Maths-
General
Easy
Question
If m and n are order and degree of the equation
then
- m = 3, n = 3
- m = 3, n = 2
- m = 3, n = 5
- m = 3, n = 1
Hint:
In this question we have to find the order and degree of the given differential equation. For this we will first arrange the equation in a proper way. Now we know that the order of a differential equation is the order of the highest order derivative involved in the differential equation and the degree of a differential equation is the exponent of the highest order derivative involved in the differential equation.
The correct answer is: m = 3, n = 2
Related Questions to study
physics-
What is the potential difference across 2
F capacitor in the circuit shown?
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)
What is the potential difference across 2
F capacitor in the circuit shown?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAboAAAEoCAYAAAAuWTTNAAAgAElEQVR4nO3d2W8cyZ0n8G/eWVn3weLNJiWypaa77T7WrcH0uoGFYWAf/OCnfdl/ceF9mYcBjFkM5sH2jGZabqkl67DUIimSxWKRrLuy8op9UEealHgXKUrJ7wcgWmpVJbOKxfjGLzIiUhFCCBARESWUetUnQEREdJkYdERElGgMOiIiSjQGHRERJRqDjoiIEo1BR0REicagIyKiRGPQERFRojHoiIgo0Rh0RESUaAw6IiJKNAYdERElGoOOiIgSjUFHRESJxqAjIqJEY9AREVGiMeiIiCjRGHRERJRoDDoiIko0Bh0RESWaftUnQJREQRAgiiJomgZVVaEoSvxvQggEQQDP86CqKlT1YH9T13VomoYoiiCEQBRFB/5dPmf/MYnoaAw6ogsihEAYhhgOh2i32xBCIJvNwrZtGIZx4LHD4RB7e3twXRdhGELTNNi2jUwmg3Q6DVVVIYRAr9fD3t4ewjCEaZrIZDJIpVIwTfOKXiXRh4dBR3RBfN/H2toaVldX0W63kUqlsLCwgPHx8QNBpygKBoMB1tbW8OTJE9Tr9fixX3zxBRzHiR+7vb2Nf/u3f0O/30e1WsVnn32GhYWFq3h5RB8sBh3RiIQQ6Ha72NrawuPHj7GysgLHcTA5OQkhxKHPkcOP8jmFQgHZbBZRFMVDmZqmwXVdrK6uwnVdOI6DMAw5ZEl0Rgw6ohEIITAYDLC+vo7vv/8eL168gOu6+OKLLzA/P49yuQzbtt96TiaTwezsLAqFAlRVhWEYME0TpmkeuP5mWRZM04TjOJibm0OhUICmaQw7ojNg0BGNIAgCrK2t4f79+/jLX/6CVCqFjz/+GLOzsyiXy0in029dnwMA0zRRKpVw69Yt9Ho9tNtt+L6PMAwPVIHpdBoLCwuwbRszMzPIZrPQNO1dvkSiDx6XFxCNwPd9/Pjjj3j06BFWV1eRTqexvLwMXdext7eH4XCIMAwPPEdRFCiKglQqheXlZXz99dfIZrPodrvY3d1Fv98HAIRhCF3XsbS0hFu3bmFychLpdPoqXibRB40VHdEIgiDAzs4Out0uMpkMHMfBzs4O/vmf/xnD4RC/+93v8POf/xxjY2OHPr9arWI4HOLevXvY3NzEv//7v0NRFCwvL2N7ext7e3twHAeFQgGO47CaIzoHVnREI3BdF/1+H5ZlYXFxEdPT09B1HY1GAy9evMDLly/RaDTeWgsnKYqCUqmEQqEAz/Pw+PFj1Go1BEGAFy9e4Pnz51BVFY7jQNfZLyU6D/7mEJ2T53no9XoAgPHx8Xjqv2ma+O1vf4uVlZW44hsMBkcOO+q6jtnZWWxubuLZs2fodrtwXRcPHjxAo9HAjRs3YFnWu3xpRInCio7onOS1tjAMEUURDMOA4zgolUq4ceMG5ubmYBhGPMHkqKUGmqZhfHwcExMTME0TW1tbePr0abykwLIsDlkSjYBBR3ROhmHAtm0oioJ+v4+trS10Op14uYDc6SSVSh27JEBVVVQqFczMzKBaraJWq+E//uM/kMlk8MknnyCdTnM5AdEIGHREI5ALwy3LwvPnz7G2toZ2u43NzU00m02USiWUy+VDlxhIqqqiWCxidnYWCwsL2N7exh//+EdkMhn87Gc/QzabfWs/TCI6Pf72EI0glUrFlZjruqjVanj16hV2dnYQRREqlQqKxeKxE0kURYFhGBgbG8P8/Dx0Xcfu7i4KhQJmZmaQSqUYdEQj4GQUohGoqorp6WmEYQjDMOC6Ln744Qfouo6ZmRmUy+UDe1cex7ZtTE5O4vbt2zAMA+VyOb4OSETnx6AjGoGqqigUCgBeb9e1t7cHz/OQy+VQqVRQKBSOHbbczzAMVCoVfP7555iZmcHExMRlnjrRtaGIo6aCEdGpRFEUf+3/dVJVNb4f3WnIe8/5vo8oimCaJtfOEV0ABh0RESUau4tEF0QIEW/MbJom174RvScYdEQXIIoi9Ho9/O1vf0O9Xsfy8jJmZmY4kYToPcCgI7oAYRii1+vhwYMHePDgAXK5HKanpw8NOrnvJWdUEr0bXJxDdAGEEOj3+/jhhx/wr//6r9jY2Dh0yy8hBIIggO/7CILgyM2eiejisKIjugAywNrtNra3t+G67pGP8zwv3htTURQuBie6ZAw6oguyv4I7ahNnOWFFVnJcPkB0+diVJCKiRGPQEV2C4yaZyH/jRBSid4NBR0REicagI7oAqqpCVdVTV2lyEgonohBdPv6WEV0AeZfx0+6oJ4RAGIYIw/CSz4yIOOVrBLKxGg6HR04np2STldlgMEC73YbnecdWdXLjZtd10ev1YJomTNOM/+3N417EdTy5MH3UBer7z2eU44xyPvI92v9cLrynkzDoRhAEATqdDur1Omq1GgBwf8NrRgaS67qo1+vY29uL//9hZOdob28PW1tbUBTl0KCTfxdCjNSICyGg6zps24amaec6lhACmqZB1/X467zhIoSAYRjxnRnO+9rk+24YBnRdP/dro+uBQTcCz/NQq9Xw3Xff4bvvvoMQAqlU6qpPi94xVVXheR5arRZWVlaOvfYmg+7Vq1f44x//CNd131pLpygKwjBEp9MZeaRACAHHcTA2NgbbtuMwOOtNS3RdRzqdRjqdhuM45+rQye+ZyWRQKBSQSqWg6/qZz2X/ORUKBWSz2Th4L+pmLOfpYLxZkZ/3+47yPFl1s8o9iEE3giAIMBgMAAD5fB6O4yCfz1/xWdG7pqoqhsMhdnZ28PjxYzSbzSMbLFmJZLNZzMzMwPf9Q2/MKjeJHg6HI5+fYRhIp9MjVT37qycZ1mexf8jRdV00m010u92RJuOoqopmswnLskY6jhxOlhX0KGFz2H0Jz3Oc/ed03DZx8ucZhiFUVUW5XEalUkEul4Nt25zs9BMG3TnJD7SmaZifn8fS0hKmpqYwNjZ21adG75imaej3+1hdXcXa2hpWVlaObJwURYFhGFhaWsKtW7dgWdaRdyC/iOpEURR4nodut4sgCM51TFlhep4Xf52nMZeNsrym7bruuff6VBQFURShVqvBdV2EYXiu85FBEgTBgb1Hz1rRyXCS+5jK8zlPVSjPKQxDBEGAMAxPPM5wOISmabh9+zaWl5exuLgIwzAYdD9h0I1INlyO4yCTycC27as+JboC2WwW6XQ6Dq3jKjr5mUmlUu/k82LbNlKpFIIgOPcxZBjIzajPW/koigLf