Maths-
General
Easy
Question
The function
is
- Strictly increasing
- Strictly decreasing
- Neither increasing nor decreasing
- None of these
Hint:
We are given a function. We have to find if it's increasing or decreasing. A function is increasing when it's first order derivative is positive. A function is decreasing when it's first order derivative is negative. We will find the first order derivative of the given function to find the answer.
The correct answer is: Strictly increasing
The given function is f(x) = ![tan to the power of negative 1 end exponent open parentheses x close parentheses](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAASCAYAAAAE7bMcAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAaVJREFUeNpjYBi8QA2Ia4H4AsMIBouBOA2I/zOMAryBkAXEHSSa1wHVNywCQQ+Ij5Np5lGo/gHzEC5MaiCAPGJApjuMgfgwuuC7IZYSDKCBQAk4DA0MovLdYAyELiDOodDcPOTyhFCy9APik0D8C4hvAbE1DkeGAvFdIP4BxAeBWJaGgbADiG2xiCfjKCiboXLIwBKI9xKbEpYCsRaUnQjEV7A4MhQaO/JI6g7SoPyAgU9AzIZD3zkgFkfig9wyBYs6Nqg5JGcHJmiKQNfrSIQ6aoI/eOQ8gLgPynZBj2008IvcMuE/kaX3/wEKBBDYDcT20NamMDUCoRZaFvzBUW4MRCDgyw4gUAD1IL62ANHZYSY0v3MMspSwG0sBDQMg8TXQLBGJxwyMgvEXNB9jC/HBmB1wVZFKQLwJiLmAmAeIz+DJDjlQc+DgAo5Qu4FUtUhDq5rnUPZABgK2xpIoEG9D87QPtCNGVGMJVLq/xOJwPWiV8wvaVjAH4kao2oEMBAZov0EPKX+vQ4scGFgOrTEINpuHIhiyHShqgwwyutJd0HEKOAAAD9F/XcR3J9UAAACWdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1pPnRhbjwvbWk+PG1yb3c+PG1vPi08L21vPjxtbj4xPC9tbj48L21yb3c+PC9tc3VwPjxtZmVuY2VkPjxtaT54PC9taT48L21mZW5jZWQ+PC9tYXRoPo/s7hYAAAAASUVORK5CYII=)
We will take the first-order derivative of the function.
![table attributes columnalign left end attributes row cell f open parentheses x close parentheses equals tan to the power of negative 1 end exponent open parentheses x close parentheses end cell row cell f apostrophe open parentheses x close parentheses equals fraction numerator 1 over denominator 1 plus x squared end fraction end cell row blank end table](data:image/png;base64,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)
The quantity x2 is always positive.
And all other values are positive constants.
So, the total value of the first-order derivative is positive.
It means f'(x) > 0
It means the given function is strictly increasing.
For such questions, we should check the rules of increasing and decreasing function.
Related Questions to study
maths-
If the function
is decreasing in its domain then ![K E](data:image/png;base64,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)
If the function
is decreasing in its domain then ![K E](data:image/png;base64,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)
maths-General
Maths-
The function
is
We have to see the rules for a increasing and decreasing function.
The function
is
Maths-General
We have to see the rules for a increasing and decreasing function.
maths-
If
then the maximum value of
is
If
then the maximum value of
is
maths-General
maths-
The minimum value of the function
where
is
The minimum value of the function
where
is
maths-General
physics-
In the experiment of potentiometer wire
is 100 cm long shown in figure When AC=40 cm, no deflection occurs in the galvanometer. What is the value of R ?
![](data:image/png;base64,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)
In the experiment of potentiometer wire
is 100 cm long shown in figure When AC=40 cm, no deflection occurs in the galvanometer. What is the value of R ?
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)
physics-General
physics-
Consider the potentiometer circuit shown. The potentiometer wire is 600 cm long and having restance 15r At what distance from the point A should the jockey touch the wire to get zero deflection in the galvanometer?
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)
Consider the potentiometer circuit shown. The potentiometer wire is 600 cm long and having restance 15r At what distance from the point A should the jockey touch the wire to get zero deflection in the galvanometer?
![](data:image/png;base64,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)
physics-General
physics-
Circuit for the measurement of resistance by potentiometer is shown. The galvanometer is first connected at point-A and zero-deflection is observed at length PJ=10 cm. In the second case, it is connected at a point
and zero deflection is observed at a length
from P. Then what is the unknown resistance X?
![](data:image/png;base64,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)
Circuit for the measurement of resistance by potentiometer is shown. The galvanometer is first connected at point-A and zero-deflection is observed at length PJ=10 cm. In the second case, it is connected at a point
and zero deflection is observed at a length
