjJv+oQPDnM9E111zzkpe8BEwTkxsf85jHbd68MbIM9VmWiUhI3HaqMdOayDFuJqpMHSIqUpSY3v/+9//tO95FRCeedMoznvn0e9/73tdccw3AZJKdu3afee55rVYLClGxzOQh3pPhkT6azfQArT3VuMoiC1EuMkiz7PiTTsxyf9tttxrDIrTr9t2RxUnHbfPeGxMZE9XrfNZxkKgPtAnqy1v/4s/m52fzPP3RDTdqyG7zTgBxmcvS0BDuggsuuOXWmwHhKHaevvb1b51zt/OsteQguafGd4QYNxbvXBg2MJiYWZWJ7cUXX7x9+3ZSr6rMyPL82BOOi9sxEXnvi/zPodVeX/mDQBl4r3dBD6k9z37Oc3Ln8jzfu/eO447bao3x3rMxoYdamuYh2U1kkOIE0fJGrOOg4H0OgGAUXCY90Fvf9va01+/3+tuv+74hsDFC8KrG4j/+4z8uvvjik088DqHxgPfEaqKiD2g1Pztg7B02F2JtW8Dh506n0+l0XvSiF/3c5Ze/4x3v6PV6v/ALz33bX7yl0zJapiMyW5Tq1XiIXsNgDMYHgRmkKlBmnt2/77rt37tz74zP0u9f+507b99473uef8LJpzzucY99+tOf/v9e8+odO3a+9OW/+YEPfCCyoaPN4gKgsSkhjYKIEDPYhj6gF110Ua/X/cu//MsHPPinv/ilq6+++ur/95pXh91tw+Czdc5/WFisZ0KYggdRgULB3nuXp9+79jvqPDN/9atfVTY/+ZM/mSRWnCxaxlxOC17HgWA4AgAO7puisU9RKe49GwB4x9/+7YknnLxp06arr/7Ky37jVd++9ruioU+ZNyCICoRNpMVMxmJspBI30AhekwK4Didq2Cj8G9/4xre+9S8vvPBCEfnEJz72yEc+QiQ3xoKo6gUqskoTndYyGCiGyZa1eACYidQLm8FwIWZz9dVXP+oxjw8jph/zMw9vTU5s375926aNf/eud7/hT954//vd77Qzz77qqqse+MCL+v00jmNTJlaMfOW69B0FCYohg1T2khVmeJUw6wLQDVu2fOUrX3nmzz37V1726xfc76KrPvGx887/CSao6Px8t9NO6h9X+3ldAT0QygmDYZ8TUMwlri+beG+N2blj133vez9LcIqXvPjFIP7q175x/k/+RGxYy9z10Edida9gbUNrM7wZBFFmDj3IjC2mgd3zp+59ySWXdOfnnv+CF37zW98488xTMlVxuYksgSCe2QpUAAWbsnwV4SMbhjUvgInIeZdl/YnO5Mte9msvf/mvq0LEA1D4ft+12m0U0WIwY90APkSUXZlUqbKAicTnpHj4Ix8l6otijdDwGSDvW532la/7wz983R8KIIosy9tJJOLZsHgZiQXUW5GsYymE5DUiEhXDDGWQbDvuuM/+938riIgcMN/rJUmS5Wmr1VoXtCuBUIptbeRcfsqpp4rmUAUZBUvhKRp9/ZgoXbsgKjutgkhFoCEBpSrq1ftccN+Z2dmgpHqFEAzURFZEIiaAtdz8PEi6bVwPxIADaQRrYveEQd+xTfr9fvBXzM/PGWPy3EM5SRKUt60ozm42GrLmBKWiILVcMQ5jXVRVScHMMAyifr8v4rz3aZpmaVrMIQ99RUTUK4nGliFqiEmFOfShVSrdfM0pD6t3xRovJQoOZaNKg7ugSqQwxKoqKgLiOFEpZrGRymQrsdAkigF4KWZ5l2nnw3ezYajHIMa9+MWERyWEFSv7Ehc5QdZa750xxjnxXtPMOefm5+YIKl5D58rQaZmoGhVfRN+Xd7D0oULLTkzNOXGLoVajXNZho5jQUTSDS9MeSGZnZ73kKs4A5B1E8jQTJa8EMqESiUkJxUhAjHX9q1YzI40f7MiLhirH10Jkrhg7VeZYEVGY7metrfp+NXi3Fago1JF2m43BSFkFlQ1y4zgO+YpxHCP0e2OKomLuMlc1NAQM9bhf7R6tC1ElW1ZpfeEZY0yTcwWqHQIqDi9pTW8jKqrzSjT2QgKqxa9aQDeZ7HqTk/AYx0xErRYYCsPee1VuIOeslrToJc7FGJ5x03WwCPQXja4iK9C4lZBheBA0MhYAxTERUdm0dbzqzghCs9XqLlSd54ecgQvvR/PvULXXg/kbVNT67PcRlWJshC6NEY7TWO6zKJhtlaZbybAluA9X07dWPyO3rtlUP9f1My0bETfbPlgEI6tdiV40dcPXUd/21ePCVo5jR91Ar5MaJh1ZG1cjC2l4tGVDoLUh9oNhNs2js47SCTQ0Uhcl/WHmZsX8iahW/t44VIsfUDGZg5qY3XzU2esBivCaeTmVHbZWmGZA2EPVrgraT/Wn8dG1OOqen7quUP216kLczE2yFBq41IcBGu4F3XDBUGFkw9ebuo+VrsVRt73CD1XXxrWCuq5cx0gj8QYe4foOCcynUB0WXsywftdQobUo6u7EcdNysKhLgvpNGjddd4FFnSX1INNYqDow6usczmptMowGB1EDba+ApRZ8LMQsL8Kyh/Vv8i0IqPP3RblNYw+vluOiw69hzcdL0sGjPLkEMCkzipPb2NVeiBAnrfsItRrGUIeWqE8mWW1iDwV1PbRyYekSGCuli0BrYxi0AQPJDxIjkQutBVNxQB40xjNT9LIofyaiYAFU+1xErLXN1KAXklT3mqx1hHtR+bEaLoPrqGt1dcumgahz/xBxDzMk1gSq3V7X8quuk9XzTV7/ugCqrmJJV09jJdZC1NmQ1iI0C9FA11YgOIyQQ9nhq/HLzgAvusLhz4v+qXzBePoxVTplxdzzPJ+fn69e4JxzzjV+5Y9CaJHamgIohnY3lYdiQYrGQlKbzDaJyBiTZVnINJybmxs3RYeGOp9nmKqzychdaOb679mzJ9DZ6/UGYfj6KyopVbmDFvLWBoJqGd7FVTVP0C6FQHye52HZ6w6KdSwjKv0muN2C/21iYiLLsiK1smRJIpJl2ZjJPTKMuEmbv53yPA/jbowxa8j8raPaYM3kP1TLcsjzPIjhjRs3jpuug0Vl9Vb2CS0WCKg/Ngoisnnz5vDzxMQEykNqq0uqTLG6R2UNHYa61rOGkgvCOrdarfn5eVVtt9toZBbo0lhDpA6gqt57732VSxkQBEAcx2toCy2KBtJPC1L9u91u4JXW2n6/j5LPVg6hNYoGLn6dz7fb7W63u3HjRi2TTsZN3V2j2jlhbZtp4x4Adb9Iv9+vVGRbnQoqU1FU9X3ve9911103Tnp/nFDxmi996UvXX3/9i1/84vHSc9SDhusgw2F4wxvecOqpp0ZRFBx0a4IrrVEEzZ6I8jxX1Ze85CVRFAX//5rIQFyLCDnPgcnneX7TTTft3bv3JS95Sb07xDpWDnWnSOidUBi9IxELEdm4cePrX//6dTGwaqjEwEtf+tK3vOUtaGom/dGBEf9VWOokSUJgpmoHsY4VQn1ve+8//elPP/zhD6dmp88cBRhZ3osuuujLX/7y+pqvJqr8hptuuumUU04JjMjWU1hDYCy0FVxzNv5RgOCFrsc51rG8qMtdlH451Bx04XFdDK8EtJbwX7mg5+bmKoO4CnutS4WVQH1h686GdVazCqhv/lBqEbgNVzyoqiKvIsHrN2Y1UQ+PNTCGdHRgZEvTcBF29fMaqo9cc6CyWw7KVLiQml7PoFznPMuOKhePiEL1UdU6cNyk/Vigzl4CqpyyIZU/3KSqQcG4yP3xAZWFy/XVXhcAy45Fy0VGAmCV1bvOlVYC1fJWKW8hMBny/7HWmrCuLdSbOoRW7Uu5edZE2vyaQ3At10vsCgEcbkmVdUJlK7WFEnsdKwFdkFK/rpauBEZ0z3pxXV37CYu/zoCWHdX61/lM6Hziva9S3iqRPDZCj1LUxWrdAl74ysay/TphjSVyKXjvg5aptQ5XKIZk1eqrKo90Ywuqjno0vBHBUYCR01tt+GpQzHoIYNlRX97qyaoCuwpGalmIMTZCj15UmmW1wmuIz6h6QJQgGBLD46Xq4BG4ejgCdQfn4DBUt2cNXVUAESnIC8J4O4IQRNUP/q6F9qfUuNoSrZVfT09PP/7xj18TjriBh6Q4EiQSOrWSQAXhiaGKPa/itYnGvao6577whS+EX/v9fmNCALJomXU9lUbVq/piaIxSmBlc/QMIg4nkQmMt2q5v7LDtnXMvfelLA1dyzq0J52edSRIRRCGD7A0igvrBrOvqVpQelnGQDNSSgMJqT09Pv/CFL6z8bU1adhoRQ0ogUiYVdU6dVxWoCLQYeR129eInpTkomOWCGTBr3tVTqhVgJtXytpUTb8JrVIPjS2isA2gXBdXaeDHz9773vQaKqAOg8t8aEw7zUMGD1nL/DBvDDRFsowhXERpghXGW46ZoFJX6HGSVDjffRrHUaBAjPQgQ0fXXX8/MWZZVhRjNzIKuBymqX4s7UksdKNhr845wlW9LRL1eL47j7du3V72gG8VzShY+2m3eGAZEqbgB4yJvebHmBXBIJRAVkBIpkQJGPUSqowLiUm9Fg/ZZHYH1WGtnZmbGTcuhoQxVqKpay4AYDg01icmWdwRAEf0YJ62LoVIX7rzzziRJ0jSlsi9xAzDom135ZsM+AQCFegGY2RIIygooMPBEkADhuYaibhNXRdjNzIKud2uvyB4hNfgh2JjGUV/SH6iN4xhAr9cLG6mB6k4d9ewBA0Kl37NRqvb3eDrMHznWJNF1BNHFxIColgNVyrHYxZ5TDVKggQebag3IAISOuOMm6nBQWY1ePBMTkRSzDwbJlg0Mb1f0TE1NiUi73U7TtNVqjZeqRVG5PSsbkcu+1iKoQqvNFGALUSVCVyVJlVk5btIWQTihdZ9t4VRkrtRKLUfmLbH+47yuiv7KwRtWvpG5PgsmbxKImUGGOSZDqsrEhkBmrYuwtU19ABGJOhEH8gSBFkFIryLiasFgcPNc0KoaAsDBtZim6RrLghYP8QQxDEBU1bDxXr0OhuyqepGGDhqqQjJxHDvn5ubmOp1Ot9sdN12jqLPIIGK9z1REB71EAECKeKQstHwVrM0773W5Sw3uwlFlrtZr1YgIpdD1AqZqTkARaqHin5LWovHjQLCARcQ5F9wMIS934DZvin1S0VDoK8GFpiKqQO5JCjUoF3ioQNe0FFvDpFdQ9d7nhkP6AwEABbOgzC84iDm14wIRWWvDkaDatMtx03WwKAfr5iD13gfuRET9fl/AXhFUiioJsBmHfIDKXnTOWWs7nY6IhHEljUI9mh7W01ibZj2AVUGELMtVQayqa6CMp2L6YbeHUVRNTs2tqMrzPM/zEEndv38/iMhwyKVRBbRorFbPtWkCqkrr6iSG0tN6ukb14gZQLkMLKNrv90mUQCBlkDXMDGKCrg1/z1Jo+kFdABn5p6r9fj+20dzc3B137LrssmdumN4yO5syMTODSaCiEjJ1VRt3tqseQEHFDl3Kxk3UIUA9oCoiX/7SFx/32EczWybzB3/wh3Hc8t4755JWiw1EJCQzjpveUdRb0AQht1R95NgRSFVVBkHUO5ckyYc+9KHJyan3vvf9SRL50nrw3qN5Cf8BIz7PMr9mMP+0SaOQajnkpFrq95GxeZrNz81c+Yd/QExE9KQnPeWOO+6Y6/Uqwsss9IEnYrzR+MBhKjWuntNXR3jxGNe/XLdasb7Ce9/udPr9/mVPe1piYma2xkQ2/sF11zUshfuQYRdSX78Zzbu2hf2M0G63c5ddf/32xz/uMb/z26+56uOfNxw5JyYGEys8QYNTqIE9fosYdjmDec11ISDDgDfGvPe9773yyis/8tGP33DDzWefc97TnnHpWWedYdnkLouMNYYgWtUYNGdfLXTt0nCtanNQxH2ZIQoiY8yjHvnoCy686MILL2y1Wt6DDYkqUTB3BKRj9XouiTqjr+RB9UwVrRwfgSOg4A4Nu8JaS8R5nn/rW9+6173u1ev1vPcXXvSA3/3d333bX71dCKRaZTro0Aaj2uMYUEV/q7yT+vNNWvCKmIJg730UmVar1UqSZ1369Le+650aJV4pjgzJWkqIXqjrLGJvNdB/UsPAc4Uyr9b7PE5MnufXXHPNzT+6TVXbbRaFqnfig24t4ohMY6+r0k/RCP/P4qhrzapaxmYIpJK7P/3TP1WF83LWmWc86UlP/v73fnD22WeqDGWvMBvfpCDfiNut7uZtICraiBUqc/tnXvnKVz7koQ99xMMf1ev1YFCU4RG8CkGqCGVjMbLmTfCClsQE/0GlhykRiTqGUfGZ01Y7vuSSn2Zm57XVmvjlX/7lz33uv/PcW8uWSaWstxjaTpVQHifqScVoHrcpsmWhRORVGMTMSRxnmTMqeZ5Pb9jQbrczsCq8gEW4VCCq7TTma1gM1TqPiNcmavoHxoirpGrgdZ/73Gd6epqZoyjqdj0znHNVq3esz/g7MtT1noUTO4Jx8MMf/vAH3//+n//5X27fvv0Rj3hE+XcqJbcpU4TWccigWo/Y8MzExMSDf/pBBHiVJElCsTsRhSxcIkLzHP7Nx2ICSQB4yavdHNpnArjtttu2b99+1VVX/f7vv+53f/d349ioqkrVdqNx4m0NoMai63GKKk70jr97N5PZtm3be97zHhHJvKvrcHXpsCZgx03AoWKUpxBV051EBKxkrWUDETBZ79UYG1rVrK0b0zQMdyqVPM9CNSGYoQBJ1ksffslDf3TrToV95mXPimOripmZ/VPTExoktEL9+l04TGiZnaeqKp6YyZDPneFBCxRjWMR7EUAYhqCN9EA3HEOx88BYAIgKEZEJ7X4YZIjkpS/9tX9934eJ6Myzztu0dcuQtKURG3odBwUtN62IAEzMKj5N06TVUs9/8LrX/cHrXtdV/+3vb3/a0555wnEnPORBDxhJ7FlbSs+a3x+hL4Gq+lxacTtN0/0z+5LIOOfLBF0fOFczM2vWCir1v1rGc845h8gQmYsffDEZE8fxjTffLOL27d23d+/eV7zit6zFpk0bqteL92waF21aWxiaG+GcMQbQPM+TJAHQ7ffBRbLr+hIfHhZdOVFHhL/4iz9nMsZYY8zOnTudc+9973tVvYhcdtllD33oQ9M0D70Fee13GBwXqvVnZqKiUrnVivv9TAgnnHTiKWefdeaZZz7hCU/4h/e85x3veEcURVX1F9aa9MVRIICZ1DvHIGsjn3tr404SEyGKDIB+llkThzbFjWnwuyahwyPrrbXfu/Za8Xme55/73OfyNFXVvN8H0cRk+8or//Atb36TKHq9NIoiqqZ9rOtAR4CB/59ZRdiYfr+vqkkr2rdvj/cuyF1rLZEhGIKpckoBNL9fbhOgShVXrPszmfn5z39+rzfrXO6cC9EuEdm3d6+qvvrVv3PjjTfesXt3eLmXovfA2PtvHwUIvs0oivppSpbS3hwzGyKXZjN794UFDz3I1pz/GUeBAAbAzHmeszEmijqdTrvdZgtm5LlvtdpOpYpZjpvSNYyBEFVlZudct9sN+mae5/vnZt/73veGXy3zG9/4xuf/0i8RoZo2raoYznddxyGhypAnIhUhZqhOTHaIOcuyk046KYpsO0l6/b5zrurxu44jQOCNBIS2J94YE7qFi8jk1NRVV111yy23bNy0iYj+5m/eefzxxx9zzDFB2zFsCOsj1Q8HVTpe8JwxM4n2eqmq5nn+31/4n2SiY6zdsWPHa1/72iuuuML7IuGtSo9YW2u+9gTwSCZzWO44jt/6F38RmfjuP3H+jp07mM2mTVtRNAbiKIpU1bChNeafaBCqtPPAjKy1k1NTIhJ+3rBhw1+/428nJ6eZDBvavv0Hf/zHbxQBzGC0n0LZrjshDhNa6x0Y0pvTNDUcMdPnP//5hz30oZGxH/34x9utVmQjDHxx4+2/tHYxaC4GAMpEFMfx1PR0kcPqcf3119/jHvdgMsz8W7/1W//0T/8U3kJUWMAjkiBYaes4MKqaqEEpoDHtdhvBCfHLL2TTNjY65ZRT7n3Pez384Y8YeSPWmhd6jSVhLVxcEWFjet3+z//8cx77s49nZpeLMqWZM8Y45+I4cuIb2IRyjSIcDOccAcQ2tqyquXOf/OQnd+/enec+ilut9kS73RKoMaReqs58a+tsNA2VC5oJAJJW5xvf+PqGjZvzPLdR0k37J554onjpu6wVJ9rApjNrE8xMZInVOWeZVYiZALzkJVdcfvnPzc11ndfjjj/RxJH3ahgqsGzW1//wUIvmkqqEXU9ExvDk5PQ3/u9bM/v2Z7lMbdg4Nb1xbq4/NdEKdkGV6LO2LOA1JoAXKdMk471aExuOTj711DAEiZnZGuc9M6uCy26U6+z/sDFcxwYiIzoomkxakaps2rJJRNkk1kQiakCAhyEUNakhwDbo/74ujw8elfeeiEAs4lTl/PPP76d5kiT9fp8MW2uNIVAcnNUCHeZFa8/dNUZUdaUAAFYRa2JVAquoiveAbNi4eXrDJoCJSEmNYWgoSw3cZmjB191vh4Ki6AiACESJmZjZ+HjrtuOIjIgYwmQnIQgEHNgL1l6Ea40J4EUR+poyc577UKUHJlDwY9Q63q2XAq8YiIjZkGHyClCo91X40B4XUIDX1/1IMNIFJdhXIhLHMTOH8U1E1Ov2kiRZi8GwhoPIeO+ZqSqssDYREVUBPGAIVE0cX9cslwtUdn8r+xSxMREA51yeZQDY2ir3ai0u+9GgFIfV94W9q4KQ9QMAJMpr76asAdQTDkPGhPcifjCZpB6qJ2LCaBuytXhaxotK+iL01ieTZi5Ms68Ws9VqhRz1sVJ6NGBkf1bljnmeh66xIdONyol46/t5JVCtahhXU1WyGGOMMdU+H+EtawhrXgATkTEmZPowcxTZeou1es+sMRJ5lGFkVUPRC8o1D4OdwoEJL1ujTWqahpFJtMaYVqsV2r31+30Ug4Gl6tO0jmVEmN8XHGyBwwS2U80xW9/by46F+nowhavpalXK9NhIPGKsPU15ZKMH15yNI1UlgorEsQ0uupCRCCgpQRd57zqWBcH/rMocxAMRNDTIIgbXk1GoqeMB1gQqP1vFeirW3+l0qiIxlLPn1nHkqLt5qq7m1UQ/axcZZrOO5UJd0a/KIMMzQQdt5tCUQ8Kav4AqrBv6PAwSVdbF7UqiUvnr0Rciquo3ypYbvNAUXsfhISxjJQNCPRhqEy3XaCLomgAt6PVf3YXxEvZjgnoZ5Bot+V0Ua88CXgoiQkyiWmQbFtbYmKk66lHPCSpEsgZLt0g6FwnPl0rSOsM6XATPZz07t5qpXtln46bxaEbd/6+1kbrjpuvox0JxW7WmHx9Ry4OjRwCPWL2D1Lj14qOVxIhZsDDPvLLbsG4BHxnqKxl+rqRv9Zp1I3jlUBlhlR65vsirg4XrfNRwEku1QU7VVYWqnrEStjwggEBNDjtW59mUWHOnuk7wUsQ39qIqwqy1IXQaUjzGStSBMGIHYLG1bTL9lYqmqlX1VD28jcXUuOZgrYe3AuUVh2/yVjmaQLVGvJX7hJmp8mtV2vTGjRudc1EUjZvmHyMQUZIks7Oz/X5/enp6Dep34Rivgb7z9UqekFcsInmeT01NZVlmjEmSpNvtjpvMUTRZJh0k6rZj0DhFZH5+fnp6OjAcX5sgPW5ij0LUFzZs9ZDRPVJSiPUmOSuAitvMzMzceuutxx57bHjGopS+qBXUXnLJJRdccMHIPain26xjuRBSOUQky7L//M//fMITnpDn+XqsdNlRcZbKwA3t9UMvize+8Y0veclLiqke64u/Aqg7xiuGk2XZ9u3b73GPe4Sm4lRiff2XHRX3Ds3b3/GOdzzvec/r9XrtdlvLyQcHCCSt4wihqnEcq+qrX/1qlPJ4YAFrrdX7xMTEa1/72pe97GVVXmX9U9ZvzLKjKit89rOf/Xd/93dYX+cVwIgLaCRzuN1uz8/PZ1kWzN/Jycl1GbBCqNtY8/Pzn/70px/3uMeh5toNxbVjpvJoROgYCMB7f/HFF3/xi1+sDsIIn8e6obUCmJubm5qaYubrr7/+lFNOKQqrqvqqSj89QH3VulRYdgQLOE1TVW2321WZ+bjpOjwceOLsOCfzVDmTVc+WPM+JKAyYC3chzJsLwnhcdB4JFrLRRqEir+L43vssy8Joy+CgC67pJl/FAkjtX6MRrC7vfa/XCwPiUHZ3wXCFz7r0XXZkWTY5ORlWO7SPRajRHJG+AEJ/r0XVonWsBFS10+nMzc2FrkZBBo+bqKMQVJbroPQIAQh5QKHLoLU2RCI7nc6YaT0ILOSVDWeddXtLi/alPjCjiYmJas9XHtF1LCPC3ggtRCYnJ2dnZ0M80lq7JtT9RTf2yJO6AKtF3V0j5FRV8jSYAapqK49QFaQJAqBR1I9gpO5iwZODeAYpA40ewxmiMmH9W61Wv98P7XzHTdfBoiS1zjHrFRrh+Qad8LoMQEl/1cqxypUYu+q56B4YitIpq6qSjLygOtGrQOShouIzAIwxcRxnWcbM/X6fuZjbXc/VWmuo34sG7XnU5hkQ0ezs7ObNm5k5pL+FjOjmL3h9Y1fULkX2yBFu2okOVfuqOtpKrfJI63DPl/DqsV/DQiyWssFExVSAJoveAFWNoihIhSB9w5EYN10Hi3JL1Be6uYte7e3wQ6X61LNz69HiMWKE0YzQwyAFlBapihk75XeJuh3QarXSNG232/1+v2IyzRcGaw7Vlg6KfrCAUfo769usmax+xNBazO5augZSgWZcTkVh1c56oKbVt/5C9QGNOdijh1MBCeQpkzIxg8KETkHVh1hUfTM96iEMmed5kiRRFN1yyy1Nlr4LOWNxqitNaJh7KrGWe0yp6lI2NtBw1XtdyGVZJiL79u0zxoRBN+OhsFihIqbIIAYRkShpGUSvCtvLyxEiJQhEIdUprqKSRNqgYbR124WZd+7cmSTJzMzMiNI/XtRXrFLiqewnrwQpR88GrgMwirbnTEWyQ+lRDx9WMqJVvYwatKw97Xa7URRZa++88840TUPpFxbpKTtO1JUwJSiVhJXHAYXDmYiYiu7c4YSUR4OhJOqFFFAfboc0pilTpeg0y09yMKBhQEFlb3QQIdwVJREQmEDhqFSu9XGTvwjiOA5Mf9OmTfe4xz3Q4BTEhSez0tgCPxVdMoOsOTKgjkr6fulLXwKwadOmhnggKr5fj2ZVsgskhXA2DCYNZSSs1CQxVkfdnVY9qarPf/7ziSgcgXqz6/FQuQSUBrtXRAjENFjnehRv+H0y7A0aJ/MJLmhmDnM7Jicnn/KUp7RarUVNyfFCVcv+tQBAWgljEYWWqnPZhSb8QQCAxLk0aEiZFyLicJDLj2JqnLxrHEGHChEVryJCxqrS0Nx3BQEQhTKk6EU8LjoPgOB/juO41+uF9J9m0jmCoJkSqapHUdwJgOuKDumQMdFAGVwtdegF4Zyrjx0dL5QgpfGk8ETwXpxzYPIiXoLYhQiIuawndM4JQOHuhI8Zb/75wSBJEh1O0Ro3RYuhpE1UnHcoU2kA5Hk+GAG5kP4G7HvnXBBpoeVAmFkZKr4apu5I6LJKRKRBGCspIOq9FxFRgMlrYDPOiXfiwSQizmXWsvdehdgYJ1CRYJIpGKDGGMADrAFGf2Awk5KEMp5+vx+qSpzzob0RQrhbhJo6uoTKznCqWg02bqalXkdlllX5evv27aOikYsuFGANYEGLo8r/73Q6wURowj5RAsCouexJkeWZd84Y41xGRMZQP89ExBCL90TknBMRa02aZk072gfImtHBGGlu8s5XkeDm6ff7oVaqCGQwR1EUuE14GQ0U6Kbs+3qsN0mSkQZYjUIgMk1T51zlcO73+8ZEouqcy7PAJB1RYQrPzc0pwbncewewCESROS9hMCpzqYA25XZUaNYpPSxoKGbo94vYBhhKsIbjOFIPDYopkYh4bdzxrnMcanYKa4XKulL1xMqkeZ5PTW3wXr1TNkYG+3xQH9moSGSFiunXZw2N0QNRmq3BCgARiIhBhtgQWyZxnrwQ4J3ExpJC1UO5aCYFk2eSxLFKkQmB2v1qVK1qJQDqcrfJFnCpX/pWqxXsSFXN81xFnJMoSqScPB7stOJd0Cbs/IWjtIK62bSlDu5lrxJ6s4uIzzOX5WxNnudCUKYosiLCBiCZn5/9lV/7tfleatjYiEXEGEpzByWCAZkgeUUbkoY1ijUpgLVE+NVaK+I67U63273++ut/+MPrVXV+Pg3+uuD2VygzG26Ea7GOarh3+LXJDGghSAERVbGWIXrjjTfu2nVHlrkiYWItIIjbcBcGkewm2WFVlJ1B1hj1uWGz65Ydt956a6Dce2VLIpIkya233rpjx44sk6qvRfUxY7wEHFCnrIKpDa9+DDDG5HluuCjdiZPkpptuCinczjkVImriJJsqBbr6Vct66yatuVQ6GZhy7wDYiOMk2b17z5179inYeRVR9RKc0l/60tUf/ejHt27d2u114cUQbf/hDTt27EidD25F770CxCFS1qBzHdC4jXJIUFUlpGlqjPn1l71s29bN55x99jlnn33ZZZe1Owkxz8zNihbFzSF4M26SRxG2SHViQ1JiAw/wUlBVJgXw2c9+9uyzzz3/7ufXmW29DKxmhzULIZoU7kI1YXe8JFHlr0XFIpmJ9u/ZG8Wtv/jTN9/93PNe/epXp857IWOMdxkz5ufnL7roAaefcUaIyCwmfRu6ryrHDzOHMPzYKFnizis8SADkeR7HcZqlAMT5xzz60eedd94Xv/hFEYkiGzwWS+hvPMb1ryRupetUHccasdtFob6ig4hCz2qQEOMFL3jeyaec9mdveztZAuB8FsdWvTPE73nv+/7qr//We2+I2ca33nbb2Weddf755/d6PQ8oE2ox7rFf6UI09EAeDCoXVhxbIjrj9NP37Nkj6q/56jUf+chHPvThDwPYvGVTSIpj5ubkoI+gPkq9PvO1+VBVZrg8n9s/84IXvOAVv/Hyk046CUCd/MbK3Qr1uWxVrsrYQQoaKuhCmrkNG6Ze+IvP+dGNN/zpn/5p33ljjXPivRrDxPKOd7zjiiuuOO3UM3bfsS8kFTfkWnBXW7qSBEEwjHf/L7pdadhba4zZddvOiy+++Fd/9VePOeaYzZs3szGqUG3oOEst22CFX8fuZlt0Z6qqwgdjickqQUme+fSn3O9+933yUy+dnc+9QxjilGd9iPbnu1/5yjWXXPIQUh8C27/927/zjr/56ySyURQxF473ciQ8a/M4UeM2ysGgnj4QCnzF+xe94PntOIGX888//9RTT82yTBmpy5VQOR+aKdiaSdUBUJbu9EHSnZuzxn7gAx965Stfda973vvOO/daO+TnL/yK3LitX2GkMnW8xNTzxkmFVAgSIos2jmD4z9/21j9685t279vNcdTzCuY8z0XdbbfdeuWVr3vZy16249bbJyamioo8VVXfTNfuotlYY9cYBsPDuQiUFs4z77MsE3FBP2DmrVu3fvFL//PQhzykKhz3XoWgBK+DBR/7FVVo1B6owohBFQievyzL1IuqqpCqpmnKzO/6u7959rN/XtQQR6ogVnE5Qw2bD37wwyccf+LcXJe8epd9/f/+b8fO2x7/2EerZERgQq/XY1DIptDxtyFYBGtSANdRTLMncBQxseQu6/Wvv/76Rzzqkd4LM3vVUMctIg2MAa8VjKjMVdvqVpzcvmvXa1/72sufeVmapq1WS0SFoIrqgKFhh39NgHSUd4uqV/HeAd5GUe6dELz3URQR0XOf+9z3ve99wT5wzqlChaq8bjTA6FkT0CphqpYOWcVKu92uiINynudREud5HjwNeZ4zkzKpKrRBjocmY5BGXvZpCKoMEakIEdu4lTtnDINEQKKGDEQck6oXKP7kjW966UtfumGqA8nSXvdJT3zKn73lL5jU5amI5IKJiQkAECUIETcwMcWOm4AjRSg3Mtak3W4StZj50ksv/ZVf+ZXp6Wmv4l2eRDERQdUY8pIbWvOXPBbUazRJxTL1ev0ktmzMc57znLe+9a2tic6GqSnLwX9Y+BQVzMQgaNHMoIlKaGNRD4mpgg2MMNgAuHPP7omJCQM1liNLn/3M/2zZfOyDLr446/tjjt1sLXsPa4nAlVO0CfZl8zGyQESkHl6cqvT73R237RIRNsmZZ52eZVkUx6HwnZmDl8GYono1VF7ruup5EFACGZZcbMT79u3ZdfsNzLEonX3e2SLSim3uvCpRCBMpqSiB7ti1e/eeOx/28IemWTbRit//D/9yxRW/et55d99x441TnSnvhQDJBRGV04YYPPZkxFGsSWk0UqsTxzHER1HU7Xb/6q/+yibxla9/vRJ6aTrRSgCQQlSxwKRYx8GjaqGMMlbXarWY9Iv/8/m73e1uj37c4wBkWWYtJwmnaW4iA8CLhyleX8iA5imhawECInEe4k0UAXLM1mN+8KNvGyZSveOO2y+//Oevu+46gOOEb7315qnpiSgKTggScevS98gRJ8m73/13L3jhi0QAMtffsP20U051LjPGho7cRMQEEeVCUR03xWsQqvrOd/7db77qt1QZbDKXBduJiGNjocEP4YnItlof/Ld//41X/CYzkohuun77lVde+a3vXQ9g27ZtYaioYaRpmti2FzHGikgDLeA174IWEeecqnIUveUtb/nQv334w//+Ie+9eLTbbZSBJWYmMrxu/i4H6smTH/nYx9/y539lTcRsnnX5s7Zv384UlQmWRTJoKGNlqGnc/m8cis63IXNNGcqBkxuCYRhDPncg2+umMROLh7hbbrllx46dExNTTCbk2UxMtv/+7/8pTR1zKRvW/EEfA6qSGGuteP+85z3POafqRdxpp56W53kwraoeF4bBXGTOFWcEMmgK3fhsxHFBy04sqvqKV75SxIv63Gd5P4WqKkOtwrGR3HljjCX2afrmt/z5E5/0FBGn6q+99trvf/8GImK2k9PT3vvppHX1l782OdmW4SzLpqGJNB0SjDGRtbnon/7xH3/1a9d89rOf917Jmm63CweGscwQgiopGliGtFZQL84JOk3o5H7lG96Q5900TUX92/7y7WeceXo/7TmfAUIA6SDbYrgwZh13jTrLVnjAI6SJqe6fnbHWkoJUzj///H6/K+rn52dn9s9MTk5uv+66yy9/VhQZACLifb6+/ocGGuRsBtdnNTQ9yzIR5C5nLg7C3NxcaMqxb/+cKoigfp3PHBRGEssBqDgRmZvrGiCOjCELtapQcXvuvN0Yyl0K0s997nNz/XTbscf2+5lz8qhHP6bXmw2l2Ddef/2mTZv2zs5eeNG9+/00iN2yLN4vRcm4sCYFcD0LmmCyLMuy7Ndf8aoP/ftHbBLbKOok7bPPPhtlWa2qEsy6X+hIsDAJK0kSIoKIV5Bh75WI9u7dm+d5K2mFtxhjDHH9fq3jriD1QUYgBhuQAMqGlPTcn7i7Tdqve8Mfvevv3tFpxVdc8atRFFlL3qXWsrV2dnbOxrFqYY2FtCwULV/W5HkfIyqlJfzPe191jd21a1cUJ8aaXbt2PexhD4uj6Oabb17f5iM4cBewui9NCYWjhmRystPt9hlkbXS38+6RJBMfev+//NPf/81kbH7/938/z/O/+uu//su/+iuKoiRpx3HLO7CJe72e93kURbt23eZcnqZ5EnORQldwocYl4a55l6x4H0etKIpEPZRBEIUS+pk3DBIiZSAUEoy/wcKaRj2fOTRMMMb00n6SJHmeGxM97/nP+cXnPcdDRUW9ZyLi4J0LH8AN7ETTZIwwLu+E2fzgh9eDjKCwtRiUZX3DKiLMhiObpvNgeA/vhSk09vLMtgzDj+da1ihC+lvoZBiUeOeEjAB0wgkniGQEA7Bq0epQJPQoXuczhwAqWwESERQq5MQnSeJdTmS/94PtKEZAwkG9S32e/+81X/vbv/9pYwAl7521RgFjjIjbsm1r5t28E1X1XpiI2YJQ73fUHKx5AawEhXa7/U6nA/jiXjK1rAFJlqccxyErl4mb0ORoIaoEmUrCNZBIDNXLErMNfp04aYuqMQxI7jS05iBlY+Oaz7O6oqYcgEVrcqqiiLGQVGKwRMX0Fi2eJGZR7c53W502M8/3upExDGIqSmZUSUW8OhEJjQiIQvuIYuc3ygW9cJ2bQaEC0KG7ENzRROUIQlIQRIrqVYmiKMuyOI4Diy/SFRds9ea431ZzkQ8m7F0rViRVIjKRJVUVw7l3FMYfeW8im/Z6rVbro5/4+IMu/umJdpJmLk44jPlVVSIFyKu6LIuMVUCFRMkwgtOiAbtrFGteAAMwxoTBlqEmEkVHBVVFHMcou7031hFaUVXpB83gRAdCcC+XJ6dIjQ4CdyhA0MgFx9I8qIE6MoAggFUFzJ3JCSIKIQDLrN4xFe3EiQgcBmRzGBSDpmgVd43mh6hrxRehqDSELTnLslarlaZpKMhuZiestQJjomonlKF3F7QcEZmenFLVJz3pyU9+8pO91yRmLcdejLD3LHNxHIdajCbvqzUvgIO+GUVR3Y6s7kTV2rfJbKhOeZP3SoVF5Wu1yOHXNXEhGPY3jJS3NQ3BQcfMwaMTGatQNkVqOTODDBartKhOxBhvysK9vVZ2yGL7wQS/KRGpUmiCGHR91HjOKtN5MBhxtjUHI/TUf2W2KDX+EPZSlaKuZXGGyQCSxJQmQUPZfsCa19SoHLRQ2WQjLLWukzbzTowwx7UihgNoMYybqEPAiOrT5JWvBmeJSkgZFZF6s44DvHfs9uWi397k1V4KIx22qw3f/G3fcFEUUCnBdS2/6pBfpROG7axlF62Fn1O9pRp01qgRZxXWvAWsZf/e+njLWlBBaTFzrTkIDdjqIbo1JIDrdK4VmhdFtU+qc9vA3TIw0FUJEIhhA1EcXKStaVhzulqAlu2LK+ul7IQlC3lOo1A3Sxp+WkdcCBW1wz3dqhtBC/0+4ROafJwD1rwFvNTi1t2JTbZv6tNnw88NJHIpNHZbHwy0HEsefh0xa8ZD00GgcvUzcdHzcC1g4ZI2XwwshRG9MxzbBg63XxR1xthkghfSFpa6bmIdgP7qAiv/aHMOdZ3sNS+AFxqOB5DHDUQ9UFF50cdN1NEPLYHyMHvvAYTHxt6CiubATgr6qbkEL4WFCnHDL2Ep9h1EQvObfdaXt5JGzfTKYoGfP4Bq1Upam228FHTQA3H8LuhFZZOqrnkBjNq11T3PI69pbF5ipUETkXNuYmKisaQeBpocFQ7CrNJ4QmfB0Lklz/NxU7cIAjepNvkasrqw4EhWrqn6gT2AAr1qWOrbl1rnET/KAT5hvFgYt1bVMEWxCSSNoJ4Qg/KoVmSHnX8wobohhXWs96VsxTW0wykk01fneaH0WhPHux56WeoMN/ZCArsPh8FaOzs7O26KlhN1Q3PsqMfAQoPfIGiDGAt1nGEXhWK2pqFiQws1zmYy/btE/Yru0qm4aiQdxrsWDVg2CvXlVdUsyzqdzqKG5mqSdJCvqUTvyM8HRqNuCjNnWQYgGFqVzLIVcVUqULvd3r59+3/8x3+EUZdjJ/3oRthP8/PzRLRjx44syz75yU+Om6ijFpVXynsf2goaY4Lb+TOf+Uye50TU7/dbrVZjvXNHDVR1ZmYGwKc//en5+fk4jkMIZn3lVwiVETkzM+O9v+mmm774xS8209lz9CG0arHWalk0W5gBqFXyVNkEJ5xwwj3vec8ggNHsLLK1DlXt9/tJkjDz+973vuuuuy7U9a+zoZVDiPh67+M4np+fn5iY2Lp16xVXXKGq3W433Iv1Db9CqJsy+/fvf/e7333aaadNTU055yrHwzrDWXZQ2aolWGCve93rvvzlL8/MzExPT4+btB8L5HleNavQss2I995iQTBpbm6u0+kce+yx4ddKBo+J8qMfQR4Ep+jWrVsrd9y46ToKsdDbuXnzZlXdv3//li1bRCQ8Hk1h+MYiuPqnp6fPOOOMubm5drtdBeqa4Is+yhDsq+DsARDH8datWwO3GS9hPyaoAkZVFCD4e4oYcFWHGrp/YbGisfVbtUKoltda2+SWmWsd9cxJrWWuBlTlCuvSdyVQTzwZ+ZOqTk5O1tNqKjmxjuUClWXuYVa3iIjI+jqvGsJSB7+mlu2hVHWQVKm1YgzUAgbVR6xLhZVAPbsv2MHe+/WlXglULL4uDMJqB6yL3pVDpb5X6mZdra/YTrgFoc/XOpYR1YJXMgDr67yKqOxblJu8UIkqrTMI5KAfNSp59ehGJRKqOSrreSgrgREBQGVNYdW+tFJLx0nl0Yu60rMQC8Xz2Ag9SlF37wdNNEwUHTddP16oFM3KFVeo/MEfDaCyw+rpVwdwH63jCEFlDVjlAl2PQa4Eqo5jVKvbqbP+eiBmjHT+OKCSsmHPV2WdI/6JdSwj6i6H4PUJTXDHTdePFyr/f7XJB4y+4jtlq+v6jLk1M+KGiIqRnQRBmBAphEK26SKjYhqB/9/emYdLUlSJ/pwTkZlVdZfuplka2Rp8ICBNIyDjwqLSqOCACwMu8AZnXJ6OqOMb+lPHZRjB5fvUpyKKgPgUR+YxfgzPNwzqIOjrcUdBsMGmaVGe2CzK0n23qsyIc94fJzMqb93bG3R3ZrX5++6HVdlVZWRkxImzxQlVSFut1sUXX1wuTlk3ygOgPKVRijAqAugjkMEDUAWrLFk8INll9q5TZr7vvvvmfqwqir5CgHzQooAOZpjVkzz7RvKRD4ihQO7sGNM2zN+5T/Ap3dF8MgQRr7766tC8oHpWLmfm3ru+FUFAZMH81E1gAFYJo5ISAMQDAiIgApd/R6BK+TNgAbfb7csuuwxq0NWbYaD3dEirqBERBNajmvufr8HM3TzB0xbm7K5gaZXHlojoU0Ao1VpDBOB6jrRglnnvR0ZGLr300nrGgINCBoWxGPbqICIgMAORQUBmCM0vS7HtK9C3Fzp4nHMPPvhg/RVNERHx2F9ZjSYNFOsWiwgCsjAiMPtiqkNRvLJ2XH/99SEENuClqBsISAT94V06iZZFmIuylBaFGUSgTnUGQ3hF/9tqta655pp69vP8SH7gAs85qqH/kbpO281QoyHy5CgcWR5RQoURZvBeCPvadLFUVNvYeQiqEBZ5ceqmqLpdg5RzhtV5VZRN9iJeQG8BQAARBKVs7+rrei7AwfOv8bCaeEFReLCv9BAkRCAUZgJEIi+sz0KKnYUAIMwGZx0PIJKP/G3yrOw0jwUWCbra5jqk5s5z78giTkSQBAAABahwSIgg9uesiACh/oIgCBanfUCV/jfV0srxxJp09QBS1t0JVW6AutVABAUpl0UgJFw7ObmtDP0CHOwwEdE6IwCABMagExAkIuK8xCDU0LMbGh+qukMti6QHV6eqnyr3y0k0RCCS/0Exkep/Vk9QgMLgqQ0MUG6Ph36gWpiZGQhJ/dJBDVVNtOTmyke+3lk9cwvC1jt10NWzkQoiAgvqquAZcp8yAaIAqhHMIEX4oEaoeAmCpc5dHRbdUoQLAPouh9wCJqy/eNkidXwA20RfaKIGY4IFDIhARbHrIvO7uoZugnIYMuiklVtgcynbhUFceu8RjHggXQYwP90DIQ9F5p8XRuFqY8CbJ2Sm1E8qCYIA5H5PZrZkEAVRiCDjfq6GJtQQEQKA9C0bIgIBYRDxNVTsoCiCq5VBy/6qSpjruclBRBRmhyggIuKD7EREFhYBJHWUEgKqEwgAACiPE4tgpRqelI7zG5Iaw4U7igSBiQCFQTwRFONe76LuJ2FshlrJmieDiDA7APDeSx5AAu/FOc8szjvHXs+h8FLHMPCA0K/txCi7ygHAe69VZLOsSxZBAEQYIGPnxIVYaoUN3kqCsVj2ztUHHbnM7JxjES/sOQPvQDznKg965wDY+8x7mZqaAmAkfV5AZEUkV0ZrWV8zeFPKp+rWbwqw+hyCv0qYfZoCAGg+BBIApGmu4TjvangXIYpUZ/MXSokjIqCWLjMDsHepJteKCBIxgJ/jY6tbn2+Rmj6DrUfTl5j5scceO/fcc4mQMP7Zz35urfFesiwzZAR8mCR1Q0rbT4MRVnWj5iG4gzRoOj09ba1FlCgyd9x26zvf/jZj7JFHHv3rdfeLiGr7xVcZgHSk1dACLm+3K9coqIp+DCxvCQt4QEZjM1+cwpal3/z3G1qd8fUP/cEL6xRwzjFIp9NZv/73nXaLiIyxiOaUU15CFvJAva4KXKO1YSAAX3kS1hYzFbrdroikaZpl2RevvHzvPXaPrLnwgxelqY8jItRAsVHHaW4FI0MeCa7y6KEwhWuSaj4vg2mbiAySeddNe4jwurPOiii2xhIaa+K7195b5BXngZjqGv4kqeOatE1oVX0y8MY3vvGMM864/bbbr7rqqhNOOOGhR/4IhXcoj39IHf1vyuxgah2N4JDwrGtAkiTMPD011Z2e+tznPveiU1bcdvsvnvdnxx21fNmDDz9ScnXO3idQu9vqByBD8nnlnS8IKBRyaHUxcsxAtttNJzdOvODEE35+68/a7XZndEwYEXGmOxVFkTHGse90OiJy9dVfvu222277+S8uv+KLPcdosPjlCu9sfrA45xiKiVATV3mprwar8xprb7rl5l//+tff/NaNN9zwb5+95JJ3nP92AGAQAsYiBJB/owbp0GHRDanmlY/zTTHQMGbuuYyIJicnCfiM015y660//cFPfrzqpz/Zd//9M++DblFDB88WsVU34KlijAGIut3uN77xDWAEoeVHHXXZ5ZdPTEzttvviKG4hegQkQmGp8wMKQdY6ZOFuhpCyxMztdhu8u+KLX2Ih7/2FH3zP1//lmrtW/2rvffYBAQABoNwGqOlk7+90Dx65qjufpQifowCSeHZkIhICoFar9Z8/XHXxRf94/EkvuuhTl7OgkOmlM2OjY1nmyZJakyJy9NFHH3b4Ec5BmmbGkGchEA0QQ7G5uCYOibkrQZUxYA1JAIvu+pU8joIAiEaA4la72+0mkT39jDNO//PTWfgotOe/5U03fvPbG6ZmkiRJjACCIIoQoHqCCEV7u7JpEJaoIF6qHuebghEp3wWv3kCidruN3o20k8hQsmj86GOO8UCTDgCYkBFnFfStuv3bRvWq2ZOg3MuaftJqtSYmJpDIe3/JJZ+fmpo6+OADKA8ekEZkahvzGBZ0iJfztHVvgzinuWOTk5OTk5MHHnggAvDslKuaL8O1ghBYS3CUNAMd82m3d9JJJ51w0kmPP/pHIpqZmUHEKEqYAQg1GYKZ01Se97znGRO95z3vzbw88fhGpFoY90MElvxSapRzEUC11gLAzHQXmElo4xNP3H///UuXLiUiawkABHzw9+Y/VwMjeMgID0CEM6ezYGRs9Jprvt5ptw95xuFr1641hqanuzC7eFTNDZgBhtICLvcvs3POGYIkigkNAu651z4f/uhHESFNs3YrEmEAMEQstbaA60/w1oaSTMYgswcAIjA2vuTSK159zuufftBBVOyaBwAUljz6jtUaAZuiVtNVRLSQEiAQULfXTVoEABEZD9BqtbLpjTH4kZGRNE3Hx8eNAZ96sgbReJ8hyvj4giuvvKyXul7KN9zwzSOPPPKuu37JDBGRSO32fdYNAoTy6C0ODjJEqAdFkEHErNeNoki3fhljrvmX677/gx/EhEaYQRANCGCxKQOgPwVqOP5rBYP2lIAAgyAgAUbGis8Q8YxXvmL5MccymLW/eeC4I5ff+J3vrDjp+QheBDXfEGqcxzovQ7kAD+g4WZZF7SSKIhYPQmvWrHvu85/f6oye9epXsGdjEImYWYAaO/hJEzqcmYnysgmISFEE7Jxz/+vr133rP26+45d3Iootqi+puKm54Vur6UpIAvnOXecdEe25x5JHH98oAn/912+65DOfHEkScNyb7kXGCLP3hABZ6qPYOOHEGDTmNa95TbszCmT+9p3vWLr0GY888sf99t+bmZuhv61o1qH33pC56otffOOb/psWxHr4wfV7LFqYOc8Mp7/8lZd89tLjnnMMeGDvhBBAgFnQQD5xmo7fWvLxDwwACHo8AQuzz7IoMi9+yamMkPa8aY0d+syjrrvuuhXHPxcMwOxCBUO0Bg/NAlwOkcLsNbjdbqtBNrVhY2d0fP8D9v3MZz79jnec/xdnv4KZwRgRQQBjsF6ydqgoOpyZvQghIpIA4OTGjaPjC275zo0XXnjhD398K0UWUbwXoqAikU4n1j3ZzQPYPCIIwMKIaG3ETLfc8l1rDYsdHx/vtNsgDtCQjdM0BfYGrCASAiJaa5m9Rei0ksnJjSOjCwHw6U9/+po1a/Y/YG8QDpZdaZN2wyyKWEm+nz3gnHvVq171/ONP1LcLFy4UkajVOuH4F7z6Nef+5evPyzIwAmStgBct0SQe0M62FprRvwVEQtg9BwUEILLx1NTkyMhIlrkkSaZ6M4h4zz33EJHGgMMCXFXLnxyzFuByiB5q5prbVKvUqJ2cmFyzZs2zn/0cAEqi+Prrrz/99NPT1FmjecWWfcZa46LGFnCtOnwuuhtPyyakaZq0Ip+50QULvn7NP3/kIx/95S9/SXGrx2CoOImhHAOurtmboYbZKOV94c5LL+0devhhlgyCYeeyrGcJKbbYyxYv2m2klRgDXrDXm77hxu8ce+zR++yz971r7l68ePHuez0NgG6/bfXdd9990kkneC+JNcwZzk7orSHVitG8Z0Sk5IU2xliDSZLss88+nU5nenoaRKZmJl9/3l+9/JWvetvb36LFPrMURIDICCLqGlxsLq/PwjDw6Gs4EgjylLW8hCoRsXXcNcasW3vvwYcdCkjT0xPf+Lf/c9555wlB2fM8fKlY4SA8hZk7nc4nP/lJ3Vxb/qdqCS3hguKtcy594Hf3L95toQFoxQkCHbn8WT0vE90sE/HCzjlhJ5Kxz6q7g/kJ9+KcW7ly5ZIlS+rT5wNoxMu5VCRzvrtx4jH23Yd+9+slixfEkbHWAtDue+z9hrec7/RYANH/8SzC4UqVjR98ETofAFatWqVb2irvf2bWznJeHHtm513am5iQLBOf3vQf/24Adls0BpS0RnYbHVm08YmJXm9m9z0Xf+jii7y4Sz71kcQAAlgbA0Rf+MKXnUgm4sWxpHOmz06a4wP/L/p248aNQQTVStoozOJZ8lHhs153UsRPTU2I+I0bHv3UJz4cEQCahYuXALQoGn34j1M9JyKSZRmzy2v/FH/MzOwqvZ28ZCkzn3rqqccff/zcwTDwomJYRMR76fV63qWPPfLggU/bPQIY6bSAzPLnPv+J1P3xiQ2a9l+7xs9GAxkigoi///3vw/XcApZNHTNXJ21ioCXlt/vsu++DDz548803/+GRR/fZb9/nH3+iCLcSC5o6BACo25BqdDuB0KRyz1faok0iIuEE+9GRce/SvZ62z6Wf/9xUV/MgSEQOOfyZAlp8WMvWgG7FQKnYDi73c3gRhoTeVH3sFU3gR0TvGEHiVgIIArh8+VFfvvoqAMMQM6ARISJr7WWf+/wLT17Bzr/97e88+eRTbvvFXUlr9MQTXrDnksVOT8gQwfmOH4Wddb9z5+/AE6nV9EREyA8XQUQEkShKRKTdbs/MzIyNj7/0paftsdfTGGLHaIm8kySJRMB7MUia+1nUntQfAqh6aIVBvikhP/dFhSCwCCHmddoX7Lbo57ffsWrVqo3T3Wcctmz5s4/xDKNj44T9e9Ev1qHxA5SFDJRaODQx4E1DRCQCNkpe8tLTwtWQcItIoMXo0dTusQwfpKLSUARAxsYAcOZZr5GyZNeFIt8I3MR9nwwCuhtVQHSnuwnbUXffY69zzj0PgKDv5hcAOPPMs4pvm8OPeNZhRxyTf0HyJBVNaWnYSqRIIyxeUwiptFodET708GXPOHwZABVnTfV3DANgnkBUxNyLX61v/KuGBKmS60BgF+2x18vPPEuvi0CEuZwZXnaBBXh+GqG/g9G5QXO7edinRD0pbaqmea6VPzlLyherSPNMtjP9kR8GfO2iqbsas6TNriFnGo2soaGhoaGhApoFuKGhoaGhoQKaBbihoaGhoaECmgW4oaGhoaGhApoFuKGhoaGhoQKaBbihoaGhoaECbDj+em6tx2L3VcMOZ+BM8qqbsysTqm3oYRIwuyBlOPuveQrbnXKdk3Kfi0ioI9hMgZ2Div16Vh3eJZFNnAPUP8JJn4dWJvvKV77y/e9/P8syPed1iA6XGDoQ0XtvjEHEdevWbdiw4bTTTtvy1xq2EZ0AOsj1dRRFzjk9OwURV65cuXjx4uE6SmWICKusFlPTk6RV7p999tlTU1PWWudc0/k7iLDiImIURbfeeiszv+xlL4Na1o3a9TDGZFmmJ0lD6diFfiEOvWSMSZKk2+0+9thjMLuA1vDVuR4GRERFDyJOTU0dc8wxExMTTT/vUMr6vogkSQIAURRNTEyoN6hZBrY75QU4aELe+2XLlj366KPe++CKa9hBlB9BHMcHHXTQhg0bgsun6tbt4ohIq9WampoKj0DHv4VC3OglnQNvfetbzz//fGPMgNXcuOZ2BNr5WZadf/75V155ZVBUq27XrkZwcup/syzTAR/HcbvdXrVqVejzZpzvBERkw4YNq1atWrFiRafTcc5pyd+m53coaocdd9xxq1at6vV6cRw30mYnEKS6Rhv1ijGmbwGX1VJm1slQjhMoja603XHOAUCSJOFkHmj6eQcQvHDaz1EUpWkaxzEAaAhA+1wnRtP/OwE96S9JEu+9OoFUNqmDuurW7VKUHQ9pmnY6HZjt6Wm8bjuULMvUCIb8nBUAfSj6PkSC9aPGGH07MA0aRWm7o+uBeqGjKNpUrL7hqVPO/dFOjqJI3+r00I/pgccVtnOXZO5RSFAkQKj8UR1IH5DKn4btiK61enCW914HfDB/639I8LBjjImiqCxY8qzP8hs1xXQxKJ+qGD6gOVkN25EwDbIsC/ZZMwF2BOXz11T0B2u4LIPSNG10oO1OUH1CFAAAdPWNoih0uIjoxSrbuitS9m62Wi31N8zMzIRE9LKG1JjC2x119gxsu8gtYCjZYUEwDWwJKJvIDdsR7fksy8rBmGYC7AjCRiONrVhryznPqlxqJDJN04rbuosSck2gEEnGmDRNsyxT2aLOiUYB3e6EHNsgyYNHtPyZpud3EGVdH4qJQGHQS+mU5vo/AxRAAQRGKefLFLuZWYoPhFv1iChYHIpdJ8oxmCzLqm1MCZzzV/q3XDnLr/eNG0DMj7/TFwz5mXnh69VbNkGtlNm7UYkoTVO9roHhapqnI1dfIwsyAAMwsLa2GNqACAgs4ZOAItrxEtxU4TRaLB5Kjca/PgjdDBbHcU02gKEAsGifC+YiJfSbiAdgQGQoBo/oufE63H14Xgz9eQ1QDDap2IMYvGva271er/yvA3ZwhQjmZ21q54vPXwIAAKM+pPwzHP6GYOWaY9YOuUWLTETe9/3kzIyFme7ZB4VaRKSWDyjEYHq93l577dVut+vYyvnrtOT/FHKXIFfgIMziOgn8TSIiaZreeOON1lp1E83MzFTdqEEQUTwXr0FQRPMqBUREPAsIAAhoDkH1is5Wcuqpp7bbbXU5qOe5chsAiRANFLo7CIiEyIUBIBYOklREAJGQAIDQhlswSACAAuIZMRdNgFXGtsu21x577HHUUUdpDkQ9UfMp3xZoQuWckKO6i6SMDeUCHPQjABABMqoc5VkGnr0gAKExhtl5nwFQ4dutstnzoqqoml/e+z333LPqFiky8BeGe3+nrAdQpQeEwavak4vO/AGVjo5Xw61+Cl9QgMbGxvTWnHMDrrmd2h6Q/gHvRaehUKHvCKCwMACAITXRCMlQhEIEiALCrJayDndB6M8VrN8EKNIgQhUOrDQdl0E8q51KBomIhBlRCLBwQoBBQmFBFgQ0xE6YM9WFkCJEg6WFFomC2KlWsdC+Ncb0ej3v/aJFi+rkcptFMWYZUUTYOydSjhYJERESCBZChlT+V9jmJ0ftBOIWkRIswgJZ5jW5wDmnQ4pBMu+muzNQivkF5bTiG5hNyLoaGxsTkV6vV08LWJFis7imjPVmegCQZT3vMy/c7XYdS+ZYpNCQWKBI5mMQLi3kNaEcfNH8Z81Fr7pdcwjhIRZCEvEsTp9ClqbeuayXqkcREb3PBIYpX1LX4IGgQCUUezQhTVNmcM559bCJdNOec9zrZZop5l0q3mVZ5tgTWpdmzDw9M60Olb60EWHOAACJuNJhpYqm6peq8bdarToOdcidDlDK2hMR51IA0PqMzJBlkqbZsOfrDd8CrOjqq6PHGINonHPAwsxTU1Npz02nPRNFuvRCLmdF6pfFXfZllXPfqoNLf33KuRu6mUFErLXd6ZnIWOeccy6KEhFBS57K8SQCdVoASf3GWxghukuyJmmGavvmer0axYKIRjPFBDwhIHtD4LzGrdHGibFx6rJekcUt80Qc6yityllXlSchMoPar3EcExICADvVOI2JstTbKHLOCfjIGBD/6OOP3XzL97rd1FoL7DutOHNsbJxmXrNZARnQ5LGCSvs/jPOwIbjCxmyaIAALDQbZWHQuNRZ76YzKn+npaUSM44gZZCgCXZugFuLmSdBP2EN2PhXx1loksWTGxsZtEtuk5djnFluNn5GWfQivBw7GqA8hdwMRvfdpmgKwc2nSilyWJVErjlpkCcn0Uu9E57pA7gutLyFLQFffIKSqbtcgOoYxzwhiYE+IBilOEoqtjQ0iZOxNFM+N1gNAHaMvADA7LQXrsQcPMdeGszQ1xtjYskvjVmIjA5SPE0tGvAeQv/3vF/zop7e2WkmewSoQRwYBmGFquuslX3HzcYVVjqswvENVpnqajzi7l9S1SQZUoSEDzK4z0pmYnvK1HdZbTe0EzRYpz0+VR8YgEWRp1wA+9NBD1kb77bdflmVgyAsHH2N5r2FFbZ8HnRXBviy/rapFpb9BQvKwttNGlM50f/fb+0888QWEhig655xzJ2dmEMkj+P7sIAAaSNqqCWX3Q3CBViiYcns3z3/uX8mznnUZ1iRzhi989rOtzogxEVL8Py651CN1HRNZRBO6uKwA1arnlRDUqIHvBwAAEDwLGtCNagA4/cQTbz//bxDjH/zkdootGHLsAcilPRS56+41573hDb1e933vffeBBx5oTLR4wfg3rv9XG0dxZ5SMATRhRWFxFd7Z3Ppilfsb5qJtIUAUwtn1J5g5iePf/OY3K1asOPTQw1qtVpb5ymMWT5HhW4BhsJi+F3bCLooMIn7wgx98//vfnyTtKI4FqJYa3iyC+p8HSksGcT0pHIZsLBKRiaNXn/O60152OovfuPGJm2666atXf23+b9ZwE1gRgw/78aAGWbjzkrcoCFDEO370w5V/d8Htt9+eeXfnXasvWLly7bp1xpJmFGvQfc6P1O6+oMhDhKJcYuXVfpAkJNxufPzRZx979IoVJy/afc/RhYu73VTD8OJ8lHT+c9X391u6dPc994iiaOHC8XvuXcfiL7zwwrPPPvv3Dz4EBCIQfFoodbGAlTo4G+aiLepnmIuQMVqmN03TH/7oh6eccsq73vUuAY8oDB5JympEDe9o8wzlAqwgavazEKEIi3ffu+W7961bd/bZZ09PT4tgr9eLoxaQceLQoIhHqpGuN0BQ5apWSAd3/Q4gIgCFxAT47foHfrt+/Tv/7gLvYaTduvaar/3zV//JAqBgKQw8a6/e3ElS8baTwhdXpznc90AUGYe5cYCA3jkQmZycXLhw4f7779/LsqVLlx522OG7L96TBTQNIvxCzUMAUNI+BzxV1TQGAAUsGW1Yq9VateqWF7/4xWLiqele1IoJWHNNAPAfPnTRS059qbHGC69cuTJJkl7aO+OMM6IoevTRx3UcEREGK7NqW7NsL5ad/9W2ajYS/MoIBoQ0d99aOzoyumBsfN3atfsfsC8AM3hr8/wSqKU1vzUM5QLc148ACMm7VHxm4/iCCy740pe+5J1oMaM4bk3OTAMAEWmuyrD7K+oDi/M+A+R719237wFLiUgIAN3BBz993T3rgAEFSWb5sYvEonkYummz80EEQBbvdRMqMD/3xONfdvqfX3jhhWvX3PP3737vy08/Y9GihRaBiEZGRxGRiuIo+gMV38CQoHt2gxUeJ8nivfdk8B4ATRQR+MxFsbHWPvjA+tV3/erMM89kdZBqajrz6l/dPbZg/OCDD+52vW4gFgZCmlf1bNg6CMEIyDOPOMJa69IMUUS8IaMWfTmNoNqGbitDuQBDaQ32PiWCKLZf+PylLzz5RUsPOkj3txmk2BBnruzj9fV3SdeYgWVSrcb16x/ab98DjCFE8d7ttnhcRGYmGRlAj/rI9Vku795u2BQDaorm9aAACKOAzxywoCGwBqy59LLP/9/vfu+4Y45du+aeD7zvfQZBPERRwq6/+0sKe0IQpFIX6FCgjlmDBIxAyCCA7DBfj9lBZMn1Uma+4Vs3nbzixYt3W2AI0JAAEGCr1frHiz/88U992lpqJybPEyUo9kE2E2AbEETBvkOOmYUZdQuw5mrIrDyJksttaBjiCVlYwBYRf73uvquu+p8f/+QnkchzhogjSQQMCxaMGzLgGbn6LYbDzkD6mzEEAEsW7/Hw79dbAmAGko2TE4gSJRrSCyVC+3rP0M2QCin3FQoQYGQsovFOmOU39/+/457zZ5/51KefePzxV7/67OOOO27d2nut6cf26u98riGIwuwAAA2JABBCXrKaCBhFUCCKEoqS6/71f7/nfe8XlyFnvZkuABDRK17xiqOWH/3a177OGDKFcBVmoEbsPFXyYjTMpHkDYPKNXsPMsC7AiKhjWkQA6Mc//dltv1hNxhqiAw888NFH/hDZ5K7Vd01OTnn2RIRovBdj6lt6rZaU185ZDnzdCgwsyw8/7Ldr12bTPRSObHLb7bcvP/pZaEAQhACKxwSlX9nZNzFUoJQqNtOs4s1aKkQ8I2Lm3YUf+tBrzzl32bJl7Xb7vNf/16VLD7jk05/xHpAodVnhjiu5fBoXxFZBiAYIRYRZEIx4RDAgGYgD8d4xkr3jF6sf3/DEIYccEtsoJhzptLozMx/4wD8sWfK0L3zhsixLnU8npqagtL8fEYWb/t9m1MzK8+TVhSmoBQmMiZhhqHt1yBbgkKyRv0UgYw3Fp532sjvvvH316jvvuOOOb3/722Mjo3f+4o7DDjm43Uk0w0Nr/NZz31v9mMd0KpJIiu2OWu7Q+X32