9+F53rk2td7f4AshMBwODwTLWY/1ZrCMUs3tP84om3XvrwxP06EQQqDdbqPf78M0TQwGg3N3apKKQXcB9jcCo04eoA+T7/sH9rA86TMQRRF834emaUdWdBdJTtg4rzeDbdRGdNRhwqOOdd4JMvv/O8p5XORxTnusKIqws7ODra0t7O3tHQhKeo1BR3QNXPTkhCRVCx/6a5FLnNrt9sjXPZOKQUdEZ5akUYsP/bUoigJN07jE4hiMfqIr8qFXEvR+2D9jlA7Hio7oHVNVFUIIDjERvSMMOqJ3SFEU6LoOVVWhaRrDjugdYNARvUOKosCyrHiGIIOO6PIx6Igu0EnrqOTEASJ6d9idJLoAcjKA3M2CEwOI3h8MOqILoKoqbNvG0tIS7ty5g2q1yqneRO8JDl0SXQBVVZHL5XDnzh1MTU3hxo0bDDqi9wSDjugCqKqKdDqNTz75BPPz8yiXyww6ovcEg47oAqiqCsuyMDExcdWnQkRv4DU6IiJKNAYdERElGoOOiIgSjUFHRESJxqAjIqJEY9AREVGiMeiIiCjRGHRERJRoDDoiIko0Bh0RESUag46IiBKNQUdERInGoCMiokRj0BERUaIx6IiIKNEYdERElGgMOiIiSjQGHRERJRqDjoiIEo1BR0REicagIyKiRGPQERFRojHoiIgo0Rh0RESUaAw6IiJKNAYdERElGoOOiIgSjUFHRESJxqAjIqJEY9AREVGiMeiIiCjRGHRERJRoDDoiIko0Bh0RESUag46IiBKNQUdERInGoCMiokRj0BERUaIx6IiIKNEYdERElGgMOiIiSjQGHRERJRqDjoiIEo1BR0REicagIyKiRGPQERFRojHoiIgo0Rh0RESUaAw6IiJKNAYdERElGoOOiIgSjUFHRESJxqAjIqJEY9AREVGiMeiIiCjRGHRERJRoDDoiIko0Bh0RESUag46IiBKNQUdERInGoCMiokRj0BERUaIx6IiIKNEYdERElGgMOiIiSjQGHRERJRqDjojoA6ZpGlRVPfSLXtOv+gQ+ZIqiXPUpENE1IISAECL+M/C6/RFCIIoi+L6PIAgQBAEURYHv+/B9H5qmxY87imzHFEW58DZt//eVxz7qXIQQgIggABz2EHl+5zlPBh0R0XssiiIEQRCHWRRFiKIobuzDMESn00G320Wn04FhGOh0OjBNE8Ph8NBjCiHiwJDVn2VZME3z0CA6TwAKIRCGYXw8WWHK16AoShzEUeDD9114wwH8QCCIlJ/C7vVzNU2DYRjQdR2macKyrDNVrAy6c3qzd3HengYR0XF838fu7i7q9Trq9ToGgwHCMIzbmiiK0G63sbu7i2azCU3TsLu7i1wuB8Mwjj22qqqwbRv5fB5zc3OYnJxEFEUYDofwPA+apsGyLBiGcea2zfd9bG9vI4oipFIpOI6DKIpQq9XQ7XahKArGxqrI5zIYtmvYWHuOx48fo9500fNeR5MCQEDAsiwUCgXMz89jfn4eExMTME3z1OeSqKCTZXwURQjDEFEUAXi7N6KqKjRNi3sT8rmHDQ+8SQ4DCCHinon8vrLXJQPvuOECeazLHDYgog+f7/uo1+v44Ycf8MMPP6DZbCIIAgB/b4+GwyH6/T5c14WmaXj27Bksy4KmaYceU1Z0mqbFIWcYBsbHx+H7PjqdDprNJnRdRz6fRzqdhm3bZ2qjXNfF8+fPEYYhxsbGMDk5Cc/z8ODBA6yvr0PTNHz+xVdYujmHbuMlHn/3//B/fv9/cf/pFra7Biw7BcM0IIRAKpXC9PQ0fv3rX8MwDJTL5esZdFEUodfrYW1tDY8ePcLGxgaazWYcfDKMbNvGjRs3cOvWLdy+fRuZTCbuETWbTXQ6HQyHwxNDSn64ms0mfN+HrutotVpIp9Mnfhjkh8w0TaTTaZRKJWQymTP94IjoepAN+8cff4xMJoPBYBB34qX9Q5uKosC27QMd+aOoqopUKoV8Pg/btlGv16GqKvr9Pvb29tBoNDAYDOJKqlgsQtdPFxue52FzcxNBEEDXdZRKJbiui5WVFbx8+RKZTAbzCzcQRXPIlmew+NnX+B/dPmz7z3j5Ygu3vvrvmFn8BKqmIYoiqKqKycnJc72H713Q7a+qVFWNA2r/BVhVVd/6Acrg2dzcxN27d/Ff//VfWFlZga7rMAwDqqrGJfSXX34JVVUxNzeHTCYDIQT6/T62t7dRr9fR6/UOfM/99ldq+ytIRVHQ6XTicePjKjohRPwBkz0T27YZdET0FtM0MTExgWq1ik8//fTQdkW2QzIAdV0/9TUsRVHizn6r1UIqlYpHrNbX1/Hy5UtEUYRSqYRcLnfqoAuCIC4EyuUyfN+H53nY3d1Fr9dDuVyGrmvQdAOF8k3kK+OY+mgWFdvGX+/ew2/+9//CL779nwCAdqeDRqOBfr8P27bPPKP0vQq6MAzhum7cYymVShBCxOPSAJDJZJDNZpFKpQ68WBkcs7OzuHPnDlzXha7rWFhYwNzcHPL5fBw+lmWhWCzGz1UUBY7joFQqQVEUuK57YkU3KkVRoOs6stksHMc59YeHiK4X2VYcZ/+ll/PMF5CXe1RVjTv/Qgg0Gg20Wi3kcrm32tyTyELlzeJF0zTMzMzg22+/xcLCAlKpFDTdQKQYMMzXHX7b0pHLZWCnUmi1WhgMBhBCoFwuI5/Pn7kouJDWVSa17/sQQkDTNKRSqRMvhB52nFarhd3dXYRhiGw2iyiKsLKyglqthjAMcePGDXz00UewbfvAc2W5Xq1WcevWLWxsbCAIAnzxxRdYXl5GtVqNZyd5nod0Og3DMOIfrqyuUqlUPP592RRFgWVZcBznyLF0IqKTjHqNX7aBuq7Hl2FqtRoGgwFKpRKKxSLS6fSZgs51XQRBgDAMEYYh+v0+er0ems0mqtUqFhcXUa1WfzqmPHcFkRBwhy4ajQZWXr7E5uYm/DBE2nEwNjaGYrH47pcXhGGIvb091Ot1NBoNBEEAx3GwuLiISqUCAKd+c3zfR6PRwMbGBsIwxPz8PKIowosXL/Dw4UO4rgvTNDE1NXVoxaVpGmzbjquz8fFxjI2NoVKpoFwuo9Vqodlsolwuo1QqxWEpA8cwDGQymVHfkjM5aiiWiOhdMgwDmqah2WziyZMn+MMf/oAoinDr1i1ks9lTT+mPogiu68ZDlIqiwPM8bG9vY2trC8+fP4eqqvFlJel15fc6B5rNJh4+eohXHYGNzU2Uy2V88sknp7rueJiRg87zPKyvr+PZs2d49eoV9vb2YNs2BoMBlpeXUSgUTj1bR05rbbfbcS8giiI0m014ngfbtk+c5ipLY/lDk9fegiCIZyXpuh5XnG8Of3I3ASK6rhRFQa/Xi5cqtFothGGIiYkJTE9Px+3qceSQ58rKCtbW1mDbNsbGxjAcDvHy5UusrKzAcRxsbW39dBnKhqLIdlfESx7GxqoYn5uFbhhx23/e9nnkoJPJ3Wg0sLOzg83NTYRhGI/nfvbZZ7As61RBJxcYytlDMuiGwyGy2Szm5uZQrVaPPZ4cD5bT/ZvNJkzTRLfbjcev5RoUVlJERH8n22DDMDAxMYF2u41nz55hbm4Os7Ozr6+nnRB0URTFQbe6uopsNotqtQpFUbC6uort7W1ks1k8evQIjuNgZmb678WQAHRNQy6XxdLSEj7+b7/E9vY2BoNBvBziPEYKularhVarhcnJSVQqFQgh0Ov1UKvV8Kc//QntdhuTk5PI5XKnungoX8j+2ZYy8GTQTUxMIJfLnapXoaoqisUipqenkc1m490DTkuew/7V/TIg5Z/3n/tpJrBwYTkRva8URYmLidnZWTx58gRPnz5Fq9XC999/j7GxMViWdewxhBDwPA/9fh/tdhvtdhumacI0zfi638rKCv7whz/ANC3k8jmY1r6ROkV5/QUB27Li+RVRFJ34vY8yUtDJiRwyfOTMoPX1dfzpT39CrVY79Zq0/av/e71evJaj2+2iVquhUqkgl8udKuQkOYNIXpNzHAemacJxnFNVc2EYYjgcYjAYxAvB5fCmrDzlRBzZCzIM49jF5jIQFUVBJpNBOp0+dcVLRNdXGIYYDAZot9vodrvwff/ITTHe3GNSVVUYhoFsNotisQjTNN96