from P. Then what is the unknown resistance X?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXoAAAEnCAYAAACnsIi5AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAGiXSURBVHhe7f2Hc1xHl+WLvr/pxo13Y6LvvJk3d0xPT/dMd0/39LT7rKRPlpIoeg8S3nvvPeG9I7wHCcJ7gADhAcIRILxbd68EIIFkwVD0xf2LyKCEqlN16pzMldtlnv8PFEVRFKtGhV5RFMXKUaFXFEWxclToFUVRrBwVekVRFCtHhV5RFMXKUaFXFEWxclToFUVRrBwVekVRFCtHhV5RFMXKUaFXFEWxclToFUVRrBwVekVRFCtHhf412dnZwcbGBtbW1sy/29vb+68oiqJ8GKjQvyaLT5+ira0VlZUVePiwERMTEyr2iqJ8UKjQvyYT4+NIT0uFj7cX4uNi0d7Whs3Nzf1XFUVR3j8q9K/J2Ogo7iYmwNnJEZER4WhpblahVxTlg0KF/jU5sOi9PD0QHxujFr2iKB8cKvSvyYHQe3t5auhGUZQPEhX61+TVhH53vymKorw7VOhfk1cR+s2NdTxbfIrV5WemLFNRFOVdoEL/mryK0M88eYLmh42or6lBX08Pni4s7L+iKIry9lChf01eRegfDQwg+e5dBPj6IisjHYOPBvZfURRFeXuo0L8mryL0vWLFR4aFwdHWFnFRUeju6tp/RVEU5e2hQv+avIrQ9/f1IVYE3s3JCYlxcSL83fuvKGR3dxcb6+tmKwn+96vA1ci87m8798Hz4ne96vmR7a0tc46/5tgtOXZ7e2v//xTl1VChf01eWeijo+Hm7IS78Sr0L/J0Yd5ck+Hhx0bYTguFc2JiHMOPh7C8/Gz/r6djV0R7e4t7FJ3u+3hv5+ZmMT8/+0qCzffOzc5i5PFjs23Gq7C+toaJsVFMT05gS7fXUH4FKvSviQr960MrfGVlBY0P7uNuQiyqKsrlGm7sv3o0FM9nz56hr68HOdlZKCrIx5Pp6f1Xj2dleRnDQ0NoaXqIjrYWOW5q/5XjWV1dQWtLMyorytDV2YH5ublTT0r9vb0oys/D/bo6mSzmjOdyEpyARkeGUVZyT65LGaanpoxnoCivggr9a6JC//qsra3KtelFVEQobly9hLtyHZcXF/dfPRoKbFdnJ6Ijw3Hl4gX4eXti8NGj/VePZ2R4GKkpyXCyt0WArzeaGh/sv3I8rJTKzsqEi4M9/H28UV1ZaSab01BfVwtvT3c5zsscxyqs49jd3cHTp/Ooqa6Ev68Pgvz90CCf8XR+7pW8CUVRoX9NVOhfn4WnCygVi/Xm9av402d/kOvjiHaxmpdOEPutrW2Ul5bi0oWf8L/+9q9x+cI51FRReJdOjNX3dHfD2dFejvsf+PqLPyIvO9OEcI6DljRDL2EhIfj897/DZ7//LWKiIrFwQpns+vq6scTTZGK5JOf445lvERUehiHxKI6DFn9/f6/0qxhcuXTRTGbxMdHo6+3ReL3ySqjQvyYq9K8P4+uJcj0unDuLM99+jetXLxtx6+vt3X+HZVZXV03I5ofvvsH//vu/xdnvv0PcvhAyqXscDL/Y3r6Fv/mrv8Aff/MvSIiJFAt7Yv/Vl6EFvTg/jwf19fD18sIff/sb/NM//L14EV6YnDj6ODIzM4NqmYBolV/46Sy++uJzeLi6oKO9ff8dllleXkZNTbV4AR7m2vwov89F+k5NdfWRfUxRLKFC/5qo0L8+jwb6EODnYyxy+zs2uHnjKpyd7NHQUL//jpdZX18zSVsK+08/fo9vv/5SLN7zcHNxQllpiRFJS/A47jhaWJBnvuvz3/0WZ77+SsTbAw111Xh6RKKUYaIBmXjSU1Ph6eYmVvkZ/PF3v4GTnS3ui/gvyCRwVDiFYaK7dxPg6uSIW9ev49uvvsTNa1dRId7ICpPHRxzHkFBubg7sbe+Yye/c2R9w9fIlFOTlmsofRTktKvSvydTkJDLS015d6BPi0dd3vMX6KbC+tioCW2PCNc4O9khKjDeib3vnFgoLC8y1tCSgM0+mUVleZixqW5tb8PPxFovZ24g3vQO+bol5EeTK8nKEhgTB3cVZvtMBLo4OcLS3k3sTiUdHLGLb3NhAnVjXwUGB5ru83N1gc/0abG/dRFx0FLo6OiyKL8+9u7MT4eGh8JVzDQkMFLG/JpPaecTLcY/6+yx6Hww9TU1N7m2B7Wgv18TX9JtrVy4hWf7GXIFuo6GcFhX612TmyQyyMjLg40mhP36bYgp9jAi9q4gahX5goH//lU+THRFBWvN3E+LgKJZxfAyvXytys7PEir1t4t9Dg49MiOZFGJ5JiI0xk0NYSDDqa2tRUnwPTg52IqieYn33YHfnZeGdmp5CSnIS3FydjehmZ2aIlZ5ixN5NhL+ttXX/nc+zJWLMqh5PDzfxIiJRmJ8j3x8FJ5kgeCxzBS9W3+yKED9bWtoL2/j7mvOtlPdxYqBl7yrCXVJcZCp3DsMk7Pz8nKlCCg4MkOaPyrJS5Mt1cZbfx6QzX2OZp6Kchncu9LRwOCBYG8ySOrrYLHX7qNrK3r/L4lr39/aJBRkPD1dXxMZEmccKHi/0Ig5ioUVFhqO5uWnv9+9/3ifV5N7zsYu5OdlG8NxFeKsqK0xis6WpSSZOd3i6uqDkXtFLJZPsQw8a6k3Vi7cIL0MgPG6gv99Y+I4ySVSWFuOpCOhhb4AWd7+8Jyoywnhg+bk56O3pMuWVwQF+sLtzG+VlZeb5v4etZfbXmakppCbdNVUzRYV5GBzsk/NsRHhoCGxuXkfS3UQ8fbrw3Pexjz+S72MSll4ASysnRkbM7wsLk+Nu3UBkRBjGRkf2j9hj7zz7TFWQp5srUuSzR4eHMSSGQaxMfg6cBOU3dHe/vLKax7Jf0uJfXFw04Z+96/3C9bfmJn2L117DW7/wzoV+bXUF42OjxtVtethoLJOmxkY8bHzw0TSeN/9tqK9FTlYmfEQ0HO3sEMUnTLW0HCn0AzJ4o2WgUlB8vDyQmZEugtXw8+d9Co1ljGzNDx+iWETcS4TzlghluAhfr1jhm5tbZuETq0ucGU6R68U9gg6zvrYiE0ChmQgSY2MxOTpq/s6kKK/vnVs3ESP3oqu9/efBTuGenZ1FtUwmDIPwfQydrYoA0npOERG3vW0jf48yFTkUiwNYBllfW2PKGwPFMm96+MCEnJaWnhor/7acv5+PJ3pFeNcOeR+M21dVVBirnN/JiqANESBa+XV1NXCwv2OSsuwXh9na2kSj9IlQ8VQ83FzMhDQv1vuKiHalTESu4kE4iSfDRO2LzM7MoE68m/y8XJOrYEmnue6fUB+jpnCNw+zszP5VUd650E9PTaJC3NDEuFhEi1VCcWRsNFYs3Y+lMQHIf8NDg40leuPaFdy6IWIlA7NFrPTjhT5ChOEG7ERUfDw9EBke9vPnfQqNYQs2hmUo8hcvnDMCW1SYLwPziRFmCm9tTZWJabM9lIG7sy/YLDkceTyIpIQ4eIm1W3rvHnb3QyZceXqvqNDcE8bfGU45sMx5T1hzn5QQDx8Pd2RnZhqLl/A7KyvK4enuZryL/Nxc+axfwin0FJISE0zILUbuHz2zA3i/XZ0dYM+cQn7ucxU4T55MIyM9XcTaVe5zqFmcdWDxj4+Pws/Xy/QDhnaWRPwPzpWTTEV5GQJkUgkJCkBtdZWc61NzDbjIi/3sxrWrJuR0cBw/lyGuJplAQ4ICTejLS34nPQ5z3T+BPhYnHnW06AlDXdSXThF7ZY93LvSMrUaI9cakGa0ZDmQm3wKNtfRxtKAAf/Ovr1jydvI7mFhjVURYSBBajxX6fiP0NjIpsDmLZcZQw8HnfQrt52snv9vB7g6uXLpg/p9hCFqyhKESJrkZEmPcvDAvB4sL8+Y1WuVcIcpFRwyHsOLlAFbU9PZ2Iz42yiQwc7Izf74XDJFRzAPFsmbIp1ys3cNWOyugKA6O9rbG2mdlzgFtrS1mUvd0dzUx/bHRsf1X5J4O9BsRt7W5aUS1QzzVA8bHxpAQH2eOyxBRfnQoJ8PJLEEmK05yDCW1t7eZkBHhVgc5WRnmuqSnJKNfxgx/G2FNPhdsUehZrtkp30cvgr/zsUwCrApilc7VyxeN1c/+dfi6W3Oj58QxeePKJZMkZ7L+cCjtU+adC32zWDWssLhz64apOigQK6iosMBYYh9LY8iB/9JtpxXBhBytdE5gbS1HPxx8T+j3QguuTk5ihUTLZxT8/HmfQjv4rQV5ecjMSENqSpKpC2d8+zAbmxsokOtLCzsqIsyInYxaTIoIpiYnwcXJwXhDz9ei74qFuygiXgxPNxdjfQ8/fmyEkCENhtlYLcO/M05+OMlL4W2o5cpVNxNWYzhxWaxlhlkYcqGIcAUuvYvFQ+fK8ACrcfxk4nEXy/2gJHRzY1P6ehNCgoOkBaLxfj0WDiVduSdPdZV4LXIcJ3xWGDG+zEmOlj89XYZuaM0/nZ9/LmdQW8uwj/Q56Ud5uTkmRMTKHYYtKHicPJiQZmjwYGx9Cn2MyXiGuRzFgLhw9kczWerCsj3eudDfb2gQkXMwy847Wpulk86Z2uWPqXFTqoP/ZiKPg5KVFzGRkWhvPSEZGxUllqytqRThtXjx86y9HfxWJk9Z6kiBpegdFjLCvW6qqyvhI4LFShfGm/n+wcFHiI2Jhpf8jcJNK/YwrFjpaGs1FTUmcSqTxdCjfpkouk3pJgUwXzwE7h+zdeg+MSxCK55iTm8gMy0V3R3t6OnsRHZGhgmHsH59anL8OfHYkv+mgNNid3VxQnlZqZlAxsXqz0xPk/P0QFLSXbMo7HBykKtseQ6Z6anGi0hMiDerZ+nJHOR9+DuZLzgIWx3A7a0jw8NNMpe5DZaEUux5jXiteM2K7xVienr6petuzY2/keE7ltdeE08xI/WuTLgvV2x9irxzoW+or4O7DIiE2Ggj8h87M9OTxl32cncX6/6k8specJtiTgoJcbHi9uuDR46C17Czow3x0k+4CIr5nPq6OhGzUlPLzhLHzvZWM7hfZEQElBUyTNZSoO+J2DN5GyrWNSdYVjvRemb542H4WRkivCzZZIiHYZqC3Fzz3eGhoabvbmxYXnFbVV5uEqcMNzFOXllWbr7PQ/pFnkwQjKU/x+5eVc7D+w0mp+Dj5WUsfMbrGQJiviBNJo+RFypyCMXsgRznLYLOhWW0ZumhJN29C2/xRjihsa99qjDHcuv6VaSnJGJjzfLCuU+N9yL0jM0n300wcdOPHbNgKi3NLFM/ecGUCH10lAld0erQBVNHQwt/amLC1I9TdF2cHBEUEGBCE7RY7xXmizBbXo3K+vK6mhpEhAab1aiM5TN84unhbixnTgSWjmNZIks8WVnD76NHwImC32km8fb2I2O+rCIKCvATI8bFhHnY+L0Ue34mP9sSQ48emYmLYRh/Px8TS2dfiggLNcfNzLy88RmvDUNdyUmJuHXzmgkb8fx8fXz2wj0yWRy1YOxTICcrCzY3rolXlozN9V/yMJ8y70noXU052+Fk2MfKxPjEntCLq306odctEE4LLV4KISdFbhlw6fw5XL9yxcTQWdq6vW35OtPqZnVXXnYW7GxumWQ5V9pykVS2/O3JjOWyO963x4OPTMiFcd6L53+S42zMxEKvjWGjoxgaHDTGy52b13Huxx/MCta945LR3dlufoslpqem5bhEU7l18fxZs6cN8w/5udkYGx02O3tagmGgoqICU8PPxCtzRHdu3zIT2WM5l6M8D2uH14UVVbdF6LPSUrC1n8T+1HkPQl9vhJ6d+7Tbu37I6F43bxeGUxgbpxB+9fkfce77MwgRq5eVMC+uRH0Rrpa1v3Mb3339lamKCgr0N4lMxnOPYm1lGY374ZRvv/qTqQqiVV4rHgLLJY9iYWEedbXVcHG0Mztb8jvpCdTXVGJ2euqlOPsB/H2s0ecCsTNff4nP/vBbkyO431CHnf0qJEuwjzF8wxLdcz+cMed6/cplM5F9yg+d3xP6DCP02TIut0/Y3O5TQYX+NVGhf7swsVlVVWHqwr/4w+9wXkQtMS7GPFh9Z/v5GPuLsMbd3dUF33/7jbF4M8TCGx4