XrJ4wfjHPvYRIprpdt/ylr8576/+0lhAAgMAqFlXJs+Ya1bfLbGpVTIfvZiLHhDab7/9r7jiitGxMSLYODFx15q7Dj3sGURgrQmmMwIA8PDvltx5aKxKHcZk0DlG2xodXdCJ7eIFnSgyZG3m+NLLLlv+rKONwe70JCGmM9PvvmAlsFx+2eWI0EriJI7b7bYIiGDwjlLjlNhqBtzJIpKmKRoDSJ1OJ7ZJO25ZRPCDmzaHy8c2ZAswFpUIIM9pMMIAaBYs3O3wZy477PDDjzhy2aJFi+LEHvxfDoqsNQgGSSM6xpjmpLOtIAzfWcqKHrGgOxr7CYeGMILLLr/0q//0FWttpz3+rKOeffZfnIUCBgBJsC9xcIv51Q1zUU+PjnmyxrNHQ0QUWfuOt73jkKcfQoSIuNvihSeccMLrzjnHeelmmY2jsIqH3ddN728NIuC9RyIg9F4mJqYI4yRqr//dbw45aD8y9Ku192bMN9z4rQ/8wweJKInitNvdsGHDlVdc+bGPfsQSERpL5s1vfquei2EMMjeOn20ml/TYD6VYa//+Pe+JKF5+5LNWr77bGPvMI5bnav3QenfsvHtChiVhWJ2hIEJkAUBLtB577NHr16+PIjM5OdluJyKCaEJ1G6jlTeFsqm4OAHBJXA+0R3vdCjtridm/4OQXrrvvXgQzMTE1MjKWOSYo4gOAc/q7DnfXJwyJmvS/Chsc6CUELG2T1UzdJXvvfe2118atjgNut9oZewYE5jgy3ntro/ybg79Wo/4f6PB6jHyIokhPG0TCTqfDnpnZiwMAGyW9XnbnnauXLXvmkr12B92q1O6Q4IaNG9qjo92ZXqvTZoGec9NTE/HYGCKQCduruEKbpywAh0jIQ6mI5sUXffjDF38E0QgaRpqZmdHgvIJQ99uZK2RsMNjD4yncjKUD/hCxHlXiBsg3RkI4AE9zcb0IM2O73YY8Fah/j1U1dTOEjO5yz1fNFqoYMrMIsmdEI8DpTIqIo6Oj09NT7fZIsfFRf6QW9zMvA1VQwlbUqts1T4/3PQnF5PXso1ZiImvQ9NKetZb0vCMG3aiK/QzSYlmf/7cro2ZjHqAkIrQDY2ucc8YYa+KZmRlElyTRJz7x8Te/8Q3gmYhYcGam12q1jQfv2MYRALgsRZCxkTaCBOlUzIhq7rTvtZrd7fXp+XlBRD3QBYAEyANqBnTmelGUxJFhn4GQFi+q+b2UOz+8tZv/Qlkk1W313RRYVPeF2j+SYQSLko2IGgkQ57jVamVZ5pxrt9tZ1qvwQPsnQXmQSC3LYEGpWogaUt57FjHWpi5LYtPr9ay1vZmuKp01L6ZWZ8LTJyIsdEgRcZmObe+66bXXfk0PSnLOCbtWqy0AjrM4jr33WZbFcZymKUGNRFBNmrGthGYTUa+XJUnknCPEJEmyLIvjyLnBIqb1lPz9tIzZzdvcAjwsDooycz1aw9X++jM35cFaC+q4YwAAPSip6fbtS9lBle8CMwgACVkQXjA2zsydTgc2p0PUSyTVHMTCcy8IhJGJmDmKDECu3ESRFQFh0gVAD7fXZM+Q9Vld8zfJMM5NlepxHAOIKpdaqVsd+/qvZVdupY3dAgPN20JAYljualMM3VAbLgbUHZ0beqREpe3aBmYvbP2L1bVofoLXIc+nLTo5hIdCOWVohv12JbjTwgvnuCgzmTsbMGSnA0ARra88n2DXQPsWijPK5gawh66Ty+Jlk4KyLJiG7g4bdgJhAjAzomHunylUwwVsU8wb9K3hgMdie0xpGUY9uRZmO6iHSPsZIsrjJLJECAKslZj0+sAZf+U4X8NTp+jY/llt4eTm4RI4Sj/SsflPlO2bobvJhh1EWbjo8U3hnFEpTperuIlbwYCxODd4USvKTSonS0Lp8ER965wbiv4fLsq5M7kTAvvOz/LgKZ+s1bBdkOK01gGzsOqTW58qIrK5BTgcpFXbU+IbqkVEAEjlj14J8qjahm2RcrLr5i/WhLK6MPAaEbUmn76obfRxSAm2R1A083WXmQAHDtnNK3gMiRNiiFYv7dhyCAaG0/+shCm8ORe0c65s6wzXrQ7vs6k/OJtwsSyhKm3g1oKIzuVnpOfV8ouRX2m7tpbwCDQPDgCMMcPokRsKdGUtrwHhSvA/B5u46sZujpo3L1CWLSEAXwrBDMddBMLthMYjooU54lJvL8syNfnLesfOb/STZohaKyK9Xi+OY2Yu9i4PTePLzJvQVFuY2XvPzJq/GpIqdUvPUNxCYCBZsoZPYcBzqLLFOReWqyzL9EHUkwFvf7gyNxBQW8opGjg7a6yezNu8midLbgod7VEUlY0WEdECUrOOwlaplGVZWe9o2EGECaxW18zMTK/XGwov7rCjASQ9OhoRH374Ye99t9tlZq29UHUDd0GC4ViWQc65LMugJIjqb0QOHSJijFGnpqqe3vupqSldEqpu3a6PqvUhS6bf57oAhAejOmmlTf3TYq6rvOn/qijvdmjYQQxkumGxwweakb/jaURNHXjggQdUARIRW45pc0HVLfwTouyUq7otfyqUHQzl1/oUmmexg9iUX6d/gPGQZPANKWVR37CTKQ/sNE374d1ylDcsw9AoRzuLIHRCHsdAXmXDDiWkEIdCFo3/c+egAmcgKjyM+Z7DQgjDh56vukV/QgTPc9DyMbyH0kErwRfUPJ6dRjkqUK60UHW7/iSYq3c2nb9DmWvjlkO/TefvIMqafejkxt+wMyn3dj8bTsPCQRUdeDA1TKfcxQg9PLDJoZkYO5lG9O9kyvt5mjG/owmK5sAgb4b9TmOus1NEZiU5zzUCglOoYQcRgu7lE7UaSbTzCZHIZiXYEZS7NEiVstLfhIF3KFiUMoXmlJqKCMlVZbP2/wMo0K4vzoGruAAAAABJRU5ErkJggg== | Given $r(t) = \frac{ g(t) }{ h(t) }$, find $r'(3)$ using the table below: | $r'(3)$ = $-\frac{7}{4}$ |
78b5f141-fca2-40af-8f51-cf73f052b7db | differential_calc | false | null | Find the derivative of the function $y = \frac{ 3 \cdot \csc(x) - 2 \cdot \sin(x) }{ 5 \cdot \left(\cos(x)\right)^5 } - \frac{ 16 }{ 5 } \cdot \cot(2 \cdot x)$. | $y'$ = $\frac{1}{\left(\sin(x)\right)^2\cdot\left(\cos(x)\right)^6}$ |
790253e0-8f58-47bc-92b9-ac728a08533a | algebra | false | null | Subtract the rational expression, then simplify:
$$
\frac{ 12 }{ 2 \cdot q }-\frac{ 6 }{ 3 \cdot p }
$$ | The final answer: $\frac{6\cdot p-2\cdot q}{p\cdot q}$ |
795dc875-d474-4ccd-a036-0e9f12923e70 | precalculus_review | false | null | If $\tan(\theta) = \sqrt{x^2 - 1}$, find $\sec(\theta) + \tan(\theta)$. | $\sec(\theta) + \tan(\theta)$ = $x+\sqrt{x^2-1}$ (Enter your solution as an expression using only the variable $x$.) |
798ed40f-8175-4491-9920-ae86878a57a9 | algebra | false | null | The unit price of an item affects its supply and demand. That is, if the unit price goes up, the demand for the item will usually decrease. For example, a local newspaper currently has $84\ 000$ subscribers at a quarterly charge of $\$30$. Market research has suggested that if the owners raise the price to $\$34$, they would lose $9000$ subscribers. Assuming that subscriptions are linearly related to the price, what price should the newspaper charge for a quarterly subscription to maximize their revenue? | The final answer: $\frac{101}{3}$ |
79cc6592-1b0c-4b62-ac57-f7501f01bfae | algebra | false | null | Solve the following equations:
1. $6 (m+4) - 2m = -8$
2. $44 = 4 (8+h)$
3. $0.75 (8t - 4) = -2$
4. $3 (5-t) - 4t = 18$
5. $2 (y-5) = 16$
6. $0.1 (h+20) = 3$
7. $7y + 3 (8-y) = -12$ | The solutions to the given equations are:
1. $m=-8$
2. $h=3$
3. $t=0.166666666666667$
4. $t=-\frac{ 3 }{ 7 }$
5. $y=13$
6. $h=10$
7. $y=-9$ |
79d8b155-285b-42e4-852c-e2080b752e13 | precalculus_review | false | null | Find the value $k$ that satisfies the following integral equation:
$$
\int_{1}^k \log_{2}(x) \, dx = 2 - \frac{ 1 }{ \ln(2) }
$$ | $k$ = $2$ |
7a051da0-75c2-4686-98b3-d008e37fda65 | multivariable_calculus | true | 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 | A guy-wire supports a pole that is 75 feet high. One end of the wire is attached to the top of the pole and the other end is anchored to the ground 50 feet from the base of the pole. Determine the horizontal and vertical components of the force of tension in the wire if its magnitude is 50 lb. (Round to the nearest integer.) | Horizontal component: $42$ Vertical component: $28$ |
7a75b4a6-486b-4925-b92c-8982e6bc632c | sequences_series | false | null | Find the radius of convergence of the series:
$$
\sum_{k=1}^\infty \left(\frac{ \left(k!\right)^3 \cdot x^k }{ (2 \cdot k)! }\right)
$$ | $R$ = $0$ |