juzQO44Dx3EwOTkJx3EghMDKygqazSbCMDzxPKMoindvGRsbg6ZpcfvrOA6GwyGiKPqp+BFyly8AESACBMMAXj9E4L3+XucNt/1GCrpcLhfPxNk/diqnjw4GgzhUjhOGIer1Ov7617/i7t27EEJgcnISjUYDr169wr1793Dz5s14iulpvLk7iWmaGB8fR6lUivd0Oy5cZK+k0+lge3sb/X4/vv4HAP1+H81mE41GA41GA91uN56dJJ9/2DmpqgrXdaEoCpaWlnDz5k1Uq1UuLyCiYw2HQ2xsbOD+/ft4/PgxWq0WPM+LO+37d20C/r4xBQDYto1isYjl5WXcuXMHpVLpQMEg27sgCJDNZgG8bpeDIIiHMU+7G4m8ZKRpGr755hvMzs5icXER6XQ6Xq8nA7VSqaBQKEBVVEShBxH14XYG6NQD+C5+quxGN1LrKqeiSkEQoNfrodPpYHp6Oq6oTgo6IQS63S42Nzfx9OnT+M18+PBhvIo+CALcu3cPhUIBt2/fPjKo5A/a8zy4rosoiqBpGnRdh23bSKVSp66eZC9IhrX8ksOiQRDEyxV2d3dPFXSKosQbrXJZARGdlqIoMAwDuVwO1WoVtm3D930Ar0NwOBzGQ4T72xW5C1M+n0c2mz20zRFCoNPpoF6vw/M8AK8rqU6nE+8zKYc0jyLb3larhQcPHuD58+f4h3/4B8zNzWFpaQmO4xx43OtzU6EoAoAHdzBAsx1Az05gbNFHoL5e5pDJZEZuJy+sjIiiCJ7nYWdnB41GA1NTU8jn86cOOt/30e12sb29He9QLXc68X0ftVoNd+/exfT0NMbGxo6sguTkFdd143UccpeTsw4Pyg+MLN/fPOderxcvag+CAB9//DG+/PLLE6/XyeEG27bjrXqIiI5jmiaq1Sqy2SyWl5fheV68G8rW1hZ2dnbizrbcPUS2e3I6v+M4h25TKNuztbU1PH/+HMPhMG7Ds9kspqamUK1Wj63o5JyKdruNx48f49mzZ/j0008B4K3gPfD9hQBCD+4gQKtnonjjM2SnbkHPZrG3t3eqCTAnubCgC8MQnufF1crU1BQqlQocxzkxYOQbJHctsW0buVwOExMTyGQyaLfbAIDx8fETK7LBYIC1tTV0u11omoZarYZisYh8Pn/sJqdv2j9pRNf1t4JLVne9Xg+pVAqmaSKTyaBUKsWPOc2mzpz5SUSnIafdW5YVd97lLMler4dGo4F0Oh2HoaZpBybR7Z9jcFibk8lkMD09Ha+Dk6FZLBZRKpVOXDAuv0c6ncaXX36JqakpLC0toVgsHt/uKgqgWnAyFcx+5GBiah4Q4vWyggsIOeACgm7/tay9vb349gv7fyD7ZyoeRu6IMhwOkc/nMT4+juXlZczNzUEIgWq1iiAI4hmUx4Wd7OGUy+UDu58ctXflSfbfXeBNcuhW7isn75dERHTRjppeL9u2fr8fT/I4yyUa2S5ms9l4aFSuW06n0/GG8ycdb//dEH71q1+h1+theno63lrxmGcCqgnbMWE72VOd81mN3CrL2ZLr6+tYW1uDYRgoFovY3d2N3yw5u/Aog8EAL168wMbGBjKZDL766iv8+te/RjqdhhACn3/++YGtxUzTPDI4C4UCvv7663g7MjmunU6nL32I8LL3xyQiepO8dCInk5z1Uo0sROTuUPK+cbL6O+1uJPI4mUwGn376KaIoijv/V70Rx0hBJ3ctuX//Pv7yl7/gyZMnMAwDlUoFhmFgZmYGX3/9NSzLOvaNHwwGqNVq2NnZiW9bMzExca5zMgwDhUJhlJd1am9uWEpE9K7t3yTjzbu9nJZsm+V9Os9LVnXHFTZXYaSgC4IAu7u7+M///E/8y7/8S7wfpVzlfufOHSwuLsZDkIcFnby2J3si2k/3HpI9CiIiOtlxl1muu5GCTlEU5PN5fPnll8jlcvjmm2/i268DwPz8PGZnZ4/d61JRFJRKJXz77bf42c9+Btu2sbS0xB8WERFdiJGCTtM0lMtlfPvtt/jmm2/eWo2v6/qJMx1VVUWpVMKvfvWrt2YIERERjWrkik5ueyX/ft7jcC0ZERFdhpGDjoiI6H3G2R5ERJRoDDoiIko0Bh0RESUag46IiBKNQUdERInGoCMiokRj0BERUaIx6IiIKNEYdERElGgMOiIiSjQGHRERJRqDjoiIEo1BR0REicagIyKiRGPQERFRojHoiIgo0Rh0RESUaAw6IiJKNAYdERElGoOOiIgSjUFHRESJxqAjIqJEY9AREVGiMeiIiCjRGHRERJRoDDoiIko0Bh0RESUag46IiBKNQUdERInGoCMiokRj0BERUaIx6IiIKNEYdERElGgMOiIiSjQGHRERJRqDjoiIEo1BR0REicagIyKiRGPQERFRojHoiIgo0Rh0RESUaAw6IiJKNAYdERElGoOOiIgSjUFHRESJxqAjIqJEY9AREVGiMeiIiCjRGHRERJRoDDoiIko0/apPgOhDE4YhwjCEqqrQNA2Kolz1KRHRMVjREZ3RYDBAo9FAu92G7/sQQlz1KRHRMRh0RGcghEC73cbLly+xs7ODIAgYdETvOQYd0RnJoGs0Ggw6og8Ag47oDIQQ8H0fvV4Pw+EQYRhe9SkR0QkYdERnFEVRPCEliqJjKzohBCs+oivGoCM6I0VRzjzTkmFHdHW4vIDokvi+j2aziTAMYRgGMpkMLMu66tMiunYYdESXZDgcYn19Ha7rIpPJYGZmhkFHdAUYdESXRAgB13UxGAxgGAaiKLrqUyK6lniNjuiSCCEQRVH8xet0RFeDQUf0DpxnAgvRafGzdTwOXRK9A28uM2B1R6OS4SZHDuRnip+ttzHoiC6RoihxQ+T7PoIg4DAmXQj52QqCAL7vx+s66W0MuhHJISlVVaHrfDuTTlXVUw8Tycf5vo9Wq4XNzU0MBgMGHV2I/Z+vzc1N7OzsxJ8vOogt84j299Z7vR4Gg0Hc06Lk2N+hOUtQKYqCIAjQ7/cBAL1ej58NuhCynQnDEK1WC77vx/+fDmLQjSgIgniTXwCo1+tXfEZ0kYQQUBQFmqahUCjg5s2bcF037jWftlGRlSAbIbpIsvM1OTmJcrmMqakpOI7Dz9kbGHQjUBQFpmkik8kgn88jCAJsb2/zQ5YgMuh0XYeiKPA878xDj5qmQdd15HI5ZLNZDi3RhSsUCtB1HWNjY7Asi23QGxh0I5C9/OXlZaTTaWiaBtu2r/q06BKoqopMJoNisYh2uw1Vfb0y5zQbOhuGAcdxMD4+jnK5zKCjCyU/g6qqwjRN3vX+EAy6ESiKAtu2MTk5iWw2CwBxA0jJoigKDMNAKpU6U0MihICqqjAMA+l0Oq7oeJ2OLhqHxo/GoBuBHNLK5XLI5XJXfTr0DkRRdKaZl5KqqnEniJ0honeLv3FEZ3DWgNvfy2Zvm+hqMOiIzuCsQ44y6BhyRFeHQUd0SfavvWPQEV0dXqMjuiSGYaBSqcD3faRSKd6LjuiKMOiILolpmpienoYQIl5LR0TvHn/ziM7ozd3ij6KqalzFceiS6Oow6IjOSG7gLdfTHRdiDDiiq8fJKERnILd9y2azSKVSHI4k+gAw6IjOKJvNYtB6dlsAAAawSURBVHZ2FqVSKd4Dk4jeX+yOEp2BoigoFoswDAOmacIwDAYd0XtOEdx0j+hMoihCGIbxGjlu6UX0fmPQERFRorErSkREicagIyKiRGPQERFRojHoiIgo0Rh0RESUaAw6IiJKNAYdERElGoOOiIgSjVuAEf2k1+vBdV04jgPLso7c8UQIgcFggMFgAN/3YVkWbNuGbdsHtgMLggDtdhue50EIAVVVYZomUqkUTNOEqqoYDodwXRee5yGKImiahlQqBcdxuLUY0QVh0NG1J4SA67pYX19Ho9HA3NwcxsfHj7wFT7/fR71ex+7uLjzPQ6FQQKVSgWVZBx7veR42Nzexs7MD13VhGAZKpRJmZmZgGEb8fXd2dtBoNDAcDmHbNiYnJ2HbNjRNe5dvA1FiMejoWgvDEPV6HU+ePMHdu3dRq9Xw29/+FsViMb7fHPA6DPv9PnZ2dvDq1Susr6/DsixUKpVjN3cOwxCrq6v429/+hmw2i6WlJUxMTMQhZpomNE3D