alPtz3HbE3JZhAMFBATjzzVdG6FniyGQqSxuPgqWh4+NjpsT2cznPr//0hUnScy+bTVrXR4R8mBBm5U5uZjp++v5b/O43/2xi/W1tLfvvsAzDN6Ojj8VjuItLP/2IP/7mX822CqUlz5eNfmqo0FtGhf41UaF/u1BcmZSlgJ7/8XvY376FyvJSzIk4nlQjzTUbvN5cs8CtBOqqq7B6irzQ5OQkUlOTcUvEghNMafG9I+/pYVgHz5LGCyK83I44JSnJVNKchubGB7C1uYEfvvva1Oyz2uYk1taW8bCxwWz5cEYsej8vL7Q2N/9cj/8pokJvGRX610SF/u3CkMfM9DRK7xWJkMk1jo02WyQcLo08Cj4esLqyHJFhoWbDtJ6urhMnB8LQB+vXI8NDTAUM80oUkJPgfa+srDClkUyocp+eFzcsOwpOSmFclCUeCDd14942J8HfMjY2atYFsGQ5LysTk+JVfMqPGlSht4wK/WvyKkLPB2mwVI/lexQsS5tSKS+zxW0PhoZQX1NjNo07rcXKROb42IhZ/MSSx5knp9v7hInTsZERND9sNHsRsVb/pHwA4XuYsOUeNDVVVSb5zjLO0zAtk9L9+w2mvJIGwOIp4+wM0zQ1PTTPsB3s78X66sqRYaJPARV6y6jQvya/xqLnPix3E+PNJl7K6aAFT1F7lbAELV6KL1fGMtZ/GqucmOPk+8xx8p3cX+c0ngDfw/ce7BTJsNOLC8GOgufJB4//fNwrnCt/G0uVuWe+/GH/lU8TFXrLqNC/Jq8i9CzBy5D3hocFm60fGIJQFOXNoUJvGRX61+RVhH5qasrEe8vLiuV9LSahqCjKm0OF3jIq9K/Jqwg9XWzuPzI5MW62f9jQxRyK8kZRobeMCv1r8ipCryjK20WF3jIq9K+JCr2ifDio0FtGhf41UaFXlA8HFXrLqNC/Jir0ivLhoEJvGRX610SFXlE+HFToLaNC/5pQ6PmACD6IOS42Bm3HPGFKUZS3iwq9ZVToX5OxsTEkyW/hY+S4W2FL89HPjFUU5e2iQm8ZFfrXhIug8vNyzbM7M9LT0NPdpUKvKO8JFXrLqNC/JvwN/f19Zu9zblrG3QpPu7+JoihvFhV6y6jQvyYUdVrw3JTqNBtfKYry9lCht4wKvaIoVoMKvWVU6BVFsRpU6C2jQq8oitWgQm8ZFXpFUawGFXrLqNArimI1qNBbRoVeURSrQYXeMir0iqJYDSr0llGhVxTFalCht4wKvaIoVoMKvWVU6BVFsRpU6C2jQq8oitWgQm8ZFXpFUawGFXrLqNArimI1qNBbRoVeURSrQYXeMir0iqJYDSr0llGhVxTFalCht4wKvaIoVoMKvWVU6BVFsRpU6C2jQq8oitWgQm8ZFXpFUawGFXrLqNArimI1qNBbRoVeURSrQYXeMir0iqJYDSr0llGhVxTFalCht4wKvaIoVoMKvWVU6BVFsRpU6C2jQq8oitWgQm8ZFXpFUawGFXrLqNArimI1qNBbRoVeURSrQYXeMir0iqJYDSr0llGhVxTFalCht4wKvaIoVoMKvWVU6BVFsRpU6C2jQq8oitWgQm8ZFXpFUawGFXrLqNArimI1qNBbRoVeURSrQYXeMir0iqJYDSr0llGhVxTFalCht4wKvaIoVoMKvWVU6BVFsRpU6C2jQq8oitWgQm8ZFXpFUawGFXrLqNArimI1qNBbRoVeURSrQYXeMir0iqJYDSr0llGhVxTFalCht8wbFfrd/XYcKvSKorwtTif0u9jdWsTTJxOYGB3G2PgUJmaWsWTFc8IbFfqV7R082djG/OYOtnb2//gCKvSKorwtXhb6jf1XhF0xQ3dWsb0lAj/cjMaqeyjJy0HRvTIUV3egtW8G80sb2Jb3nWSwfmy8UaEfnZhEcc0D5FY0o6V3BguL2/uv/EJDfd2+0Ceo0CuK8kbZE/rMX4R+a1+D5O8700OYaqvEw6o0ZKREICIkEMEBfggOCkJwSDRiYjORV1yPpqEJTMohh6aIj543KvT9ne2ICQmBo1MwIlPuo2VwAZvy98OzY0NdHdxdXZCSnIR1jZ8pivKGycvJgY0IfUZKErY21+QvW9h9OobpmiyUR3gh2NMD7l4BCAqLRHRsLOKjwxEdEoAAd/m7qx+C0u6heGwG45svG6ofK29U6J/0t6Ek2hve12/B1TsBqU39eCQyv7L/OqmvrYWbiwvSZbZVFEV50xQVFsDm+lWkJsZha2VK/vIYSwOFqIp1h5+tM5w8khGTUYf6h21o7+xEV0cr2psaUJGbighXJ9jaecIzuRS1PRPY3TkiBv2R8UaFfmdhEDP3Y1HgfxPuzh7wudeAsrVdPDlk0t9vaICrsxNCg4PQ09WFkeFhjI6M7LVRbdq0afsVbV9DhoYGEREehkvnziI5LhJrUx3Ymi9DX4kXwt3uwM45BrF5/egY2Xopj/jsySBa8kMQaHcR1695IDqtHhOLG7CGuMMbFXpsjwOTWbifegfejo5wSapCzviuuED7rwstzc1wcXLAuR+/h93tm3C2t4Wbk6NY+U5wk9lUmzZt2l65UT9ER5zsbPH1F5/h689/j9S4MDztr8X8w3iUhNqI1rjBN6oELQOLWD6kST+zu4ClqSyUJF6G/dnzsPfKQOHAKka39l//iHmjQr+5Noz5/iTci7kBdztHeCXVoGRsF9OHLmpHexucRNz//m/+Cn/+//+3+C///v/Gf/tP/wF/+V/+H/zln2vT9nz7qz//j6b99//6n35u/H9L7/2l8XU57r/uN/MZlt6nzWqa6Md/+0//D/78P/w7/Lt/83/hX//hr5EZ74+5jkIM5vgh1uEWbJ3jkVjYi/lnllSerErrQn+DH0Kuf4+rN0PhVz6P5vm9Vz9m3qjQz451oS4rAEF2l+Do7Ivo0ma0y7VbPuQiUegdbG/jb//yv+I//Nn/F//+3/yf+I//9t/gP/+7P9OmzXL7939mDAK2/8xm6T0vtf33yrGmWXyPNmtq//Hf/ployv+FP/s//w/869//JfKTfPG0OxcdGe4IvHMHtp6FSKuaw9PDScPnoFCtYqQ5C4n2P+HGJW843x1H3dDJ64M+dN6o0Pe3NyPSxws2d1zhl1yCiqEJzMrfD+eu29taYW97B//wt/8D/11m4f8u1tbf/OWf43/+1V9I+6/atJn2t6b9hfQN+Vf6x9/8tz/HX//Ff9lr/+2/mNctHcdGI+Jv/pLH/oV5Hz/jr/k52sesuvG+s3/853///8Pnv/3fKM2Lx9JwLZqz/eBzxxZ2vhVIr13B7AlV3SPN5UhzuQCbC55wihhHdbcK/XN0d3QhPDIRXokFyO+fxcjG1nMiT1pbW+DkYI8vv/gjfvj2KxOrv3DuLC6d/0mbtp/bxf127scf8O1XX+CPv/0X/Paf/xFf/OH3OPv9dxaPOWgXz57B+TNf4rsvP8dXf5J/vzuDcz/tfZ6l92uznnbhpx9x5psvYX/nFhobG/DsyRBa8iLhb3sbdl5i0VcvYO5Yod8Soc9FstNPuHXRDy6xT1Dbr0L/HJNTT9DQ1IW63jEMr8Nitvph4wNTdePs5ICc7EyUFN9DaUkJyrRpO9TYJ9jycnMQHBSAG1evGIPA090NufK38rIylJUecWxBKoqT/BHp6woPjyBEx6ZKP9v7PEvv12YlTfpDaUkxigrzUVNdjYnpGazMz6AjLxphdjdh55qM1PJRLK4eVzI5jpGWCMTZfofrl0LgkfoUDSMq9M+xs7ODza1tbO7smmiXJbgylgumEuPjMD8/j83NTW3ajmxzc7O4V1QIF0cH3LpxzfQbltOtra1ZfL9pC4NY78hBfVoMEhIKUdc0iNUNC+/TZrVta2sLO7u72FicweOyeGR43ISLQxBiMpsw+mTlkD6JhG9tYHN9HetrM1hfrUJrhRMCb/6IW3ZxCK98hs65/bd+xLxRoT8N9XV7WyBkpKXKxPCxz5PK22ZDBmBBXp6x6H/64QxCAvzR2dkug/mYBeobk0BrJh7EBiMyUqz/9jGrWs6unJ6dtQUsdebgYZw9/O0d4RGQiZLGMUwfJGRXZrHY347uhw/woLYED8pDkRJ6HXbXbeASUYB7I2uYtoLO886F/mBTs5Sku1heXt7/q6JYZn5uDsl37+Lsme/w1eefwdXBXtz0YszOPNl/hwVm+rFZGo0ST0d4ekYjua4bY/Ln4xx2xUrZEUWfa8FEdQxSfBzgZOcN/+h7KG8axtjIKKZaKnE/ORyxPl7wdLgDj5s/4cZP53D2mg9C8u9jQDxBKyijf39Cr7tXKqdhfn4OGelpuHbpIs6f/QFBfr542FCP5cXF/XdYYLoXa/ciUeRmB1e3SMRXd2JInMejqqcVa2Yb2HqKZ4+bUZ8agjDnO3B18kRAWBySkxKRGuljysGvnfkW3/zut/jmN/+EP/7hO3x9MwTx5R2Y37EGmVehVz5wlpYWUVVRgQBfH7i7OCEjNQWjQ0PY2TpmAE73YbUkCkUeDnDziEZCTZcK/SfO5soSJtrr0JATg8xYP0SGeiMwwAM+HvZwvnMV1y9ewiWx5G9c/BGXL1/BNccgxBQ8RN/sBp7pythXR4VeeRXW1lbNnkjZGRmIjYo0YRuGc44tg1ChV15gd3dXxH4RSzODeDJYj7bGAtzLT0V6chyS4mMRl5CClIwsFMrfslPCERMRjujsWpT0r2PYCiLMKvTKB83W5iYmxsZQW1WJzLRU1NRUn9xvVOiVY1nC+vIYxkf60N/TiZ7uHvQMDGN4Ygozs2OYHGpBZ2M1app6cH9kE+PcGeEjR4Ve+aDZ3trCzPQ0HtTXmScHUegZzjkWFXrlRLalb21ic2MDGyy93ZL/39kRy38HO1vr2FhbwcrqOlY2xBOwgiy+Cr3yQUOhn33yBI0N9Uboq6ursLj4dP/VIxChXxOhv7cv9PEi9IMq9MonjAq98kFz2KLPykg/JPS0vrjIhZbXGja25f/3DgGeDGCt9HmL/rEKvfIJo0KvfNC8LPQ1WDJCv4KtjT70tNWipqYJXZNzWNo7BJh5hGfFUch1d4CrZwxSarswKUKvdfTKp4oKvfJB87LQ1+3H6JewvlqH4sww+PlEIrGiFd3P1rG6sYatkWYMZQUizskBzl5JyG3ox+LP5r6ifHqo0CsfNL8IfT2yTIy+FkvPaLtvYmO1BcWpgXC65QTH4GxkP+jH0FAvxhuzUR7lDC87V7gFFqCyZVzDNsonjQq98kGzvbX9s9DnZGWitvZA6LkX1SS6KpKR5O4ARzsfeAQnISM1EbmxXgjxsIObfyRi7nWga+TnoI6ifJKo0CsfNLToWUffUFOD/JxsPGhokH6zt4Jld3cNK/11eJQZggQfNzg6ucPD3Q3e7mLN+wYipqgSddOLmFl/8akIivJpoUKvfHDs7mxjc4NPM9gVod/A