7a7e986f-3a25-4d58-b29e-e84d61b1d013 | precalculus_review | false | null | Solve the following absolute value equation:
$x^2 - 2 \cdot |x| - 3 = 0$ | The final answer: $x=-3 \lor x=3$ |
7ab2c0ae-7112-4339-907c-e65bac3a2548 | multivariable_calculus | false | null | The surface of a large cup is formed by revolving the graph of the function $y = 0.25 \cdot x^{1.6}$ from $x = 0$ to $x = 5$ about the $y$-axis (measured in centimeters). Find the curvature $\kappa$ of the generating curve as a function of $x$. | $\kappa$ = $\frac{30}{x^{\frac{2}{5}}\cdot\left(25+4\cdot x^{\frac{6}{5}}\right)^{\frac{3}{2}}}$ |
7ad62465-33c4-44bc-83cf-3a52da5732c3 | algebra | true | 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 | Using the given graphs of $f(x)$ and $g(x)$, find $g\left(g(3)\right)$. | The final answer:
$g\left(g(3)\right)$ = $5$ |
7b259818-c9a0-4cac-9c03-146900fa791b | multivariable_calculus | false | null | Evaluate the integral:
$$
\int \int \int_{R} 3 \cdot y \, dV
$$
where $R$ is bounded by:
1. $0 \le x \le 1$
2. $0 \le y \le x$
3. $0 \le z \le \sqrt{9-y^2}$ | $\int \int \int_{R} 3 \cdot y \, dV$ = $\frac{216-86\cdot\sqrt{2}-243\cdot\arcsin\left(\frac{1}{3}\right)}{8}$ |
7b9cce25-460c-4712-bb49-a0d60ded955c | sequences_series | false | null | Use the substitution $(b+x)^r = (b+a)^r \cdot \left(1 + \frac{ x-a }{ b+a }\right)^r$ in the binomial expansion to find the Taylor series of the function $\sqrt{x+2}$ with the center $a=1$. | $\sqrt{x+2}$ = $\sum_{n=0}^\infty\left(3^{\frac{1}{2}-n}\cdot C_{\frac{1}{2}}^n\cdot(x-1)^n\right)$ |
7c945151-a3be-4cdf-ac65-effe67ac8fe4 | algebra | true | 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 | Find the slope of the line pictured: | The final answer: $0$ |
7ce3adca-6f57-46b9-a522-ebaad3f0a35e | algebra | false | null | Use Descartes’ Rule of Signs to determine the possible number of positive and negative real zeros of the following polynomial:
$f(x) = 10 \cdot x^4 - 21 \cdot x^2 + 11$ | The possible number of positive zeros: $2$, $0$
The possible number of negative zeros: $2$, $0$ |
7d1cb715-71f2-4ea7-97ae-3598147c0dff | integral_calc | true | 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 | Find the area between the curves $y^2 = x^3 - x^2$ and $x = 2$: | Area: $\frac{32}{15}$ |
7d29f145-f403-4580-92f3-f1edafc102c6 | sequences_series | true | 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 | Find the Fourier series expansion for the periodic function $f(x) = x - 1$ (on $(-1, 1]$) with period $2$. | The Fourier series is: $f(x)\approx\sum_{n=1}^\infty-\frac{2\cdot(-1)^n\cdot\sin(n\cdot x)}{\pi\cdot n}-1$ |
7d2b09cc-83d7-43ce-b44f-8ae789286891 | sequences_series | false | null | Find the Fourier series of the function $\varphi(x) = \frac{ x }{ 4 }$ in the interval $(0,2 \cdot \pi)$. | The Fourier series is: $\frac{\pi}{4}-\sum_{n=1}^\infty\left(\frac{\sin(n\cdot x)}{2\cdot n}\right)$ |
7d6bd5ff-9338-4e3b-91bb-6e8b1553040e | precalculus_review | true | 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 | Determine all six trigonomeric functions for the angle $ heta$ formed by the x-axis and the line passing through the origin and the point $P$ =$(8,-15)$.
1. $\sin( heta)$
2. $\cos( heta)$
3. $ an( heta)$
4. $\csc( heta)$
5. $\sec( heta)$
6. $\cot( heta)$ | 1. $\sin( heta)$ = $\frac{15}{17}$
2. $\cos( heta)$ = $\frac{8}{17}$
3. $ an( heta)$ = $\frac{15}{8}$
4. $\csc( heta)$ = $\frac{17}{15}$
5. $\sec( heta)$ = $\frac{17}{8}$
6. $\cot( heta)$ = $\frac{8}{15}$ |
7db54c2b-7ca2-43b2-9fc5-f33d8b54d9b8 | multivariable_calculus | false | null | The function $y=f(x)$ in parametric form is:
$x = t^5 - 5 \cdot t^3 - 20 \cdot t + 7$
$y = 4 \cdot t^3 - 3 \cdot t^2 - 18 \cdot t + 3$ on the interval $\left(-2<t<2\right)$.
Find extreme values of this function. Submit as your final answer:
1. The point(s) where the function has a maximum or maxima
2. The point(s) where the function has a minimum or minima | 1. The point(s) where the function has a maximum: $P(31,14)$
2. The point(s) where the function has a minimum: $P\left(-\frac{1033}{32},-\frac{69}{4}\right)$ |
7dfe7434-cf7f-4e8b-bbf3-c870a7a0ef46 | differential_calc | false | null | The following polynomial functions are given:
$f(x) = x^5 + x^4 + x + 11$
$g(x) = x^3 + x^2 - 10$
What is the value of $\frac{ f'(2) }{ g'(-2) }$? | The final answer: $\frac{f'(2)}{g'(-2)}=\frac{123}{8}$ |
7e2fda44-9aea-49f6-88a4-cf14f2342966 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ x + \sqrt[3]{x^2} + \sqrt[6]{x} }{ x \cdot \left(1 + \sqrt[3]{x}\right) } \, dx
$$ | $\int \frac{ x + \sqrt[3]{x^2} + \sqrt[6]{x} }{ x \cdot \left(1 + \sqrt[3]{x}\right) } \, dx$ = $C+6\cdot\left(\frac{1}{4}\cdot\sqrt[6]{x}^4+\arctan\left(\sqrt[6]{x}\right)\right)$ |
7e6d17d0-89e3-4b9f-8c9c-48b2fae8878b | multivariable_calculus | false | null | For the function $z = \ln\left(e^x + e^t\right)$, find:
1. $\frac{ d z }{d t}$
2. $\frac{ d z }{d t}$ when $x = t^3$ | 1. $\frac{ d z }{d t}$: $\frac{e^t}{e^t+e^x}$
2. $\frac{ d z }{d t}$, when $x = t^3$: $\frac{3\cdot e^{t^3}\cdot t^2+e^t}{e^t+e^x}$ |
7edd29b3-3371-4552-8048-2d9b0fdc6006 | multivariable_calculus | false | null | The following vectors are given:
$u = 2 \cdot \mathbf{i} - 3 \cdot \mathbf{j} + 2 \cdot \mathbf{k}$
$v = 3 \cdot \mathbf{i} + 2 \cdot \mathbf{j} - 3 \cdot \mathbf{k}$
Find the following component:
Project of $u$ onto $v$ | The final answer: $w=\frac{9}{11}\cdot i+\frac{6}{11}\cdot j-\frac{9}{11}\cdot k$ |
7eedb03b-f388-4069-b2c8-b099c9c16fcf | multivariable_calculus | false | null | Find the equation of a circle which passes through $(-3,1)$ and its center is on the same line with the centers of the following circles:
1. $(x-5)^2 + y^2 = 5$
2. $x^2 + (y-10)^2 = 130$ | The final answer: $(x-2)^2+(y-6)^2=50$ |
7efd2ae1-d387-447f-ad12-4b0dc2ab7a22 | differential_calc | false | null | Sketch the curve:
$y = 3 \cdot x^2 - x^4 - 2$.