7u4udnd3Yds20uk0pqen3+n7QJRkDDq6toQQCIIArVYLP/74I/785z/j5cuX+MUvfoEvvvgCtm3HjxsOh9jZ2cGjR4+wurqKTqeDubk5ZDKZ+N50b5LDkMPhECsrK3AcB9ls9sCdyeVdEDzPQ7/fh6qqEEJw2JLoAjHo6NrLZDL46KOPkM/nMRwO4+tlkrzWtr6+jvv378P3fSwuLmJhYQHj4+PI5XKwLOut4xqGgYmJCczMzGBsbAzdbhe9Xu+tEFNVNa4OZ2ZmUKlULv01E10nnHVJ15aiKNA0DZlMBhMTEygUCodeFxsMBqjVanj16hVc10UQBOh2u2i1Wuh0OgiCAIfdBERVVWSzWUxNTeGjjz6CrutoNpsYDAbxY/r9PrrdLmzbRrVaxczMDAqFwqW+bqLrhhUdXWu6riOdTiOXyyGdTsOyrPiu4YqiIAgCdDod/Pjjj1hfX8f4+Dg6nQ6ePn2K3d1dtNttCCEwPT2NVCp16JDj2NgYlpaWsLq6ilarhe3tbUxMTMA0TTSbTWxvb8M0TZTLZZRKJZimeQXvBFFysaKja09VVWiaBlVVDwSVoihwXRfb29t49uwZVlZWoGkaFhcX8ctf/hIAcO/ePdy/fx+vXr06MNy5Xz6fx8LCApaWlpDP53H//n08fPgwHhKt1+sAANu2YRjG5b9gomuGFR1de0IIRFEEIUQ8BCkrOjn9Xy49SKVSWF5eRqVSwe9//3s8ePAAlmWhWCxifn7+0KHPVCqFyclJ3L59G4PBAN999x3CMMTNmzcxHA4xHA5hGAYsy+JEFKJLwKAjOkYYhhgOh4iiCJlMBrdv38bS0hKiKIqHO33fP3Dd7TCWZaFcLsOyLDx8+BCKouA3v/kN0uk0ZmdnMT4+jmw2y5AjugQcuiQC3hqylH/XNA2WZcXX8QqFQjyJJZ1Oo1AoIJVKnbi4W9d15PP5+BpcvV7H999/j263i0qlEh+HQUd08Rh0dO3tD7b9Q5fA6+tmlUolrrharRZc14UQAqlUKt4VJZ/PHxtSiqIgl8thYWEB//iP/wjLsvBP//RPePz4MUzThGmaDDmiS8KhS7r2XNdFs9mE53kAgJ2dHWxsbEDTNGiahmKxiBs3bmBzcxPPnz9Hr9dDpVJBt9tFPp/H1NQUKpXKkXtjSpZlYXx8HF999RV0Xcfa2lq8ho7bfRFdHgYdXWtRFGEwGKDVasWh1mq18OrVK+TzeRSLReTzeSwtLUHTNDx9+hQbGxuYnJxEGIYYGxuLF4SfVJFpmoZCoYBPP/0UpmmiVCphenoatm2fGJJEdH4MOrq25BZgQgg4joOf//znKBaLqFQq0HU9/rd0Oo2JiYn48Z1OB7quo1qtolqtYnJyEtls9sSwUlUVqVQKExMTsCwL09PTKJVKvDZHdMkUcdiWDkTXgBACnudhMBig1+uh3W6j3+8jiiI4jhNPErEsC1EUodPpYGtrC61WC2EYolqtYnx8/Ny31AnDML4+yKAjujwMOrrW5Bq6/V/A68kjuq4fuINBGIYIgiBec6frOnRd57Aj0XuOQUdERInGrigRESUag46IiBKNQUdERInGoCMiokRj0BERUaIx6IiIKNEYdERElGgMOiIiSjQGHRERJRqDjoiIEo1BR0REicagIyKiRGPQERFRojHoiIgo0Rh0RESUaAw6IiJKNAYdERElGoOOiIgSjUFHRESJxqAjIqJEY9AREVGiMeiIiCjRGHRERJRoDDoiIko0Bh0RESUag46IiBLt/wMwLPFdHCEAoQAAAABJRU5ErkJggg==)
physics-General
physics-
Two insulating plates are both uniformly charged in such a way that the potential difference between them is
V. (
, plate 2 is at a higher potential). The plates are separated by
m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2? (e=1.6![cross times 10 to the power of negative 19 end exponent C comma m subscript 0 end subscript equals 9.11 cross times 10 to the power of negative 31 end exponent k g right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
Two insulating plates are both uniformly charged in such a way that the potential difference between them is
V. (
, plate 2 is at a higher potential). The plates are separated by
m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2? (e=1.6![cross times 10 to the power of negative 19 end exponent C comma m subscript 0 end subscript equals 9.11 cross times 10 to the power of negative 31 end exponent k g right parenthesis](data:image/png;base64,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)
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)
physics-General
physics-
Calculate the force ' ' F that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height 4m. Radius of the wheel is 1m and its mass is ![open parentheses g equals 10 m s to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
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)
Calculate the force ' ' F that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height 4m. Radius of the wheel is 1m and its mass is ![open parentheses g equals 10 m s to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
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)
physics-General
physics-
A wheel of radius ‘r’ and mass ‘m’ stands in front of a step of height 'h’ The least horizontal force which should be applied to the axle of the wheel to allow it to raise onto the step is
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)
A wheel of radius ‘r’ and mass ‘m’ stands in front of a step of height 'h’ The least horizontal force which should be applied to the axle of the wheel to allow it to raise onto the step is
![](data:image/png;base64,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)
physics-General
Maths-