48FHqCorQ3FhATpaW7CycuhZcM8msD3QgK6qAuSKxZ+enoGMrDwUlteheWQC3PpMwzbKp44KvfLe4LL07e1ts3c49xDf2FjDs6V5jI8MYXCgF0+mxjE9OSpWfB2y09NQkJuDnq4OrK+v7X+CsCvW+uYqNlaWTDXOwtOneLoo/728irWtba20URRBhV55L6yvrWFsZATtYqHX19WiqrISZaXFyM/Nwt2EWMTHRCErI1Ws9HREhYfBz9vT/K2tpUkmB+vYUVBR3hUq9Mo7hVb86uoK+np7UJifh+jIcAQG+CHA3w8+Xp5wcXKA7e1bsLe1gYebC3w83eFkbwebG9fN7pX5ubmYnpoynoCiKKdDhV55pywtLqK1pdnsBe4tIu7q4igi74PoqEjERUchPDQYwYH+5t+E+BgkxsciNDjIPFD+9q0bcownCgvyzeMEFUU5HSr0yjuBzxPmE8Vam5sQFxNtrHMvEfq42GjzUOfW1lb09nSjq7MdHe2t6O7qwKOBHvT3dqLxPksrs8T6j4Cnuyu8PNyRn5eDqclJbGzoQwIV5SRU6JV3AhOlLS1NiBeRd3Nxhp+3F3Kzs0TYOzAzM4PllRUj2hsb6+Y5say62eYuguur5thJEfWhgQGTkPVwd4GbqzNyc7IwMjy8/w2KohyFCr3y1mFFDa31hLgYONvbwtfbEwV5+RgZm9h/B7C7uojFqVFMjDzG8OPH8toUJmbXsPSCwT4xOoKC/FwReie4i9iX3CvC04UFU7mjKIplVOiVtwoFeHpqEkUFeSZc4+bkgJysDAw9GvhZnHfWlzHe3oD63GRk3Y2VCSEWd1NykFHciYaeZSwcevAD9xCfnZ1BZkY6HGXSCAn0R/PDRjx9esLWxYryCaNCr7xVuAHZg/sNCAkKEGG2Q1xsAh719mNneQaYe4SxzvuoKilAUmQogr3cTZWNp4crPN094O4RgcDwfOQWN6FzcAxzZhHVHhR3T3c3ONjeRmZ6GsbHx/ZfURTlRVTolbfKxMQ40lNT4OrshOCgQNQ3PsTG8gJ257qwUBWHvFA3uLi4wsHdH37h8YhLSUdGegpSY0MR7uUI1zt34ODgjYi0YjwYn8XBUqnBgX4kJcbDydEe4eGh6Onp3n9FUZQXUaFX3iqDg48QERYq99wNRQW5mFkYArYHMdGRgbIQe3jecYSDdywScipR3dSF9r5BPBrsR39HI5qrk5CX7ARPx+tw8IpGQu0I+uaAjR1gcWHBLLYKEk+BlTi1VVXYWLWCh3sqyltAhV55q/T395k6+NCgEPR0tAI7Q1ifKUJ1pjt8nBzh5J+GtOpBjM6sYHP74Lmdu9K2sbMzjqez5agpikJ8XBZSysfRMg6sbu8tvHq2tIiU5CQ42dkiMyUZU6OjZhM0RVGeR4Veeav09vYg0N8PUZHRmBwdBtaG8KQxDim+NrBz9kFIwQO0zG3iaHlewOLsIwz2D6F/eBlTi8DW/kNEtrY2kZ+XC0cR+tDAALQ0NmqfUhQLqNArb5Xenh74+/kgOiYK05OPsTvTjd6sEITZ3YaLbxTy2gfMDpPPbT4mlv3O2io2VlewtrqKtbV1bGxtm8ng8PvW5D33igrhKp6Bl7sbSouLMTs7u/+qoigHqNArbxUKvZ+vD2JiQzE12YmNiQd4cNcfvrft4BFwFzU9w3hxbevGwizm+rsw1NaC7rZOdHcNYHB8BhOb2+a5sAdiz0mgpPieWYDl6eaG4qIizKjQK8pLqNArb5Wenl74+/oiLj4AM0/uY32yElV3feFx2wmegSmo6378QthmAzOD3WjKz0BhYgzSEuKRFJ+E1JxS5Lc8QufsM2xs70n95sYG7t0rgrNY9N4eHqgoK8P8/Lx5TVGUX1ChV94qvb19CPDzQ1ycL6Ynq8SiL0V9kh+8RejdApJQ2vkYfNT3LyzhcXcjCu/GIC7QF+EBXvDnlgceAfCMykPh/UdYWtl7lAj3pc/NyTYLp4IC/NF4/z6eLeljAxXlRVTolbdKf/8AgoOCEBLqic62fKz0FaA/IxDRjo5w9olDatMwRsRA/yX2vozp8QE8rKtGZXEeivPjkBjiCtc79rBxikRSQQueLK5ha3cbk5MTSIiPhYuTPTLS0zA2Omr2yVEU5XlU6JW3yuPHw4iJiYaHlztyMuIwWZuGhcIwFPk6wcU9GCFF7Wic3TGx9wN2draNtb62Oo35yTrU5wQjyNEBtg5hSCxswbAI/fzqMhru1yPA1xt+Pl5ofPDAbKnAsktFUZ5HhV55q3Ar4czMDLi4uSHQ1wutuTFYrorHwzhP+Dg5wykwGSkNA+jf2LHw2L9NYO0+WvL84G9jg1u3AxFf3I6elS30zkwiKeUuXBzsEBkWioGB/v1jFEV5ERV65a2y+PSp2esmLCwcrs6OSI/0QX9xLLrFSs8IcIS3iL1vTDLyOrvROzuDJ7OzmJ+fw8L8DObnWjHckozscLH+bzvByTcZqTIpPHiygIL7dfAWS97b3dU8iGRi4pedMBVFeR4VeuWtwi2KZ2dmUF5eDi9PD7g63EFmjD9678XgUUEYCsNc4OdmD89AHwRGhCIqKgJx0RGIjwxBTLgnQr0dxGp3gntwEhJqe1A8OIW8+43wCQqA7R0b6UfxGB0ZNo8nVBTFMir0yjthbGwMebm5cHVzh4ezA+4lBGCk8i76yxJRkhyK2GAv+Hq4wF1ec7G/DVd7G3i4yCTgG47QmBxk1najfHgGuc2tCBTvwPbmDQT5+6K1pWn/GxRFOQoVeuWdQMueT4nKyRGxd3GCh+Nt5CaGofdBCZ4MdmK4vxvtTY2oKi1GfnY6CvKyUVdbj57eIQyOPEH/+AxKHzyEf4SI/J3bCPD2Ql11JZ4uaN28opyECr3yTuGj/7KzMuEi1rqrqzNSkxPQ1tyIR48GMNDfh7aHjaitqkBNbQ06Ojvx+PFj8/fa6iqEhwTDycEOYcGB5v8X5nQVrKKcBhV65Z1yYNnn5+fDy8sTLk4OpjwyLDQEUZHhiJB/zW6X8m90VJRpocEB8HBzhpO9LWKiItDe+hBLi4vY3Xm5TkdRlJdRoVfeC+NjYygvK0WK9INwEXVPN1fcvnUT1y5fxPWrV3Dntg0cHexlInCEp7sLAgN8xfpPQltrCzbWNfGqKK+CCr3yXtje3sby8jIW5ucxNDCA8pIS+Pt64+qlC7h57Yr8tw9iY6KRkZaCivISdHW1Y2bmCdZ15auivDIq9MoHwcz0NHKyMnHH5qZY986oLC1GV2cnhgYfYVYEfmvrxT0uFUU5LSr0ygdDbU0NHB3sEBEahOmxEezsP21KUZTXQ4Ve+WCoq601Fn1URChWnukulIryplChVz4YKsvLcP3KJYSFBGFJtxtWlDeGCr3ywVBeUixCfxFhocEq9IryBlGhV947jMUvS1/Izc7CretXEBMdqUKvKG8QFXrlvbO+sY6hwUEkxMWaGH1KcpIRfkVR3gwq9Mp7Z2VlGe1tbYiKCIerk6N5PODKii6KUpQ3hQq98t5ZXn6G9tYWJMTGIMDXByXFxVhbXd1/VVGU10WFXnnvPHu2JELfitSku4iOjDD19LoCVlHeHCr0ynvn2dKe0GdlpJn4fNPDh9jY0JWwivKmUKFX3jtLS4tob2tBXk6WqbzpaG83u1wqivJmUKFX3jsHQl+Ql4vC/Dx0d3Wp0CvKG0SFXnnvHAh9Yb4IfUE+urtV6BXlTaJCr7x3DoQ+PzfXtM7ODhV6RXmDqNAr752DZGxuVhYy09PRyoeLaDJWUd4YKvTKe+dA6DNSU5EYH48H9+9reaWivEFU6JX3Drc74IKppIR4hIUEo7KiAmtra/uvKoryuqjQK++dleVlI/SxUZHw8nBHYWEBVnVlrKK8MVTolffOuljvjwb6kRgfC0d7W2SkpxnxVxTlzaBCr7x3+KDwxadPUZCbgzu3biA+NsbE7RVFeTOo0CsfDNVVlUboGcJZ1d0rFeWNoUKvfDDU19bAwc4W8XGxWFvRGL2ivCmsWug3NzewsLCAifExTEyMy/edLhzAUMJTOW58fBzjY2PyGfPY2traf/V41tc3MD8/b46bnJw8dVKRC4SePJmWcx3H06dPT71giE9nYthjUn7f5OSE+e/Tnuva2qocN2G+c3lpCdunPO5t8bDxATzd3RARHmYeRPIpblW8vr4m/WfO3M8nT56cuvqI/WVB+h37+dTUpHlC1670jZPY2d01/Y391fQ96fdbW6fre7w/E9J/ZuQ8t7dP33fYZ9nXJ+X71l/Rc1ta3DvXxcXF/b8op8GqhX5BBkzTw0ZkpKYgMzMdPd3d+68cD8W5rbUVmRnpSEtJRmPjfSyfMjn4ZPqJ+Y2pclxeXi6Gh4f3XzkeDurS0hJkZWSYc56dnTED4iQ4wDs72pHLDcGktbW2mEF+GgYf9SE7M0O+Mx3d7e0yiN7v4Onr7UVcTDT8fLyRl5ONxyL2nxoU6fqGWuRkZ6K8rMyI72l4+nQBDx/cN/ezsCAPvb09p5rwuTCtpblJ+rmMEekHrS3sP6frBwPyHZnSX0vv3ROxn5K/7O69cAI0voqLipCVlobBnh5aVvuvHM/21gaaH943yfqW5mbsyiSlnA6rFvpxseQz0lJx6/pV2N2+haryUumLJ3cOinqJdF6GEW5cu4L0tORTWxCPHj0yj8S7fuUS3Jwd0SRW6rEDQM5nY2PdiHVocBAc7e2QlJhw6oG6vb2JyopyuLs6w9nR3ggkJ4njMN7D9DTyZWKwtbkJ21s3kSMCMTYysv+O98Pc3Byamx4iPDQE3p7uqKmswM4prUtroa+vB/FxMXB0sENEWCh6u7r2XzkeGgrs6w52d+Dj5Ym6ulrsnEJAV2UM5mZlwubGddjb3kFhfr65D8fBxWy0qjNSk3H75g0Zzy6oq60Wb2B+/x1HwyeH0YjydHPF7WtXkSei/US8gpP6OsfkgFybmKhwU5mVLsYb+/CmrqA+FVYt9IOPBhAZHoZvvvwCZ898gyyxslfETT3WEpDXGHrJyszEhfM/4asvPkNYcKAJcZzGguAj8XxloP3ps9/j8oWfUFyYh5VlcaOPOJaD8YlYQ6Ul9+AqE8PFcz+JyHmY67R5QufnZy4/W0R+Xg5uXr+GCz+dNYnMkRF6EUefKy22B/cb4OftiR+/+wY/fPsNQoOCzK6R7xN6MAwH5GRnmYk5UQRvemJMfufJno21QG+O9//8Tz8aMWwUwd5aOz68wX7AUBcnyHM/fo87NrdQUnxvL6F9TJ/lcU9EsGNkjHz39Zc4d/YH8zwAhgCPgyGi8rJSuIhh8f23X0m/+xGx0VEY6O/ff4dleH9HR0eMRX75/Dl8+8Xn8HZ3w8P7D04M03Fioed5+9YNXL18AUH+vmi8fx+L4h0oJ2O1Qr8tlmBHeyv8fb3xxWd/ELH/HEG+PugQ1/So0j12fNZv9/f2Gqv8Jxk0f/jtv8JZrCvGjymQRwk2WVtdEcumBk4O9vijHPeDDILoyDD0iyVyVKyV1lF3dycSE+LMg7F/+O5b6cw3zUA6KXTDUEtPVwfiYqJw+eIFfPfN1/AVkWgWsVhZfnbkuc7OzsrkkAv7O7dloH4jg/wrExtvbWndf8f7pbqqSoT+tvFQyktLMDd/vIVpFci9onVdKb+X94X3xPa2DXIz0zE+/PjIvX+YT5qbmRXvp1I8SCd8+9WXuCbeZEryXQwPMc9x9CTB/tPc0ABPFyd88cffm74QFRWBPvEmmSuQk9p74wtMT00hScbv1UsX8cOZb3H2+zPGi6ClfhyM47e0NCPAz8cYF19+9kfjSRSL93zSM4L7ZRIJ9Pcz33VJDDBnGWPZWRkmzq+czHsT+pSku29x9aNY5XMzqK4oMyEAWirnf/rBDBzGIsdGR/ff9zwUVr5WXlKMsJAgXL96GWe+/Vo64zWkiqUzOPjoSPHd2tzA2Mhj5OfmGKH/QSzl8/K9DN8wDDQ3a1ms6JLW1FQhMMBPxM3GWPQ3pfPzAdkMFx0n9qNiufP7/H28cUuOOS8WPSelPHHFRx4PyTlZDnvQYmMOgaEpHscB6y7uNx/hR0E5bjJ7F3CbYoYtbG5eR3BgADo7O/dfsV625V6NilWelZoCW7HIz/34g7HMI8RKb6irM0l2S3CxWYd4kfEx0eY4egK8buy/DH3NTDN2bhnmj5i/YuiO/fXShXNyvf1RVVmO6cnJIxOsw48fIzIi3HiRDva2Zlx5iYFBI4eGy1F9dkMmDxowTjKBX75wHlcuXTDHZolgM6F71HGczJqbmuDu4oxL586a3+kofZdexKMTvAhlj/cm9Exyvq0dCk3Mu7NNxDnRCL2To52JebJjBgb4o5cJIAswds3Nte4mxBurg3FvO9vbpmMF+Pnivlg/R4VTmPi9X1eDuOhIuPE4scp4HFtSQsKRSTUmTpk8o0VNsWWM3laOjZFO3Nnedqxr2tPTbZKXPl4e5ngKtxNjuyIODxrqj1xdOjw4YI5zFQvQX7wcDzcXuIlVxxjvkExm77uGnZ5TXU21nJer+U1lYuWurlj3StlnMqnfF6GMkgmOMWiKvLOjA3w8PY33xRi8JVhJVlZSYvo54/M8lv2P/TczPQ1Djx7tv/Nl+CQv5oUotuyvPNbX2xMpd++iva3VYjhla3NdXms2njL7WnRUJMJCg024KV36z6OBgSMLF5YWF8zjIm1v34KLk6NJurPPx8VGybm0GQ/jRSODFUBPxIMozMuDo+0d8XZsECxGkaf02RAxAtrEQ9h9hYqfT5V3LvQUS3cR+lgRRJYvckOrFRnEq+JivnYTgWInGxZrNi8vBwH+vkag6WayE1LQaBU01NeJYG/SW34OCj2tWlqRB8dlZmbIYAiW41zM049YkmiJ8bFRZGekmwEQEhxoYp0J8XGmQ4eHBJtzehGWMzL2mCLfw7g+Jxge5y/f7evtZRKkw0MvH8eyOVpy9XW1MshCECPuNqs0UpISZfB4iei7Ij8/F4svhKh2dnewtvwMzffrERIUaFqB/Kb01GQzUINlEqwoL7MoKhyAHHS8xgx9LcvnWLwHb6Axp8GQVKhcR7r2nJT6xMpfEquW4sNm6biPsTFkwRAmK8LSxfgJlHvPvsfJmvfHSyZwEzefsBw3n3kyLd5Zkunb0dIPMkVIE+NiEST3Mi4mBl2dHfvvfB4mMasrK81EEhQYiDQZH/Gx0Ubog/zZD8rN2DwMLeupyXEUFeTIeHAy51ddVYF7hQVmrAXJuCkvLbXYfxgK6uvpQmRYiAnJMXRbVJhvPLdAObaQFWrS1/kdh+FExmoijiEnMYJi5TeWFBUa/QiQiaKsuAjzsyzvfDnxTO9icfGpMRzYby1d/4+iiT5Sd3Z3XvyNp/e837nQP2xsNJYkreViuUktzQ+N5dotHbJbBvevbRSGro52UyrGjhccFABX6YzRkRHG7WOiKFGElC4fBwPDFxT2w2xsrIn1WGzijRHhoWiUDjY6OoqS4mIj9Eki3OxUlnj0aMAs3adgZ8qgYZyzXX5XcFCQiL8XerufH3AUTia1mBSloDGR9uBBg/yWTlPmxs29wsVSYrnki1DkGZqhxUZXmwNmaOiR/P423I2PNUmypLsJmJPPPww9nSE5z6z0VHjLeaaJ287zphcTHRluvAKGdB6La/4iDLNNyKRES4/n3NLSJOIk172786V78aua3P8e9oHOdtOqKspMSOrqxYvyexzknNNMBVOviAWbxc/4yBpFmH3k4YMHyJJJnQJPkeV2zQwfsh+xP8WJdzdqoUx3RyxZ5n9oUfuJgVFfW42x4SE00DOICDc7gVIkxeTdP2IPTtiT42NIS042XlO+TPZM5jbU1xoLn/0gLzfX1NcfhgYZ7z3DQvQAmTRncpXjLiZyb0O6dDn3keGXq7dGhh8bw4WhTBpSzTJOB8XbYDmxt4cHYuV4lky+OCZZbkojjSFJPzF+uKiOn1UsYs9rw5AVN8R7cVLi+Hr0qB/V1RXGsOuUPtXTKX31NXXmfbTOjlbRjy7MzU7v/zpCkWcehYbnydVV71zoWVXARArjgV7iblJgEuJixJqNw93EX9+S7saZKo1IEWg3sdpZFskwSFZ6urEwKI7lYq1SNOjW1kunPlxvzjDSxPioiF/ynjUtnZiLOggHIy1efx9PtDx8YKyMA7ZksDF+yvgkBwkHWFtLCzbEmmD1TmJigpnUSosLMTc387PlwX/Z0SnWtMBp/Y+MDhvLg9UvrBby9HAzEw/P/TBzszOora40AyZI3FhOECyzpCVcXVFuyt040TG0czgPwoFKLyBEXvOQ7ywuvmd+CxfJVFJYfX3MYqXe3t79I36BoaeSoiJjaQb5+yEyIkyuebyZUCzdj1ducv+T2AekMRHOa8mE7PmzZ3Hx/Dm4imfEa5KSlIBkaRY/4yNq7K/8NzYmyoQgHGzvwObmDfHOotDR2oZRmWw5sVGs6Wk1i4FEb/WgAolCxtr1UjGWaM2Hi2XMyZ8CMD0xbipUmLzMz83Gk6mJ58KkLINkmDFA7jdFneLN+Pj09JQIfI4xdO5Kv2UO6HDZI3NGNEI4flmJ1iGTPq3mmeknKMzNk/HhI5Z2tEz+XS8t1mIxA8eQg+1tU+s/OzNjxLmqskIE28scW1Nd/dKiPW52xwnQXo5j6fC0CD+9kQcNDaa/8lxL7olVfyhhf1D+mZ1Jg8nVjPcEMYC4Dfbr6sy7bBxf/DdBPK2UxHhUlBWb0OrSEkNjfF7DqNxurjU5uajlnQo9O+n9hnpzs3/8/jsTG6SY+Yi76CvW2+s0hkwYp6RbyKqDizKRMHZdW12FNRFPdqA26ZghIiD2dnfkAsabOvsDZqTj1dZUG/EMDggwnseBKPf19ZoBx/PmDov8/wMYwqCVmxAXJxOEt3kU3kHijC45Bw6FnlY7f/tBdQE/m1YNJwYKPQcQBxqhm8a4LMst78oEwEG/ufGLpTMsFg2tcXcZ4HR9WdK5x66pGKJIcrLjd48csgTpxtLb4XXhRMDJjtVAHORjYyOIkw7FwU8P6EVY306L6vqVyybv4CaTCQcam6X78WsaY7Z7/+0l/cLd5FVu29w0jQluL+krvM+0Xl889mNr5jdIo0XNKptLMpndun7NGBiMVVPMGK7hmgpOyhnihdH74mpvwv5D75X3n/eaRQYUQUJxpmhSINnvWON+eG0Fw4gM8zHGzv7O/ks4Rpj4pnfJ/vHgfr1ZiHXA9PS0meA5DgqyMzA/s+fdmoSwGDexMkmFyjihZ7FsFl39ElooFaOC/cZHxJ5VYTSEeBy/Ozo83Fj1rL45bNQwVPFQJiEnB1sztvtl3JmJRz6WfZ6TIicPPpVsanLvtxN6AaXGC3cyFTp3bt00E4K/9Cv2LUv340NsfvtjixM5DVSG8dLEY+rvF497hxrTCGxWyH8fnXA/4J0K/fr6KirLS2F/+yauXb5oxDMrKxMFBfkoLCh4vSYCxkqVZBkY4SJ0ocEBxpphiRlr1dkopKwvtr1jIxfP2YQdDhgcHDJhCw6a6IiI52qCOeDycrLEqrCRicTOWO8HcHEJxdPL3d10JpYGHiSUaFm0ikBGyu90tLttYqlLh7yBapmEAsTqYqyTE9JhV7muttbkEzgwqioqxIqf3X8F0uH7zGCk+8zk1uH4P1fmGldXOgYTz40PuGBrjzkZmKwe8hPPpCCfq3ZlAtl3lRkL5GTDTsVKHlZB8DVOAvPyG2kdsZqDCTFOPrnyHl5z0yzdjzfSpF/I5xeIJ1EkIlB8r1Bcdkvv+wjb/rVjiSAtNtaFR4uI0vI94MBQYHLVTMzijfE+EfaxIjmeYVB6xRTMw32LQhgSFCQC4YiU5GRzrw/o6uo0k6qzCGhedibGxZM8gFsa0KOi8ZGVmWbCJJxU6A1ysue5uDjZo0m8yIPFbDwXJkyzMzPhL9ZzemoSBgf6TKiQx85Iv0uUPsOFi8wfzMiEsbuza6rCTKJV7jO9aMbtx0ZHTGiJfY9bl7Bo4/aNa8abO2y1T45PiIVbZoya2JhoE+I4iGHTkw0NCTIaw0q2mKhIk4sy/elNaM27avtj626CTPaurrh59aoIvy+amkW3NkUP1svEPcsANk5e6PhOhf7Z4gLuicDYidB7SUe6X19nwiPs0G+iMQQxJu5mT0eHuL8tRgAPhy7Y6RiLpGVoc+OqCChr1fc6By2ZqMgIYyFkZ2Q8V4LJcArzCAFigd28fsUI4YFryj1JKJ6cINgZW1uaf/5MDoA5Ecx7MuFwcmPIhHuRUDxp2TM2yhmb1S5c7n94lR8rIpiAokvPjkxrjvAzmx7uWdcUh4cy4BYPWV1Li0umsokhHVrBBXl55hrwO7lk/SDJx/AQraODSYmW/T0RVA5kEw4S15hhHSY+25qbERLob6o6MtNSMCHXxtL1f5ONnhJDFSvLK1g1/77w2qH3fsxtfm5WjJFHaG9pQntrs+kfB7CPUNxpldOIoLDzGML7nBAfbyb08tJiU7rIe3wA+znj5W4uLgiXftmzX2nG+83PdGII09cT3R2t2Di0IIvjkVtpeIvXR+ud1TDsGxTg5KS7uCWiS69qoL9v/4g92MeYyKenwlBJTXWl8Ux4D++LZ0CLnKFUVgj9HJ6RczGeiXgDwdInmZQ13oD0Ox7H3UwPPB6Gew4bQuy7HDMsmKBXUiZGwMLcjPEUasUQo2dPz4MhLBptL173j6mxSpCVUM4ODDuL8dbUjt0N8dCWSsTNSpfBe/I2K+9U6JcXn6KQoicWNa2QA1fzTbMhHZPhmgM39zBzMrDo7l6V2Z7VKo/F4ufqUiZeGdbh31rEcuHmSQdwcDCuydp/1tZT0LldwLpYV4+kw0fJgOAEUXKvQH7TxHMDbkc6ZEvjfTiJSNIFZdkgByEXl0RFRhr3rFbcbIoZO/4BtKi5HwiTxyxBYzKJ0C2lG09LjlU6ExNjz8U1aQnRc6F1TpeVoSHmArhalgksJsw4ob24loAx3Pq6OmNZMR7KgUULignj/OxsE5flaya5985ZlxNcxOraFtZ+uURWAy3RNbGYOZntLVTaw1i1IvysSKHQc18Z5pVWV1aNp8bqNfYDFjS8CMOHxqqXPk1jgtb4+ho3IRtHiljJLN+kJzH3QnEBK1ToVVDkaZ0zfr8q44m1+gynXbtyGbFyHCvmDkPhffjwgTFmKLL0rml4MT+WnHwXdndu7YeJDsKMv8CSTFYMubk4ym9MNZMf8wGsNmKujeWUHJOHjTbCvpkrfZPXJiEmynjP9HYPJiTm6x6zkufQ+PgY4e9kKIpeWHBQ8C9CvyZCP58mw+MDE/p1uVEsjWJskDFyzlbvGsap88XKpbXLxR4MSXSJVXOvMN+EOgrycjA3I67lC8vuKfZVYmE4Ozka672oIA/9PV2oE8slUAYEQyksH2MlxIvQ+mHZ2i3xBqJFeHOzssxDsL08PEx5pKWtB3a2d8xiEN5cxjZp3XBvDyavmNOgpVNaUvxS5yc8V1r1nCSYmC0Sd5WuKwc9V09yILxY18+ByvPk4KK7y8mQA5DWBD0LlonSOuLAeadsP8XmcANG6gtQVf0QDX1zmBMttEK9twjvZYcYBUysxsfFYUiuf1d7h9mywubGDXOfDueMDuBxnBQYjmRfKRGLl3vFMHTJIgjGfBlyfHHFtqnImRw3Qs2Jvaiw0OR5mHuyuXnTGB0VFeUvVXTRMueWI+wjzElxq2l6ocxD8ftYo8+wCZOkL8IQDccdS4OjxADs7OwwVjgnBi5WzBPjcHbm5QVVnAw4BpiLYG6JhhjDRzRmuFUCf9+Lx3yMMHFdKdeck2hoSKhMqG3Y3ZbrvytG13qxXPzjt6wg71ToGSenYFFs3u7K2KPZ3FgX8epFfEyMSSw6iqWdfDfBWL6sX68Ri5vbJ1iCG41xgQiTuQz/8LiE+Bjz30xucc8aS9CKYsfnBmIsE2M8n4OPFQ8UVkvlaIQWEY9jki5arH/mMpjXoLvO82Vc9qiOzMoHlidStJkwpcfByY0TDj2FOek8h6EwMFTDBB/vD68LBworHThh0LWmtbQslue7QyzclSZ0lfgh0f0qHFz84JvZiOqRdcxsS3/af5e1wxAF7zv7J8seYyIicOXCebjI/azgFhGH8jeHoUdAcXWXvsYyY26LQBHkgiWG8Nh/ti30H8bWWThAIyM8LMwkiDkxcNU2Y+ZTU1PPVfGQvf7zDJ3t7SY0yD5Or5CW+pVL5004hxUjlrYCYYiqr6fbrCehdc4yaE5Q3GSNeSqGQ00S9gVWRD8axfvgmPSQsUQPh2OKW4iwD3PNjjVAoaeBxxBeaEiIeFzcuZPaKQK/2y/t+fUylninQk/e1V43x8H4X83+04zOfPPVXocSS4UVA9ym9ShYuVBTXWWqXc7++J1xK1kRwZh2RVmJEUpLsHKBtbyckRkyMvvZ3LxhQih0jZnstMTa+jqK7xUZgaZg8zz5nRRtLiWfmnw+THSYAyvJQ6wrLjfnd/L3shyyu7MTR62aZWUFrUUKCTc985bfx+9klY+lQfr2kN+1MYzFx6koCL+Im9/+Bl9+8xPO+6Qiqm4C3Qtb2PlEzHpawRS/vfUnLiK4Z/G99NsYmexZX29JBAnFeK/fBRov9Ob1q6a/O9jamCoYhvgo0JagJ8fJhX2PsXXuoXP14gXzecfBvsyxTbHlVgfXpe+c+/GMMYosrbQ9gKHLyrJy4zmyao6hF/Y7JlLHLHgBhBMZk8zMLfmI98EyXG4dwRXwXFB11Ar4jw2GcX+26IODTUXgrlkbwbHPa7qXEzyOdy70nGXft9DLVTILmliuxN0puesjSxlTU5PNfjZHwY7F5Gt4WDA+/8Nv8fkff286c0ZaMvrl8yzlBAgHIvfg5lYH3CjtH/7ub83+Msyo8+/8XEvQHabVxbAQKwi+/tPn+P7br02OYGho8CWr6jAsUxsbHkR8dAS+/vwz/OPf/U8j9Kzu4XXnZ1uCCa+UpCRzflcunJPvvWCSsGUykR11zFthR67JZDMmygKR4nYR1898jR9/PIdLTsHwTr2Phr5ZbG1/GkrPTejuFRUaa5X35YvPfm+sa4bkWNl1FLxftKK52IyrSrlx2b/+0z/I57iYMN1R/ZWMjY0iPSXFeHMcH19JH6JVz+20j4NJ8oK8XFPZdlH6z1np77dvXUdJcdGRE9IBjQ8ajbfKnV+//eoL0+9o6HCMWIKT1Oraqniv3UYAOZZ//9t/hZ18d4UYQszHWQPPC32QyaEcNUEfxSdp0ROGU7gpEnfDO/fD98YqZzLpcAmXJdbX1pEqLvCXn/0Bv/2XfzbxyPv1tVhcXJCLf3wwgQlfDpq/+e9/KZb9JZP8PA5a64zLcwdHWxHp3/7zPxqLjNb1afbH3xWxLMjNwteffYa/+x9/ZaoQThqovCeV5eUiDLb47us/GaHnwo2fa5jfETtb21hsK8fDKGdEONyG8217eDoyMe0Fr5BMFDU+wrxcn+OvuHXAEAUNE5Y9cnvfL7/4o7HQLa13eJ5dU/nSzMVKMkn89p//Cb/55/8thkPQiSLICZ8rVekN0Er+6Yczpt6dcfjjYIUahYgVNBdkMuLGZSxwYCjxpP7DSjOWE3/2+9/gu2/+ZMI+AwP9J3qS3E2TK2T/9Pkf8bvf/Av8fL3MeTLfYA2o0L8GdDG5qyTjnLdvXDcPMmDnPylDTyuaGXAmwjhJMNzDpNNpkj7t0pHpmn779ZemTpmxx5Pg4KD1zmTTt19+YSppykpLTfjpNDAnwhg/v5OTGQX7OPj7KCqs6b5w7gdwvQGXYHOwvWrneh0211fQU5GNZE87eLp6Izg0BtmxAUgO8oC/XzQSK1rQvb6J012Fjxv2LV5/hhtZanhNjASOn8eH1k8cBY9lGI9bFPx45juzIj0rM/3I3TAPoDfA8clSYrN+Qiz74sICMTyOX5zD47juhAUH3CiN6zLqasSLPGGLbzI4OGjq7S+eP4tbt66hsrLCeCwnHccYNr+PoSlu182xzOoha0GF/jVgvJBljqwm4MM66mpqThWaoPAODAygID/frASk+8wFIaeBJY6F+bny2+PlxpVarECwBCuFmNjiyr6crExTLnmcy34YPp6Pi6qSEuPMtgkH2zocBb0S5hRYB03LiNY8t254tyxhc7UbNTlh8HFyhWtYAbJr2jHQnIfmbB9EBfgjILUKxcNrGH+XaYP3zN4EHG480YPdHk/Ds6VnJiYfERYC7vPEKq/j4uWHYVlmVHgoMtJSzD5JBwu2joO17CzH5GZ03KiNNfingWWE/D7+PpZwnmSUHMBwEfeI4qTE82xtaXq3Yca3jAr9a8ALRdEeHx01S7If9Q+cqnPwOMbUGTdkXH5AOuNRSdgXYZ301MSYuJrjWFlZOtGVPYCrErm5GbceprXE4057o7keYGJsBE8mx7DybFF+48nfSbFniR07V0ND3al/3xtjdwgrU6nIi70D2zvecIlvQmnvE0yPVKO3xBvR3o6w905HdOkUuiZfrcN/zLAklusw2BdYqXLaPsB8zUB/DzrbW41Fzv572mO5zoSbpLGfv8pxtLK55oL7PnEB1Gmg98G+zs3eKGYHW4KcBI/jYkNuFT45Pir/zp76PD8GVOjfABR3WrDcevc04ZfDsHNRvE8bCzQx/BPi+Jbg59PaObwC9rT82u/kNs7MD9ADOCpZ/LbYnWvFVI0HYp2/x7nz9rjpn4Pk8gbUV6fhXpwtvGwu4NxVX7hE30dj3/EhCGuClVLclvi0D38/gH2cYvtr9vTnJM9S3KO25z4KGiPMd7FE+GCl+Gmh18D+flqv43l2zQI0a0KFXrEy2Hk38Ky3DA/DbsDr3Dc488MNXLb3gX94GKLCfRHscg1257/Hme+v44ZHEoqbBs0+fq8+lSnKx4EKvWJlULIf4/H9WKTan4PtD+dw5ZY7nLwDERYeIkIfjDAfZ3jfvoIrP1zAlTv+iKluQ6/0ee1JirWiQq9YF9uzotjlaMp1gc/NS3Bw9EFEWhFy75Wbjl5dKf8WZ6M4PRihLjdxx8YFLmnVyJvawoR1VNIpykuo0CvWxdIg0BaLssDrsLdxRmBKMZrGn2DyySxmZ2bNUv/ZmRHMTFSiOssL/vZ3YOOViciqOfTPvlrHV5SPBRV6xapYedyI4Xh7RFy5gOsOCUipe4yX047s4BOYbEpCjvsN3LnoBeeQejT0PcW7W85lxexsgDuFri8vY3EZWD/pou6uYGdrFcvbu1a5s+iHgAq9YlVMd9WizN8Grlft4BBcg7KOpSN2qdzERl812qNcEXDdDs4+6ahoHzVP0FRek82noiwdmOrrREvnAgYmgK2jMt2rc8CTHjyZHcbA2haesMBr/yXlzaFCr1gV86MDaCrOQk7mPdyrn8DQ1DFlcrNjWHhYhvqcbBSV1KF7dNqkcpXXZH0aGCxCT2EcEhOKkVwyjq5J4NnhHMiOmPmzj/GssQgdhUkoaWpAzfI6RkV7VOjfPCr0ilWxvbmBVfMkqRWsrG1j67hy6J1t7K6vYk3ev7Kyig0uItt/SXkN1mdF6IvRleaBEGdn2PsUIL5yCT2Ht8Z5Ooat+ky0hrgh0lPE514tqlbXcfyaa+XXokKvKMqbZXsFmBvAeOVdZHvchMNlEfvgSuT0zWPvUSPzWO+7h/ZYF0TecYaTVwHiah5jYGMLJ2+OoPwaVOg/CraxvbOO1dVls/qWqxpfbLwOz1bWsLrO9+4fpijvi90drI/34VF+FBLtbsDWxgt+hffRMD+N+el6DBT6INbtDhzckhCZP42mEXm/dS1G/aBQof/gYe+fxeJSF5ofVqG48B6K7xWjrKzUPDikvLxM/i1DRUUlquua0dQ5jolZjTQrHwCba1gbb0ZDkj/8ba7D3jMUIRm5KEgLRrrfbbg6+sIvoR6NjzbxlFlwjZu9NVToP3hkBGx3Y6w/FQnhnrC/7QxXDz8EhIaaJ/NHRoQiMiwYESGBCAuNQnRiEYprevF4Qqz8tW25mfsfoyjvhWVM9YoxEukI7xtXcOWn67jx00U42DrDM74Q91rHpZ9qUevbRoX+g0d+33ItHlX7wM/mMn78wQZ3PEMQkpiMu0nJSE+5i9S70UiKCkC4jxu8Xb3gE5SKlKJOdD5ewuYn8gQl5cNla7kLUzVBSHL4Hj/+8+/w+//9NS46hyC8qRftyxvis2offduo0H/wLAELpejLdYLHhQv44bIXPLLKkN/Sjua2dnS1t6K99QFaGipQnp2IGG8nsfrd4BSQh+L7o1jd0IC98p5ZG8LygwjkuHyHs//4T/iXv/8TzrrEIqJzDt1izGto/u2jQv/Bsy/0Oc5wv3AN553jEN47irbVNSyvrZmtX9dWV7C6vIjJ/laUJQTC87Yt7rjEIae8GyvqFivvmbXhFvSn+SLB9jyufPMdznzxHS7dCYZnzigqhsVh1S761lGh/+ARoV8sQ1++Kzwv2+CyXxbi5rcg4+MFNrE91oy6u35wv2GDmw6RyCzpUKFX3h+b68D0I4wUJCLT3Q4+Tm5w8/CHr4MN3G/Zw84jH5Gl4+hcZCRfeZuo0H/wiNAvlWGgyBU+V6/jgksCgrrH0by+jmVp6xsb2Fh/hs0nHRivSUR2oAMcbrvAMTAL9+4PYW1DHWPlfbADzA5iuSoFZV528LjtDK+IbGSU1KEq+y4yfRzgessVDuH5SOmeQ//WroZw3iIq9B888vsWyzFY7Arfq+dw5qwtbMLiEJ6ViSxpeTk5yM/LRkFaNFJDXBHo6gSv0Hgk1nSiY3IRW5qMVd45G2LNj2CxMwcNkU7wu3EHdu53kVLeh8GpecyMDqCrJBUxLrdhc9sV7imVKB15YhZTaW99O6jQf/DI73tagUf3XOB95Qd8/fl5XLBxhrOvD/x93eHnZgen29dw/eo1XL3pBEfvONwtbUbbwjKeyn3UgaO8W3awvTmJlceFaMryQLCrPexcYhCd047O4eX9/riLp5P9qM8IRrD9VTg4+SE0rx4PZpaxsKE99m2gQv/Bs2SEfqDQGZ6XzuPbs+6wiy1CekMDauuKUJrij0D7C7j44w/4/qoPnCIfoLRzGfO6C6DyXljF8kwLOgqDEONmAzunEISmNphS32eHtgbd2X6KuYECVCTYwevOTdwSiz+y7DG6Jja0374FVOg/eJiMLUdfvjPcL13DWfskBLcvoEde2RZrf2n4AeqzIxHsZINbN33hFPYA+S0rmBbvWWOeyrtnGUvTbWgqSMLdsDjEptbgQfcTC9sUi+pv9mGyMxuFSdJ/w3MQXzSIzpF1Ffq3gAr9B89eMravwAXul2/ggnsaYkaeYXD/VWwuYm6oA9WpEQiyd4CtYxSC8trQML+OOXlZB43ybtnC5uo8ZseH8XhgGMPjC1hcsVT5ReVfxdbKFJ6MDWFgYAyDY8+wsKzmydtAhf6DR4T+WSl6813gIUJ/0TMZseOz6JNXfjaSttbwpLccpQkucBM3+KZPHCIa+tE1vypKr1KvKJ86KvQfPCL0y+XoK3KD59VbuOKVgkQR+gF55RfbZxvb6/0Y7kxEaqgt7tg4wzE0F8VNw1jdVAtJUT51VOg/eOT3bVSjv84Hvnb2uO2XjqyxWYzKK7+EPflfi1hfakJvWTgSXG3haO+H8PwGdK5s4OnemxRF+URRof/gYfilDSMDqUiKiURkShkanjy1UHMs/7c5i62hanRlRyAxNAyRJbWoWF7HxP47FEX5NFGh/+BhImsGS0t96OnqQEfvCKZW1i0/23RXLPvVJ1gZbkdv60M8HHyM3o0tLOy/rCjKp4kK/UcBb8iuuTGnuznyvp0d7Mh7GdR5tdupKIq1oUKvKIpi5ajQK4qiWDkq9IqiKFaOCr2iKIqVo0KvKIpi5ajQK4qiWDkq9IqiKFaOCr2iKIqVo0KvKIpi5ajQK4qiWDkq9IqiKFaOCr2iKIqVo0KvYGdnB/PzcxgZGcbY6CgWFuaxubW5/6qiKB87KvQKNjY20NbagqyMdORmZaG9rRVLS0v7ryqK8rGjQq9gbW0NVZUVCPDzRZC/HyrKSjE3N7v/qqIoHzsq9ArWReirq6qM0Pv7+qCk+B5mZ2b2X1UU5WNHhV4xFn1NdTUCxZr38/VGcXGRCr2iWBEq9MovQh/gD38/sehL1KJXFGtChV5RoVcUK0eFXlGhVxQrR4VeUaFXFCtHhV5RoVcUK0eFXnklod/Z2cbmxio211ews721/1dFUT5kVOiVVxL61dVVDPT3oPlhA/p6ezA3N4etLRV8RfmQUaFXXknoFxYWUHKvEJHhocjOzECviP36+vr+q4qifIio0CuvJPS04Lknjpe7G+Jio9HW1mqsfEVRPlxU6JVXEvr5+Xnk5WSbrRKS7iago6PdHK8oyoeLCr3yykKfn5tj9sVJkuvf2dGhQq8oHzgq9IoKvaJYOSr0igq9olg5KvSKVQo9H5wyNjaG0dERk0Dmw1VOw/r6Gp5MT0ubwurKsgyGnf1XToZP5pqW47jt86vAqqXpqSlzbU+FDNBN+T1PFxYwMTFhzve0lU8bG+vme6YmJ809Xl1d2X9FsWZU6BWrFHqWfWakpyEl6S7u19dhbvZ0D1J58mQaZaUlKMzPRV9XJ1aeLRlhPQlOEPfvN6CwIB+Djwb2/3o6+P7C/Hxz/GkEe2d7G09kYrjfUI/M9HQ531IzkE/DzMwTc1xedhYqysowOjK8/4pizajQK1Yp9LW11bhjcxOXL5zH3YQ4jAyfTtD43Fzuy3/75jWkJSXi8eCAEdbj4IKxMfEcYqMj4exgZ6qSOGFsbh7/3N319Q2Mj4+JWKfC0c4WCbHRYmlPYHfneC9iSz63o60N4SEhuHLxgnkq2Gl/39DQIOJiomFz4xr8vL3Q0ty0/4pizajQK1Yl9Oy8FNhcEdsz33yF3//mX+Dn44Xenu79d1iGx22LoLe1tsLm5nX89l/+Cfa2d9BQV3viyl8+WL1KBpGD7W38IN/p4eoifbTuxOfucvEZvQe727fw7Vd/gruzowzA+1imF3EMDNvQGr92+SL++R/+Dndu3URHe7s5/+Pgb+TzgF3le373r/+Ei+fOorT43onHKR8/KvSKVQn906eL5pxCggLxzZdfGMF2cXIwHXtz8+g4PWP4j4eGkJGWhgsigP/4v/4O58/+iOKiQmyfYGH39fUiKjIcF8//ZL6TXkRaSvKJ4ZSpqUnEREXizNdf4avP/4hb164iXY4bfvx4/x2W2ZaJJzc7y3zXP/zPv8bVSxfMPRkbGz3Si2CuYVkmHg72W9ev4n/9z7/BN3/6HEni7UyLF0EvQbFePnqhX15e3v+r8mv5tULP6/+hCf1jEcnEhHixkm2MAP704/dwcrBDQUEuJifGjEhaggZDcVGRWLtOuH7lMs5+/x2uXDyP9NQUY7EfdRypE6vfydEet8UTcHa0w81rVxAcGICB/n6LYRgOMAprZ2cHPN1ccfGns3CR412cHM11bXr4cP+dL0Pv4okM2oS4GPx45ht8/903uGNzS47zQ3VVJVZWLCdX19ZW0d/bg5SkRNy6cQ1/+uwP8hu/hb+PJ+prqkwiWbFePlKhr4O7uMd7Qq9VA6/LntBXidD77Qn9MQ8H/0XofZCcmIDO9g9rZSxDGG4ue2Lt7eEODzcXuDg7IiI8RAS5Riz+hf13Ps/83ByiIyLM5OApx/h6e8LB7o4ZFI0P7mN21vL1IIWFBbh5/QoiQgJQUpgLP28PuMmEUVtdiWeLT401fRiK/OT4uEmIMlbO7ystKTITFCea8rKy/Xe+zNT0lHmQO8/P5tZ1+Mi/vGcOdrYi4klYePp0/53PMyfnX3KvSITdG472drCVidDuzi357ztIjIs1sXvFeqFxUFFeZgyQj0bo6+vqZCA5464MjOVlDd28LrzhFMEAfxF639MJvb+Pl1z/WHR1tJ+YrHxXcMJhzJkWNS1kVs4USAsK9IebqxNSU5NNGeNh+Nt5XHdXF9xdnOXYyyY5Wl5WgrDQEJk09vrZQH/f/hG/wHAPLaUEEUpbm5soLczD2ONHSEu+ayaJu4lxGOjrMSWNh2FJ40OZPCi6169cMpVBE+NjxiJ3le9LTUk2JaGWQk30AsLDQsRzsEdkRBgqKyuQk5MNBxFvegP9cp78vhcH8fjYuEnCMj4fExWBvLxcpKelyCToBC+ZENtaW/bfqVgjNGSY12GhAcOaH4nQ1xs3Nzoi3MQXlddje3vLiIyvtxd8vDxRLJbfcULPqhJvT3dER4ahuanRCN77hglKJlzDgwNx+fxPcm7hGBl+jJGRx8jMSBUP0Akx0ZEYHRnZP2IPJiKH5X3cqI2xa093F7SL6FF48/PzjPgHyOTX1Ni4f8QvsBadyVQvuRa+ct3ampvwdGEeZSXFRlB9xLKnu7z0QnKVXkWBCC0nA1rX5j1Li2htaZHr7yWTrbfxsFgK+SK1NdUyGYg4u7uhWkSenkZ7exu8xbK3t72Ne4X5mJwYx84LIaOhwUEEi9vu7eVuQjUzcn+HhoZk0giFo4Md6mpr9t+pWCPT09MoKsiXceuBoAB/8VI/AqF/cP8BnOztpdmhMC8HLc0P0dLSbAaKtldv9+/XizBGiFV6y4TEjNAfUXe++PSpqWihRenu6mysUeZMLH3uu2wURpY3Xr103lSTZGdlGot4e3tTXn+I8JAghAYFiWA/wOLi05+FcHt7R/pTA3xkANy4ehnxLHGcmjQx+f6+PnNdWEXDOnf+dk6KB/T19ho3mKKeJ99H4V8V76BThDeSVreTPTIyMuT7FveP2IMLnOgFUOST797FoIgwvQp+X0xkpPRrW8TGRD0XTuFv4eSbkZZqwjTxsTFmMiIT4+OIEiv91o2rCJPfyYnqoJKG/zLHwAnCV7yw6OhwjI3ulWLyN2ZlZpj8Aj93amIC64e8jyU5b04Q3KG0uanJNEvXXtsH3KQv8F96urTkb9+6aQy6xo/Bou/q7DQuiM2N62JxOZlwA+PLQYEB2n5F4yx/4/JlnD/7g0lcFhUWHCn0dAEpDqxRv3b5kqn/phXKRK6lz37bLTgw0PzLWDzDID+e+dYkYsvETT0Qc9a002L39/FBWnISurs6f/ZCuECpqKDA/A5a76VijbPs8eA1xrU93FxFgCPQ09mBlUPJf1pF/N5g6Xu9XR0mUcrBMyffV1yQJ9fVDYmJCeb7f0bG1kCfTBAy6DjgOAh5LjyONfT35DgPmUAD/H1MKeQBTJY+eNAg/d7HeLMcuAdln7xX+WLwcMLxdHdFRUXZz9U3TMI2i6fBicPbywM5OVnG6yBMFFdXVsLP29uEkRiumpv75b73y3mysspTvAeGsLw9Pd/bfdb269rB+KAHaH/ntinFDQ8NMV7gq/LOhZ6Jhfq6WiQnJiJSTppWVYT8Gxkepu2ULSo8fL+FmcTerWvXTPWHg+2d/QU/z8eyCYWPqzgZs7a5eQPXr16Gs4O9SczyQSQHn2np+95Wi97/DUy8spqE1nB6crKIaZ8I/Z7Fwph4RVkp/ETMaBRUVVb8nECenp40Vjx/d6pMAo8fD/38GmEsk4LMzy/nJDA/bz6X4p0p1jqtcl6PhflfBHJLrO8uWvXh0jdDgs1nsKbeTAKzc2by4MDj5DE+tmeVE04ifT3diIoIM94SXe2DSYdeRlZmuvl9PJ/DoSRW2rCihgvD3GXiyc7KMNs3EP52fo6Hm7O47H4mRLO6X5nDifBRfx/SxCtzdXIwk8HkoVBoo0ws/DyWjXJtAUNU4aHB7+U+a/t17eA+RUg/jJZ/01KSUF9fZ/rTq/LOhZ4dlKJDV7O7owNtzc3obG1FZ1ubtlO2rvb2/daG2qpKEZdwM+M7iXDnZGVieurl3Mfys2dol+scEx0Fe7GAaemyXK+uttqEKw4+09L3va3Wze+UfxmvZilkUX4eHvf3Y/3Qw1Ao3M1ND03cntZpXm6OsYLXae0+ZFLUywjvg/v3TajjsEvbIb8rIizUWLT8/LHRUROK4TYCnDRoXReKR/Diw1fGx8dNOISTKCeCvr4eI/Yt0ldpUfH7crMzTRjnAH4v38PQGK1zGi/8/hUR7UeP+o0QU5D5ef29vftH7R23JV5Bg4g4z4kT1+jw471STPn8FJnADsJsfPzj4ZzK8uJTNNbXmhwDk9bcOoLHra89Ewu/GJ4ebqalpSajuqoCba3Ne/e57d3eZ22/skn/Mf/KuO0Tr3NyfNR4eb9mkdw7F/rDrK+uYeXZMlbFGqKlou10be1Qm5bZneEahnA83dxMopCber0IJ9dHAwPizt8V4XAVAQxBXU212cjr8Ge++F1vsx1859zMrFloxLLFTTnPw1C4JsfHTKLSV6z6+LhYM2ExhJOeKiLo4mjElzHyw1BAHw8NIisjzVj0nAzbWppNSIPC5+zoYEKI9xsasLn5fJ39/P6qVwovtxooKy0WEe023hLDKxTxh/cbTBz8MDzXqspKcy84kfJesJKGljiFmHXQXK27MDe3f8Qv9HZ3IzIszCTb+H3d3V0m/8DqIXOe9fUmz/BclZQYTSPixZhchEw+3Kunq1OMp9aHSJZJnJVYOdlZJl/AEk1Wub2P+6ztNZvo44YI/OvwXoVeeX0o4ExmsjyP4Q2GFliVYQmW/eXm5Ji4bmJ8nLEWDoc6PlS2NtbR0daKCHFfGWfOFPFOTb4rQsxwjrcRVCY1X4SJTG5LwAqvQH9f5GZlmLJN5oQoxrS+mbB80ULiQj4+fYtP4eL7WNKYm5NlQh+sWGKJ6rh4By+WUFLouQ1DbEy08T44AfG4pMR4k0zlyl1W1VhaiMWJLj0lRe6hjwkZJct3M+nrLdY6J7ej9sNhJVVWZibcXF3M70qMj5X3x5gJIzoy0iT0Dns5yqeJCv1HDhN3dbW1ZmBT7EuPWRn7VCzCgrw88z4uWGP9+Umbd30ocKdGCi8tV4q7i7ODST7zdzAUYunZt/xtjMdTmCnQvl4exrpn5Ut0VKSpvGFo5UUhpGDzWtES9xOrnrF8Lw83+dfWiGnzw0aznfGLxzEsyQmnrLgYwf7+JgfC1bOs/GFsnotejtpaeFa8mqqKCoSJyDOkxK0fmCzmhMFkNHNblmBugF7E3sIrlnzamkVn/L40mTg4kSmKCv1HDi1ya9u90hIUurzcbBF6V9jevoVLF84ZUWOI5XA1zYtQtJn89xGhv3rxPM7/+ANuXb9mQhovlk6+yMBAv1jlobh4QY47+yOuXb2M6OhIDA4+2n/Hy6zJhMMwTGJcnFn89dMP3+P65UsIDggw2yPwfCzB4wYfPfq5BJN77rBklknYyooyk0i2xIZ4dAxbMYxFoT9/7qxJvoaHBpnVvYfzCMqniwr9R86nIvQU5VrGuuV3Xr92GWd/OGOSlEzCimm9/66XoZXNUsdgOe7sd9+YDchsbWxQXlZq4p/HwQVaCSLYFPmvvvjMVCplZKRhYuLlMNEBtPJ5/fNyckxt/xef/c6sDUiIjTX75xyUjb4I/06x5+I35g9+OPMt7ty6YTYu6+nqNK9ZgsetrDzDw/t14nW44rtvv8a1K5dF+O9ibGTwg1gQp7x/VOg/cl5V6LlzIlfQMu7LeLKlkMeHCHMR3PSMFi9LMc+d/cGsFuVkdRw7O9t4LBZ4Unwczn3/nRF6L/EKGLs/Sej5BKisjAzxBC6Y4xxtb6OivPS5enVLLMvnMkxzx+YGPvvDb8WDuIIyuS98gMpJ8XIuHvT0cDdC7ygWOo+bl+87aauKx0MDZsHV92e+k4nwKooKcuX3Hb9lsvLpoEL/kfNrLfrkpLumQuNjsegpkLROGf7wl/N3dnJAZka6Ef/j2cWCCGyVWPBucgwfSpKUGIdHA/0nWrsUdJZ+cuXt7RvXERUeakreGNc/Dl7TpoeNJuzChWChMiEN9HUfu4vmASyRZDKX++mHBQfJRHbyXvVkamoCmelpcHSwNwlcJuhf3KdH+XRRof/IeRWhZ4KRi49Yk834LcXhqJjxhwp/G7dtqKwsR09Pt/lNJ8GSzbHhYdSIaHNVamdHm3lm61FhlAPo7XDPHSZlS4uLzXYdc/L9Jwk2k8AM7zxoqMe9wkIj+svPTj5Pwj1yWK/P0BJX73KR1ml4tvzMJNe5905tTY2ZAH9NvbVinajQf+S8itCzbJA7VjY/fIBp7u++vXliKOFD48CyZyiHk9Rpz5+ix8Tl3nGn+918jzlu//so4CdNDgccHMf7YyqbTnme/Hy+n9/H4w9WCJ8Ez5XX4+A4FXnlMCr0HzmvIvQUgoX5ORPz3bawja6iKNaJCv1HzqsIvaIonyYq9B85KvSKopyECv1Hjgq9oijHA/y/H0FgXTqPhpsAAAAASUVORK5CYII=)
physics-General
physics-
The current taken from the 30 V supply and the current through the 6
resistor are respectively.
![](data:image/png;base64,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)
The current taken from the 30 V supply and the current through the 6
resistor are respectively.
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)
physics-General
physics
common base amplifier circuit, calculate the change in base current if that in the collector current is 2 mA and
=0.98
common base amplifier circuit, calculate the change in base current if that in the collector current is 2 mA and
=0.98
physicsGeneral
physics
The current gain of a transistor in common base mode is 0.99. To change the emitter current by 5 mA. What will be the necessary change in collector current?
The current gain of a transistor in common base mode is 0.99. To change the emitter current by 5 mA. What will be the necessary change in collector current?
physicsGeneral
physics
In a transistor amplifier β=62,
=5000Ω and internal resistance of the transistor is 500Ω. What will be the ratio of power amplification to voltage amplification?
In a transistor amplifier β=62,
=5000Ω and internal resistance of the transistor is 500Ω. What will be the ratio of power amplification to voltage amplification?
physicsGeneral
physics
In a transistor, a change of 8.0 in the emitter current produces a change of 7.8 mA in the collector current. What change in the base current is necessary to produce the same change in the collector current?
In a transistor, a change of 8.0 in the emitter current produces a change of 7.8 mA in the collector current. What change in the base current is necessary to produce the same change in the collector current?
physicsGeneral
physics
A transistor is connected in common emitter configuration. The collector supply is 8V and the woltage drop across a resistor of 800 in the collector circuit is 0.5V. If the current gain factor
is 0.96, then base current will be.........
A transistor is connected in common emitter configuration. The collector supply is 8V and the woltage drop across a resistor of 800 in the collector circuit is 0.5V. If the current gain factor
is 0.96, then base current will be.........
physicsGeneral
physics
In a common emitter amplifier, using output resistance of 5000Ω and input resistance of 2000Ω, if the peak value of input signal voltage is 10mv and β=50 then what is the peak value of output voltage?
In a common emitter amplifier, using output resistance of 5000Ω and input resistance of 2000Ω, if the peak value of input signal voltage is 10mv and β=50 then what is the peak value of output voltage?
physicsGeneral
physics
Avalanche breakdown in a semiconductor diode happen when.......
Avalanche breakdown in a semiconductor diode happen when.......
physicsGeneral