Submit as your final answer:
1. The domain (in interval notation)
2. Vertical asymptotes (Leave blank if there are no vertical asymptotes)
3. Horizontal asymptotes (Leave blank if there are no horizontal asymptotes)
4. Slant asymptotes (Leave blank if there are no slant asymptotes)
5. Intervals where the function is increasing (Leave blank if there are no such intervals)
6. Intervals where the function is decreasing (Leave blank if there are no such intervals)
7. Intervals where the function is concave up (Leave blank if there are no such intervals)
8. Intervals where the function is concave down (Leave blank if there are no such intervals)
9. Points of inflection (Leave blank if there are no points of inflection) | 1. The domain (in interval notation): $(-1\cdot\infty,\infty)$
2. Vertical asymptotes: None
3. Horizontal asymptotes: None
4. Slant asymptotes: None
5. Intervals where the function is increasing: $\left(-\infty,-\frac{\sqrt{3}}{\sqrt{2}}\right)$, $\left(0,\frac{\sqrt{3}}{\sqrt{2}}\right)$
6. Intervals where the function is decreasing: $\left(-\frac{\sqrt{3}}{\sqrt{2}},0\right)$, $\left(\frac{\sqrt{3}}{\sqrt{2}},\infty\right)$
7. Intervals where the function is concave up: $\left(-\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}\right)$
8. Intervals where the function is concave down: $\left(-\infty,-\frac{1}{\sqrt{2}}\right)$, $\left(\frac{1}{\sqrt{2}},\infty\right)$
9. Points of inflection: $P\left(-\frac{1}{\sqrt{2}},-\frac{3}{4}\right)$, $P\left(\frac{1}{\sqrt{2}},-\frac{3}{4}\right)$ |
7f8713f5-81ca-4ec4-9134-e58d8b8b2c1e | differential_calc | false | null | Make full curve sketching of $y = 2 \cdot \arcsin\left(\frac{ 1-7 \cdot x^2 }{ 1+7 \cdot x^2 }\right)$. Submit as your final answer:
1. The domain (in interval notation)
2. Vertical asymptotes
3. Horizontal asymptotes
4. Slant asymptotes
5. Intervals where the function is increasing
6. Intervals where the function is decreasing
7. Intervals where the function is concave up
8. Intervals where the function is concave down
9. Points of inflection | 1. The domain (in interval notation) $(-1\cdot\infty,\infty)$
2. Vertical asymptotes None
3. Horizontal asymptotes $y=-\pi$
4. Slant asymptotes None
5. Intervals where the function is increasing $(-\infty,0)$
6. Intervals where the function is decreasing $(0,\infty)$, $(-\infty,0)$
7. Intervals where the function is concave up $(0,\infty)$, $(-\infty,0)$
8. Intervals where the function is concave down None
9. Points of inflection None |
802213f1-06e1-4063-b572-53eecf9dc2fc | integral_calc | false | null | Evaluate the integral:
$$
I = \int 2 \cdot \ln\left(\sqrt{2-x}+\sqrt{2+x}\right) \, dx
$$ | The final answer: $2\cdot x\cdot\ln\left(\sqrt{2-x}+\sqrt{2+x}\right)-\left((C+x)-2\cdot\arcsin\left(\frac{x}{2}\right)\right)$ |
802382d0-0530-42f9-9a0a-48e12b08da84 | differential_calc | true | 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 | The graph of a function $f$ is shown above. If $c(x) = 3 \cdot x \cdot f(x) - \frac{ e^x }{ f(x) }$, determine the value of $c'(0)$. | $c'(0)$ = $5$ |
8061d2e1-8561-4f7f-9ae9-18f132ca2705 | precalculus_review | false | null | Solve $\frac{ 1 }{ x \cdot (x+2) }-\frac{ 1 }{ (x+1)^2 }=\frac{ 1 }{ 12 }$ | The final answer: $x=-3 \lor x=1$ |
80a14173-80b6-4e3b-ace4-a3ff3b2af70e | algebra | false | null | A formula for the normal systolic blood pressure for a man age $A$, measured in mmHg, is given as $P = 0.006 \cdot A^2 - 0.02 \cdot A + 120$. Find the age to the nearest year of a man whose normal blood pressure measures $125$ mmHg. | The final answer: $31$ |
80f9d7db-f542-4e35-b4cf-2748290a1ac3 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ \tan(x) }{ \sqrt{\sin(x)^4+\cos(x)^4} } \, dx
$$ | $\int \frac{ \tan(x) }{ \sqrt{\sin(x)^4+\cos(x)^4} } \, dx$ = $\frac{1}{2}\cdot\ln\left(\tan(x)^2+\sqrt{\tan(x)^4+1}\right)+C$ |
8221ca9b-f6a2-4cfb-bf1a-ae2a389b6481 | integral_calc | false | null | Use the table of integrals to evaluate the integral $\int{\left(\sin(y)\right)^2 \cdot \left(\cos(y)\right)^3 \, dy}$.
Use this link to access the table of integrals: [Table of Integrals](https://openstax.org/books/calculus-volume-2/pages/a-table-of-integrals) | 1. Submit the formula used: $\int{\left(\sin(u)\right)^n \cdot \left(\cos(u)\right)^m d u}=-\frac{ \left(\sin(u)\right)^{n-1} \cdot \left(\cos(u)\right)^{m+1} }{ n+m }+\frac{ n-1 }{ n+m } \cdot \int{\left(\sin(u)\right)^{n-2} \cdot \left(\cos(u)\right)^m d u}$, $\int{\left(\cos(u)\right)^3 d u}=\frac{ 1 }{ 3 } \cdot \left(2+\left(\cos(u)\right)^2\right) \cdot \sin(u)+c$ (For example: to evaluate $\int{(x+3)^2 \, dx}$ you would use and submit the formula $\int{u^n \, du}=\frac{ u^{n+1} }{ n+1 }+C$).
2. $\int{\left(\sin(y)\right)^2 \cdot \left(\cos(y)\right)^3 \, dy}$ = $-\frac{\sin(y)\cdot\left(\cos(y)\right)^4}{5}+\frac{1}{5}\cdot\frac{1}{3}\cdot\left(2+\left(\cos(y)\right)^2\right)\cdot\sin(y)+c$ |
82584e44-4d1a-47ba-99f9-7cf389b26994 | differential_calc | false | null | Find the first derivative of the function:
$$
y = \left(3 \cdot a^2 - 2 \cdot a \cdot b \cdot x + \frac{ 5 }{ 3 } \cdot b^2 \cdot x^2\right) \cdot \sqrt[3]{\left(\frac{ a }{ 3 } + \frac{ b }{ 3 } \cdot x\right)^2}
$$ | The first derivative is: $\frac{40\cdot b^3\cdot x^2}{9\cdot3^{\frac{2}{3}}\cdot\sqrt[3]{a+b\cdot x}}$ |
82e1e37e-a913-4df5-bfa6-6fc6880a6ae2 | sequences_series | false | null | Find the Taylor series of the given function $f(x) = \frac{ 1 }{ (x-1)^2 }$ centered at the indicated point: $a=0$ . (Hint: Differentiate $\frac{ 1 }{ 1-x }$.) | $\frac{ 1 }{ (x-1)^2 }$ = $\sum_{n=0}^\infty\left((n+1)\cdot x^n\right)$ |
83a37faf-1b91-4237-bf28-3ddc2db64ef4 | algebra | false | null | A biologist observes that a certain bacterial colony triples every 4 hours and after 12 hours occupies 1 square centimeter.
1. How much area was occupied by the colony when first observed?
2. What is the doubling time for the colony? | 1. $\frac{1}{27}$ cm². (Enter an exact solution as a fraction.)
2. $2.52$ hours. (Enter an approximate solution rounded to 2 decimal places.) |
840a022b-2ef4-4fad-868b-52d564d2f551 | sequences_series | false | null | Find a “reasonable” upper-bound on the error in approximating $f(x) = x \cdot \ln(x)$ by its 3rd order Taylor polynomial $P_{3}(x)$ at $a = 1$ valid for all values of $x$ such that $|x - 1| \leq 0.7$. | The final answer: $\frac{2}{(0.3)^3}\cdot\frac{(0.7)^4}{4!}$ |
84575e59-630e-42a7-8f74-0a98ced4f213 | differential_calc | true | 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 | Use the following graph and find: $\lim_{x \to 0^{-}}\left(f(x)\right)$ | $\lim_{x \to 0^{-}}\left(f(x)\right)$: $1$ |
849aee88-91bf-42c9-9241-e0e9af266311 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ \sqrt{4+x^2} }{ x } \, dx
$$ | $\int \frac{ \sqrt{4+x^2} }{ x } \, dx$ = $C+\sqrt{4+x^2}+\ln\left(\left|\frac{\sqrt{4+x^2}-2}{2+\sqrt{4+x^2}}\right|\right)$ |
84c6a419-c103-41d5-aad5-dd8e690c6e88 | differential_calc | false | null | Compute the limit:
$$
\lim_{x \to 0}\left(\frac{ -\sin(x) }{ x }\right)^{\frac{ 1 }{ 4 \cdot x^2 }}
$$ | $\lim_{x \to 0}\left(\frac{ -\sin(x) }{ x }\right)^{\frac{ 1 }{ 4 \cdot x^2 }}$ = $e^{-\frac{1}{24}}$ |
84ca0349-623e-4dd9-8420-f4ee6fb7c129 | multivariable_calculus | true | 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 | Evaluate the triple integral $\int \int \int f(x,y,z) \, dx \, dy \, dz$ over the solid $f(x,y,z) = x \cdot y$, $x^2 + y^2 \le 1$, $x \ge 0$, $x \ge y$, $-1 \le z \le 1$: | $\int \int \int f(x,y,z) \, dx \, dy \, dz$ = $\frac{1}{8}$ |
84d0c8fe-04f1-412b-84a4-45f02aa9a4e2 | integral_calc | true | 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 | Let $R$ be the region in the first quadrant enclosed by the graph of $g(x) = \frac{ 12 }{ 1+x^2 }-2$ as shown in the figure above.
1. Write, but do not evaluate, an integral expression that gives the volume of the solid generated when $R$ is revolved about the $x$-axis.
2. Write, but do not evaluate, an integral expression that gives the volume of the solid generated when $R$ is revolved about the $y$-axis. | 1. $\int_0^{2.236}\left(\pi\cdot\left(\frac{12}{1+x^2}-2\right)^2\right)dx$
2. $\int_0^{10}\left(\pi\cdot\left(\frac{12}{y+2}-1\right)\right)dy$ |
84faeb60-6ed1-4ef8-b2cc-23a767cfb04e | precalculus_review | false | null | Solve the following system of equations:
1. $x + y = \frac{ 2 \cdot \pi }{ 3 }$
2. $\frac{ \sin(x) }{ \sin(y) } = 2$ | The final answer: $x=\frac{\pi}{2}+\pi\cdot k$, $y=\frac{\pi}{6}-\pi\cdot k$ |
85a160ac-e54e-409a-ab21-06d3510b70c4 | differential_calc | false | null | Find the maximum and minimum values of the function $r = \frac{ 1 }{ 3 } \cdot \sin(x) + \sin\left(\frac{ x }{ 3 }\right)$ in the closed interval $\left[0, \frac{ 3 }{ 2 } \cdot \pi\right]$. | Maximum Value: $\frac{2\cdot\sqrt{2}}{3}$
Minimum Value: $0$ |
85de5956-0bf2-4223-96e5-7ef262790fe9 | algebra | false | null | For what values of $x$ and $y$ does the following expression attain the minimum possible value?
$E = 5 \cdot x^2 + 9 \cdot y^2 - 12 \cdot x \cdot y - 6 \cdot x + 14$ | The final answer: $x=3$, $y=2$ |
868594b4-04b6-4f77-abef-df1528a43633 | precalculus_review | false | null | Evaluate $\tan\left(\arcsin\left(\frac{ 3 }{ 5 }\right)+\arccos\left(\frac{ 5 }{ 13 }\right)\right)$. | The final answer: $\tan\left(\arcsin\left(\frac{3}{5}\right)+\arccos\left(\frac{5}{13}\right)\right)=-\frac{63}{16}$ |
868d5f3c-4350-4fe7-b65b-161b591491ae | precalculus_review | false | null | Vertices of a triangle are at the points $A(-1,3)$, $B(3,0)$, and $C(8,12)$. Calculate the area of the triangle. | The final answer: $A=\frac{63}{2}$ |
877845fa-0d38-4fcf-8281-44fe62452bb9 | precalculus_review | false | null | Find zeros of $f(x) = \sqrt[3]{2 \cdot x - 3} + \sqrt[3]{3 \cdot x + 2} - 3$ | The final answer: $x=2$ |
877e3f76-3b61-4e49-8196-680ebce22030 | multivariable_calculus | true | 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 | A projectile is shot in the air from ground level with an initial velocity of $500$ m/sec at an angle of $60^\circ$ with the horizontal. What is the maximum range? Round your answer to one decimal digit.
The graph is shown here: | Answer: $22092.5$ m |
87bef79a-5776-402a-9247-942662ea7739 | integral_calc | true | 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 | Graph of $a(t)$
A bug is traveling along a straight path such that its acceleration, $a(t)$, in centimeters per second per second, for $0 \le t \le 12$ is given by the graph above.
At $t=0$, the bug is traveling at a rate of $10$ centimeters per second. At what other time is the bug traveling at a rate of $10$ centimeters per second? | $t$ = $11$ |