The order of differential equation is![open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses cubed equals open parentheses 1 plus fraction numerator d y over denominator d x end fraction close parentheses to the power of 1 divided by 2 end exponent](data:image/png;base64,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)
The order of differential equation is![open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses cubed equals open parentheses 1 plus fraction numerator d y over denominator d x end fraction close parentheses to the power of 1 divided by 2 end exponent](data:image/png;base64,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)
Maths-General
physics-
Two condensers, one of capacity
and the other of capacity
, are connected to a
volt battery , as shown. The work done in charging fully both the condensers is
![](data:image/png;base64,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)
Two condensers, one of capacity
and the other of capacity
, are connected to a
volt battery , as shown. The work done in charging fully both the condensers is
![](data:image/png;base64,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)
physics-General
physics-
A cubical block of side ‘L’ rests on a rough horizontal surface with coefficient of friction ‘m’ A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is
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)
A cubical block of side ‘L’ rests on a rough horizontal surface with coefficient of friction ‘m’ A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is
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)
physics-General
physics-
If the time period of a pendulum is 1 sec, then what is the length of the pendulum at point of intersection of l-T and
graph
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)
If the time period of a pendulum is 1 sec, then what is the length of the pendulum at point of intersection of l-T and
graph
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598Hvd0I11ISclDicjdmNvxEncTcxCfWsvNCJVbq/Jx73rJ7B88Y/45qfVOHzhNvIqG9E3MIDOxko8vX0Bm1YswbciAtu89zhu3X+K5xmZyMrOQWFJKUoKsvHswS0cP3QIR05fRdKrYjS1d6GptgRJsVexd9tGbNh2AFdjSUx9GB7qQ23Bc5zetwFf/fEP+OqHpYg4F4XEdPF6xcXITEtE1MXjWLd8Cb7+7kes23UUjzIK0T08IVL7fpEaCxFu+gXffP091uw6gTuJmSiveYPqskKkPYnBkX07sHr9FvGat5FV1gSN6f2HM30uSII2kQ53CQkm9wenzYl0mCRIg6XLJlzQOMVngCQYfA6zMAgbEbrtBrSUPMeVI9vwy/L1OHzlASrbBqE32+Bw2GG32WC1Wt9rs9ntcFDvqtcnbo63Zz2nIvQ4MN5bh4Q757B13Ups3HUEsSkFaO+fgMthhaqnAWn3rmLNL4vxl0WrcPzafVS3DUBnMEA92I6Mx1HYtWEFfvp5JfafvoG012Vo7xnACHV0TIyhr7MRpTkZeHT/Ph7Gp6Gwog7NrS1ybGTcjVPYtGYFlq3ehtM3n6C8uR8q1TjaqvNw9ch2fPvnf8P3yzbgUmwKyhu7MarSYJAixuxknI3YgR+/+xY/Lt+Ii7HPUNvei7GRHhSlxeLQpqX4/ocl2HbkOlIL6jAwroVqpA91xZm4fuYw1q3bgJ1HLiLldZWccfMh1+uTEXx7SYKOYDo8I8EleUKCsk3QhAqVCzohQf/MlyqzoAgTEU7Bqh8RafFtHNi8Cis27sf1x6/Q2j+KCXGDD/Z3o72tFc3Nze+1tbV3ondgBNrJX0+Pm1sROjHeU4/46DPYtGopVm/Zj9vxOWjpG4fb7YRusBWZj29i46rlWLRMSOdOEloGNbA5nTCJCCw3WURgOzZg5dotcqxkcX0n9BYHPDT0hZoJTDoM93agtrIM+fkFyC8sRF5eDlLj7+Hyqf1Yvfxn/LxyC05FPkZFywC0eh16G0sRdXofFn//DVZs3oe450XoHtOLa+CH02bEYEedON6L2LzyZ/z4y2ocvXYPhW/aMDjYiYK0u7LXePESIebzccir7RbH44TNoEZXfTHuXjuNTRs3Ycehc0jMLsOIzjRnTRYfy0w6TBKkdFiJBHVYV6THjWYLKtUu6IUEZaFVesL8vRGYv0F4iDAg0syhFpkWr1+xFJsPXkB8bi36RsYw0NMu0rMCZL16iefpz2Xb2fN/sGVm5aKksh7dAxOw2N3v9AbPnQgDQla6kU68fBKFvVvWYs36HbgYnYSKph4YjQaMdNUj9d51bNu4Hut3HEFcymsMaMxyfKFFM4i81Ac4snsL1m7agQt3ElHV2g+re6YDYho+tx268UE0VBXjRVoKEhKTkJySgqSnDxB58Rg2rhUR4ZqtigibB6HT69HXXI5bZw/g5x+/x9odh/EkqxJDOqs8rym/G/qxHmQn3kXE1rUi6hbp+qU7eF3TjL7+DuSnkghXYMkva3DoyiMUNQ7A5PDBZRGv21SOe5HnsGWTEGHEWSS8KsGw9v2nPH5KKOCXkaDZi1SKBCuNwXRYL9Jhi5w7TAUUKBJkFi5hIcKAy4yBxiKR1u3A0p+Xi7T4PgrEjajW6TE21IM3NWUoyHuN7OxsZImN/v57W15BMarrmtE/oobVOdciVF6MOkusBhXqSzIRffkkdu/YicOnruJJahaqqqtQkvsCcTev4MjRE7h0+zEKatowaXPD7/XCoh4Q4gmKcPMuXLybJNPmWRHSIGeaGVNXjOQn93Dz5i3EPUlCVl4RiguykfQgEgd2bcKaDTtwJihC/a9E+APW7TyK+JxqDOttsi1vOuCFST2EovQnOLl3K1av3SjS9TgU1LViYEBEhKk0jnAFfhYiPHz1MYqbBqUInWYd+pvLcO+mIsLtQoTx80SEJEFZRcbsQ+o7vcMkQVlFZkIpoDDbCcYsWEJXhO8cjMMwjrrcJBGprMPPKzbi2oMMNParYbTYYDFNQj0xiuGhQXHDDrzXNjw8IlJqHUxWOzx+/2yjPonQY1VmlhzbJkT4T38UIjwgRagmEb7XBVIeROMe3Q4LhroakJX8ABdPHcfR42cQGXNf9ramJMXj4YMHeJSQhvyKRgypJuENTInIzAOzSI1nRbhpp4gIk1D1jgj9bisGWiuQFHcVB/buxYHjlxH/ohAtXf3o7WxAXvp9HD+wDWs3bMfpG49Q1tQPrU6kxk1liDqzHz8v+h5rRBT6+K8iwskJIeDnj3Hq4E5s3rYHl0nArb0YHelBIbURbl6uiFBGhINy/KYSEQoRiohw8zwSIQV4Nu+0rCf4fMCBiBojluTRjBElEixXBQsoBCPBv+o3YxYYoS1C+ekMQD/agawnkdi0eiWWrd+L+ym5aB9UQ2eywelyy2lrtLnfc6OpZF4vTTEL/LqzhOrvWcZQlx+PI1uX47//9z/gLytmptjZ30aE73GhpAidFgx3NeL183jciryGqzei8fDpM7zIzMLr169RWFyKusZ2DE3oYHO45ctOiZSa2ggVEW5WRBiTiMqZ1Hh6Cm6bFvWFqbhweBuW0PCag5eQ+rpaRLgTGOxuRG6ySGN3bcTK1Ztx9FIs8ms6MDo+js43xbgp2wi/xYpNB3AvvQS940Y5K8fjtGJ8oA0vE2Nx4tA+7D9yBg/S8tA5OAbNRL8UYcQmmlmyGocuK6nxrAgbhQhvCBFu3BgUYakQoWlWMp+Lmb3RaAAqqtorJDhTQGGpkCD1Dl8WkWCJrCLjh3cepO7M3BDiIhSf1IALw+2VeHD1iEiLl2LZpoOIS0jHm7YejKgNsLvnrhYgdULY9AMoz7yHfet/wn/6z/+EPy7ejuhneRgSN7ZbiFPu6z12OC2iS7tZi+aqPDy6dQWnTp7AmUs3cPf+EzxLTcfLV1nILyoRKXojuvoGRZpvgMNN84Xt0I10ISvhDvZtWYdlqzbh5PUHKHrTCYPdK6cBOi1qVL9Owsnd6/CXr77FkvX7EPUgDUVlIuXOy8QDkaZuXrMU3y9aim0HzyExsxTNHV1oqMjDjZN7sOjr/43vl27AhbspqGzug2bSCPXYAJqqC/H4biROnzqNq7cfIq+qBeNaPXTjvchNvIU9axbj+x+WYu/ZWOTWds12lnTWFiL60gmsW7MGm/Ycx4PnBeib0Ito+/NPtSP3zk6bE5Hg4VohwXwd1hbp5dzh0neqyHzmQ2M+IaHdRjgtYjCPFT31Bbh1Zh9+XrIUyzcfxK17Caiob5EzGGxChB/1xS7uVIogKC122EyY6G9CVmIUdq1bjP/23/8n/n3xJlx98BxNfWMwWJ3KvOL3uLun/D5YdKMoz07GhSO7sX7dGmzYtgsHj5zA2QuXcOXaNURG3cad2PtISElHflkNukT0pdKoMdDxBqkPIrF701osXbFOjjF8VfoGY5NW2WtMQ4k6avIQc+Ewli/5Ed8vWYU9h88i6s4DPLwfi+sXTmDL+pX46adfsGHnYdyJf4lyIdyq4hwhwt344c9/wL9/sxh7TkciOasYdU3NqKsqQ05GMuJibiP67kOk55aia2ACBsMkJgZakPHwGnauWYIfflyK3aeikFH0Rkay6tF+1JdmI/L8UaxdLc5xl9hf4iu0DYzB5iJxBy/IZ0Cmw8FIkCR4tMaE5QWKBGmcIM0dVtGMkeC0uc8taebTEdoiFNHPtNsih33EXT0ph2dsPXBaRIQZqGvtgcpggfud6XW/D7ojAvC6nZhUj6H9TRlSH97E4T1bsHjxL1i5aR+uxSagpL4NQyq9iEC9cgD3P4JEaCYR5qZIEa5ZIaLZlauxdsNmbNm2Hdu3i23HTuwQ276DR3H+2h2kZhejvqkF9VUlSLx/C0f378HWbXtw6nI0nueWo3tEIzt33G471EMdKMiIx4WTEeIx27Ev4jiu3LyDJ/EJePIwDlfOn0bEwQicPH8dSS8LUN/chtqyXESe3osfv/oj/vTtT9hx5AJin6bgZXYOXr7IQGpKsoxWc4sq0dYzDIPRCrNBg/62GnlNjohrsmHTNhy7GC2OtQytnX3o6WhGWd4L3L56Dnt278Y+kVLHJrxAfUe//OLwf6aeCBkJCsHR3GGS4CGRDi+nUlqFelwUkWDRuFNOm5PFOT7PITGfkRAX4RSmvOIDPNCO/BdJiL51C3ceJiG//A0GKRqkqjHvIaW/D90YQoQuByY14+hqqUdRTjriH93DLRGxxcQ9wvNX+aht7sSwECHt831ESDNLJlWDqMjLQPS18zh+9AiOnTiFU2fO4szZszh9+jROnDiJo0cO4eCBA0JkJ3D9zmPkFJWjuroKeTmZSHjyGPfuP0JS2iuUVjdhgGofOtyyFBeN+xvuaUWpSIXpcY+fJiIjKw8VNXWor69FSWGelFtWbiEa2nsxPDKCVpHC3jy7H4u/+wqLlq7B8SsxePYiGwXFJSgsKkJpWYUQcRsGRqm6jV22u9pMegz3iv28fokEcU1i4+4jURxPSWUDunr60dfTiYbacrzKSMWjR4/wOCFZnEMFOvpHYfxMIpSRYHCcYEq/AwerqaiqXo4TvCxLaTkxbvfNRoJM6BHiqbH44E755M041NeFxoZGNLd1Y0Slk5HRnFU4EfsJ+LxKmSqtCqND/ejt6UJHh1KaiuoOqrR6mG00oNkvHv53rpT8N3Gd7SYMdr6Ra6LcvXMXD54k4VVOPopoelxpKYqEePLz8pCd+RzxD+7i4oWLuH77PrKLq+UMksGhIfT29qBL7L+vfwjjKi3M1MvtpRqG4nhFxOm0W6ATUexgf694bB+GRsah1U/KcYo6kWKPjY1ifEINk9UBq9mAHhpQffYAliz6Dss37cYtkTLXNHeJ541hZIQGp6sxaTTD4aS6hOJLKBAQMnTAbNRjfIRqN3YFj2dYvK4WkwYjjCJ11qonMDTYj57ubvSI4xgZm8CkyQqX59czdz4FAfH6Vm8AXUYPUvrsOFglJPiaKkuLdLjJjGKqImPzcxWZECe0RSiZhl9IyuUQN7PVBpvDCbfXJ2+AuWRmqVCf1ztbpJQKnMq/6Xe/0cv8t6GZMOOoznsuosGLuHjlFuKf56KBOnhGx6FSqzExMYHR4UH0djTKqO5+XCzuP0lGaX07xnRU7FXsW+x35jho/8oyomL/s4egtG3S9VEKpFJZMCEwiqSDpcKo1Bg93Oe2YaC5bHYc4Zodh/E4sxx9EwY5u8bj9cgCrTMFXyXiB1lQVtYzfOdYgsczs8SpL7h/5d+VYq20bzrW97lavxf6DNh8JEEvkmnGSGVw7nCBUk+Q1h5W2gTlqTAhTBiIkD7EFBkq1ZapnvOnvb3mgimY1APIS7mHE/t3YsfuCFyIjMOLXBrI3YDWtna0t7ejtaUJ9dXlyM95heSU53iVX46OQVoDxTuHZ0ivRBGqAZ21ebhydAe+/+rPWLp+L2LTitAzblDKTc37a/oO4lDp+2AmEkzqs80WUKB1h2mcYCm1CTredowwoU1YiHBBIS9iABbdCMqyknDh2D5spk6eXftx6vwV3Iy+i/sPH+PJ0wQkJj3DM7FRncLsglI0dPRDK1JKGnYyVygLtHth1I6itiAdp/duwF/+7Y9YtHwLrj98gTfdo7A4abH2hfPuy0jQO4VOEQk+6xcSFJGgXGipSIfrzWaUT7ihIQkGFpTemY+ARTjPUKKPKbisBvS21CA98T6unj+FQxERiDh0BEePn8Tpsxdw6ep13LoTh8cJqcjOL0NTZx/UwSIQ0klz9GbQIHGPywbVcA/KctNw+fh+rF25Aht3HMTNh2moaOqGxmiDR6SYnx26WDPbLDO/C/7nX0F9L3YhQUqHZwooUGXpNUKCV4UEK2UVmZm5w+9s7+7rV/tjQgEW4TxDuYbU+eKBxahDf3crqkoL8OJ5Cp4+eYKHjx7h4eOnSExJw8ucPJTXNKBrYAR6EQm6qSNE3KT0GnN1r9Ji9m6HVQ6YbqwpQzpVtL4Tg7iHT/Eyr1QIeECIkMYnzhR0mD/IJpEZcU1RG66ItF1+dBk8SOxV0mGKBDcICUa2UCktp5CgT647zIQXLML5irh5qWfX7bTDZNBjfHQYfT096OjoQHtHF7p7+zE8Og6dwQS7U1kA6lMwPR2Az+2CxWSAitY4kb3h7ejo7EL/4LCy4JLDJTuCvghB0U1Tp45PRMNeD6Y8bky5XAg4HQg47Ji22xGw2WAz29CpsiK504S9pVr8lDmGla9Gca1yAuV9emj0Znht4vFOJ6bF86fcbkx7vfK1SaQz+2JCDxbhAoF6calHWpnvTD3RSi/wp74vKaKa3beQw+yca5dbroJHvbw+6g2fqzZCklpASE3sb8rlxJSQ2JTFgoBhEgGdFj7VBHzjY/AOD8HT3wdPTzfcneLz19IMV+MbuN7UwllXA2d1JRyV5XBUlMJRXgpDRSXaq5qQWNaDfa/68MOjFvxyqxSnY17j9bNcDOXmw1pSLB/rEs+j5zvrquFqqIeruQnu9jZ4urvg6e2Bd6Af3pEh+MQXg081joBWg8DkpDhOs3K84jpNi+tCYp6mLyiW57yHRTiPeff+mUnz3t0+J7Q/mXb/5kafjL+DfIB4HA2tochNRG3TIsqccoiIzWpFwGSSovMLoZDkPIP9cHd1Crk1SamRnOwFebDlvIL1xXNYU57BkvAEpof3YIyNhuH2TUxGXsXktUuYvHoB+kvnMHnxLPTnT0N77hSGzp1F7aWbeHQ7BbvvlWJRTDV+uZiFk4fvIv3AWbQfPYaJU8ehP3sSOvH4SfG8yYtnMHlZvM61i5i8cRWGqBsw3rkN0727MD++L/dvTUmELSMVtqyXsOW/FsdZosizuRHujja4e7vhGRqAV5yTX61GQK9HwGhEIChMGXnORJ0z0pyNPIPXjvkssAiZTwPdzDTFUYpP3OgiepwS6anfaIBfpYJXCMItUmznmzo4ykpgz8uFLTMDluREmJ88EIKLgeHmNUwKqelPH4fuxCFojx6A9tA+aA/ugXbfTqh3b4N652aod2yCepvYtm8UP2+GSvxOs3OL+HsLBrdvRcX2vYjbcx7bTyZg0fVC/HKzBMcvJSP96GW07D2AsT07oNm9XWzi9XZtE8/dKrfZ194e3MRrq3eJ3+8RjxX71xzYLY5nL7RHxHEdPwT9mROKhIU4jdE3Ybx3B+anD+U52TLSYBcidxQXwllTCbeIMr0imvUOD4vrMQE/SdJsEl8OIqJ8JyWflSPzSWERMh+PlB5Fez55E0/ZbSLyEcJTC+END8qUkm58ma4WFQjhvRBySIDpQSwMtyKhvyKiOIrGThyG7rCQSoSQi5CMZt8uaPYKSc2IhwR4aL8Qz0HohHh0J49Ad/oY9OdOQn9BRHBXzmPy+mUYKDoUEh27fg21F67j3slo7BAS/EFIcOWTRpxNa0RWWhG6E5KhfSCiyrgYGO/ehjFGbNFRMIpjMooIUL7OVRERXhQyPn8KOiE63alj4jiPSPFpjx6E9vB+aCL2QLNfHB8dK210rPt3CWELUdK5iMfoj0ZAf+oo9CLSNEReEfu7JYVvSUmC7WUG7Pm58gtBRpQiEqaI2Ds4AN/EuJCkTkgyGEUGU24E3m23DL4PzO+GRch8OJTmUvskdU5Qp4TVgsCkTty0Y/D298JNKW1VhYzyrOmp4oZ/KNLKWzBcF6nrhdNCYEehPUYSEdFdhNgoyhOy0AmxkNxIbCQ1Q9R1mO5GyxTYLFJRS2qSfD2rEKktN1uky69hp3a9inIRZQmBvKmFq+ENHI0N0NPA89I6JLyowv4n1fj5USNWp/fiSuUE8jvUGO4dhaVHHKsQjqdTpLHtYmujrRXu1mZ5Dq6mRvGa9XDV1sjzIVGRyO0FInoV+6eUmFJ1S9ozeXymR/dhEpGs8XYkDDcuy9SazkUnBKg7FgEdRY50riRHiiTF+cvfC7nKc74szlnIl66V6bGQpHhdGUWWFsFVVyOOrUVeX9/oCPwakWobDCLKtsqOHRk9SinyXfh7YBEyb/lHN1JARH3UlkW9sSaTjPiow4IiGGrHs+VkwvwsHiYRYRluXJFtdBQ96YTktBQ1zURIJLwzx4Xszimyi42GWUjEkpQAq0ghbTlZsAvhkHxIbB4hKW+vSCMH+uEbpk6KMfjEvv06LfxCBjJaslplWum3O2Cz2NE1YUZKmw4RJRNYmjWG1XkqXHpjRNGoA+MW6uzxiOhVfGY9QiJusZFMZjenbL+boo1SVZHSU7tewGQUwteL/Wrk/ila840Oy8iNOm1cHW1wCQm7aqvgpHbNwnx5LtaX6VLi5vjHMN2PFaK8KSJX+lI4I9N+7fHDIsqla7RXSbcp8hWRMUXI+rMnlC+FWzfEc+/AkvhEypfaTOn6uNuFHIUYZbsjRYoswt8Fi5D521C6OxP1WSwyCiEZyYhPiu+VbP+im5va8/Qi2tOKiG4mZdTKaOeo0vlw7ZJsNzM9iFPazEQ0ZS8phLO2Wr6ep1ukggMiFSTJif3INjMhHiXiEWLyuJW00CtETIUrRAQkU8N32s/oJ6t3Wll8vd8uq8j8UqDD+pJJXGk2o3icqsj4P2LdYfEsuU8RDVPPNm30xUA93NQkIHu5bbL3WDYNiJSWrpmMlEeG4OnrEeJqFVFmHZzUo12YB9url0KSIqJ8+hCme3dEWi5Scur0EZLUSUmKFPyIuJ4UTR4lOR4KyvECDCLypEiUrqNHyJhS53evB/P+sAiZXyMiCpIM3dgUZfjUahH19cphJBSlWZ4nyxvWcO2ivCF1IpqhlFZGeeIm1VGKR9IT6Z05/pGM8Kj9y1leJl+DOkg8FNmNj8qITkZZ1HNM0Rd1EpBYaEziTCfBe97YNAba4puW0+aS+x04ICRIa4ysKdLjeotFFlCgeoIuqnodfM4ngSKyoCzlOVDK6hOipPGN9IUiZCWjSxoORJIcG5US8/R0ydSXJOmoKJNpPzUBmJ+JLxrx5UHSox5s2VZJqTa1kYqN0mnLswQ5xIeidLlP5oNhEYYTfy/1lQIU0Z+IaGgYi0x5xU1J7Xzm5AQpNv3lc7INTyPbuUT6JtI5/aljsi2Moj1q/LdmpCppG0V6IlWktJF6ieWNL6I7ippmekSlMP7W8XwAv5o73GfDgUpl2pysItOorDGimq0nOE8+pXQcdP5SlEL+ItqlVDxgE5E3DSWi1Ht4WHY0uZoa4KgqF6k2yZF61qmjKU68J1HyS8n26oW81tREwCL8fbAIwxmSH6W+DodMRWn8niK/HJgT42GIicLkpbNKLymlukJ8upOH5RARA6W58Q9hfZEuI0VXfS08nR3KQGONZnYoCI2TA93olE7SGjJz/CmhSNDsCUgJJvbaxefSgF9EJLieyus3WRQJzhRQoF3P8w8pXSO6VnTNQE0B1B4rIma/0Si/oLwigvSKLymZYjfUyffL09UhUnCV/JJ53wia+TUswnCEBCijP6ucqUHRhKO4SLbdURsVdWTMNtyL6I+iQGqTosHLNNyD0janEB/1uPpGhsUNSimuEB/NqqDB0hTtkfQ+cfRFkaBFRILtBo8soLCvyigkqJVrjNwQ6XC5kOCCryJD15DeLyE42WQh2yNd8lpTBCjbUa0W2eFD0eWnvuahCoswlPnrm4JuKI9b9rRSu5SrrlqkWulyyIechRGxDxoaXLxvp2yc1188q8gv9ZmI+vJlG5+3r1cZukG9lNTbKlNc5Wb9nFAkaPMqkWDSOwUUqLw+LbRUqaLF1/2yikxIu0Ge3MzG/F5YhCGOjCREmhWg6E+tktEfSc0c/0QO4aBODjlgefdWGQVSbyUNf6HxejRuztXaLOf1+nU6maLJ4SWU6tI4QpnqfmbEh4ym+lEkSEVVZ9PhfB02FutxU0SCFTOLr5Mt2RHMe8AiDGWEBKkBnoajuFqbYMt+JWdQ0Pg0mjqm2rxWThsjGdK4P0viUziEJN2tLbKggJwX63TI8Wkk1PkABUC07nC3iXqHRTocLK+/ulCHyGaLrCeoD0aCDPO+sAhDDWEK2QFiExHg+CjcTQ1yrBr1+tJQFzl/dst6qHdtkW1/9Hsa8OuqrZZjBP2TejluT7bxzTPo80USpHWHaaEligQXv9ZhtUiHrzSZZST4tqgqw7w/LMJQgORHqSqN/RNRnHdoUM5ZpTF8xuhIOd6MCgpQIQJq+5sU0Z/5WQIcJUXwdLTLSf80M0MOWJ7p6Jhn7ya5jRZfp3WHU2nd4WojluYrbYLUMVImJKgRkSCtOzzbbMYw7wmLcCFDdzwZwuuVMz+oLY8KG1DnBk3sJ+lR5EdVWnTHDsEYdR2W5ynyMTSLg+aqyuEt83zIhZIOT6PX5EOakGAESTAvWF5fRIKlQoJqhx8+jgSZ3wmLcIFCbXZy9ofJBN/QkJyUb0lPlVPdaGrbTMUWKnBA4wFpfiqN9aNxfjTGjwY1K6HT/IbcJtNhkmC/A4elBHUiEtThMq07TEtuCglSJMgwvxcW4QKDBttSKXq/SaTAIgIkuZHkaCK/7vgRpXRVxF5Zlsr8ME5WSXE2NQgBDstxZzICpNkHC0CCtP6+1Uttgl4ZCZIElwfTYVp8vYgWX6e5w7zkJvORsAgXDOJm9/vlNDXv+CioPBRNtzKKaI86PahQqXb/bjnX13g/FvbXObKcFA2YDtht4rm+4OssDCgStFPvsNGLlH67SIcNMhKkdPhyoxIJ0txhGizNHzzmY2ERLgDkjAKHXY4DpHF9VNrJFHcH+nOnRPSn1LfTnz2lzDt9nS0fQ/N7qXwU9SAvqHBJHCq5TRknSIOl7XLdYZoxsq5YL9sEi4QEKRKUEgw+h2E+BhbhPEYOhqaOEINRLhpEZd6psAGlvbJS8+F9Uoa0jgbJ0dXSKNfHoEKp1IGyEOedzkyb6zAo6w7PjBNcU6gsvl4yW0WG02Fm7mARzleoM8TpgHdiXLYDUk8wlbeiKscaSoFPHZVpMZVqotXbaNEjqhyjDH9ZmO8EBXjUJkgSTOyhSNAoJbhKSJDGCZZNUO9w4O0QGYaZI1iE84zpKXGTezxyxTOq3UeRnvFutOz9pQrPNCbQcPM6LOlpsoT8bCeIeM6CrTwiPjgUCVIVGZJgQo9NSpDaBDeIdPhGi1kWUKAhMpwOM58CFuF8gqJAh0OuSUHFOWndCqpSLHuC9++R5a/MCY/lWr1UL3B2HCB1ry5gAkL+M5EgFVCgdHimlFZUqxmVamXuMA+RYT4VLMJ5AlVlpvF9VNOPVjWj1dNoHKB6+xZoj0bAEH1LDoWhRYaoBDyNIVywEeA7UO8wFVWVHSMUCQaryKynSLDZIj5bLuhdYVBFhvmisAi/IHJxdNkW6JQLAbmqK+WKb7SymWrbBjkomoRopdkgDfXwjY8ra3hQEYSFbgVx+LKKjIcqS3tkJEiVpWnGyMYSJRJU5g6/M2OEP2DMJ4JF+AWRErTZZJpLbYEGIT0qiqBav1Iu90jDYWh1OJo7TCXcadGiUIE87pypIiMkuLdiMtg7rEdkiwVVGiUSpLSZYT41LMIvgbDAlMcjU1yqDkNVn2ltW/WWdVBtXgf96WOyl5gGRNNqaAttMPQ/gj4nNG2uz0RVZGw4KKvIUCktZZxghUiHdSTBhR71MgsGFuHnYOaGFn/LIqk0O2R4EI6yYhn10Spw6u0b5dQ4mhdMa4BQBekADYhewMNhfouZNsEeEQmm9dtxqNqAZTRtrlhZbY7WGFE7A29njITOqTPzGBbh54BERhtJ0GRUOkQyX8jlGalDRLNrq1zo25z4FM439fCJSFEWRQgVgh8MugSUDs9IMEJEglRKa+1MFRkpQT+EJxnms8Ii/BxMTclhLrTWh7uxXq5Dqz93Guo926E9KKLAm9fkYum0dCOtBUK1BUOK4PcAzR3uFRKkdPgwRYLB3uGrTSaUjDtnB0szzOeGRfipCF4MOU/Ybns7NvDRPVkkQZkdckz89wP5e9/osHycUhlGeW6oQENfaJwgdYzMpMNURYbGCV5vpsXXnZiYXXc4+CSG+YywCOeSd+9i+lFEgtQeSL3CtFaw4XakXB6T0mH9hbOwpiTB1dQIv04rUmHP2+eH0IWUbYIiEqRxgsl9dtkxMrPkJk2bK5Vzh4UEZ9oEGeYLwCKcS94RoVIswQB3WyssGc8xefk8NAf3yEoxhkiRCmdnilS4Q7YZTvsWRpHUD0KcDrlNGSeozB2mcYI0Y0RWkZGRoCJBWU8w+ByG+RKwCOcSkpnYSII+EeXRIujmp49ECnxctgfqjkfAGBcDe0kRvLJX2IrpQOiMDXwXv7gOyuLrwSoyFUYsyaXy+krvsKwsLYuqToXcdwCz8GARziVBCfo1KjiqyuXSmZqDe6HeuVUWTTDHP4azrkbWFZyi9YFD1AAUCVq9ASFBT7CAggFLaLB0gUiHm80on1ljhNNhZp7AIpwr5FQ5B3xjo3CUFMIYEwnNvh1Q09CYi2dhTU+T6wX79Xo5mHq+rBM8l5DXZRUZGQl6EC8lOCnHCdK0OZo7TKW0NA4eJ8jML1iEc4G4+aecLrmGiP11rqwbqN6zTa4gRz/bcrNkh8mUxSJyRkqFQ/NKzawxQukwVZbeKyLBmQIKN1uVxde1tNAST5tj5hkswo9FRoJO2eZny34lq0ertm2SbYKGWzfk2sEUJU65XfKxoQq5jSRIHSMJwfL6P79WSmndEOlwldqFSZey+DprkJlvsAh/D+JEZeWYQEBGeVRG3/oyXZHg9o1Q798NY2yMXD+YBlHLmoEh2h5I14L8ThKcXWMkOGNko4gEo1os/6GKTKheCmbhwiL8ncjKMXY7vD1dskyW7uRhqLdugObALhgfxMke44BxMmR7hWcgqTl90+g2+mTv8J4KA356rUybiwxGgjP1BBlmvsIi/D1ICdrg6emGNSNN9girtqyTYwRNj+7LdYT9RoN43DtT5UIwDKJTeltFxoGDVUYszqUqMsoaIzORIEuQme+wCN8XcdfPpMO0SpyHIsH0VOjPnZSdItpjEbKMvqupSUiQBkmHdiRIbrOLdJjmDqf1zyy+rpOLr8+sNkdDZOTcYfYgM89hEX4Ask2QCql2dyrpMNUQ3LVVDpQ2Jz1V1hOmhZTeLZoQgheFTonS4R4RCcoqMrT4+l9Xkfnr3mGWITOPYRH+I2ZSWpHmTlmtigRFJKg7cwLqnVtkAQVzUjzcbS3w03Q5IcFQvefpUshIMFhFhuYOHxKR4FIRCa4vViRIkaAquNpcqF4HJvRgEf4DZtcVsc2kwylKOkxT5k4chSUpAa4WEQnKOcOhVUn6r6FpczO9w0oBBSOWzaTDQoJFwSoyPG2OWWiwCP8BUoIOu5SgJY16h4/INkHdicNSgu6WFgRMJkz5Q6yG4F9BkSBVlu58Z7C0nDZX+DYdprnDyuLrbEFmYcEi/C1mbmTxd8AuJNjbDetzkQ5Tm+COTUo6/Eykw62tytrCfn9IfgkQdCmov0NWkRESTAwuvr4kTydLaV1rMqFURIKUDs9GgqF6MZiQhUX4W4i7maIamjHiGeh/O0Rm20bZO0wVpuXCSjMltEIYGvpi8QTQ9m4kGJQgzRiREpRVZOiaBZ/EMAsMFuFvQRJ0e+AbHpLT5igSVG1aB82h/XJdEaoxGKDe4RCeN0zIdYdFOqwUULBjn4wEtVhbrJOltGjusDJERl4yhlmwsAhnmLmTxV80L9g7NiarSlNBVdXWDdAe2APTk0fKEJlg73DIIq6BrCIjIkEqoJDQK9Jh6hgp0MkqMlRAgZbc1DqV3mH5xgcvH8MsRFiEfwX1/PrUE7AXF2DyygWot2+WpfXN9+PgamyA32wKRoKhC7nNJsK8DhEJJop0eI9Ih3/J12GDkGCUkGCVxj07d5j9x4QCLMJ3EVEeLbrurCzHZOQVpYDCnu0wxcbA/aYefuoYCeVIUEDvobLGiCLBfVVKm+D6kkkZCdYICXIVGSbUYBEGoSgvYDTAVV8rK8eod2+Vw2QM0ZGyikxArxePCeFxguLNoyoyNESmy0Tl9W3iPaZIUCskSOmwFZUqN/RCgjNVZNiETKjAIpRMI2C1ygrS5of3oN2/G+ptGzF5/RIcZcUI6LRAiM8dpvdOVpGRElTS4Z9ydVhTqMeNFqoiI9JhIUFqO2SYUINFKKKbKZcTnr4eubym7sgBqLdvwuSFM7AX5MI3PiYkGNozRgiHfwp9Zp+cMUKrzSlVZGicYLCKDEWC7EAmRAlTEdKRTiuzRlwuubg6ldOfPH8amp1boD9zAraX6bLq9LTDoTwlRKEWTzl3WEhQFlAQ6fAyWnJTTpuzyBkjGuodnkmHGSYECWMRimCQlt3UqGU5fcONK7KSjPbwAZifJcDT3YUpkiA1nIUolOU6/FRFxosUigSFBH+WRVUVCZZTFRnuHWbCgPAUIRmAeoiNBjjf1CjLbh7YIxdgN92/C1dDvRwwHbISFKdPAR51jFApLaWAQnDxdSHBq8FIcKaKTEhATSDi/eR50MxvEZYinK0r2NEmi6lqD++HZt8uGG5dh7OyTK4zoqw2F5oEhBTerSJzoMooJKjFumIqqqosvj5hFxJc6NPmxMFT84fP54Xb6YBdvOd2uwMut0e8vYGFfW7MnBKWIpxyu2X7n5xDfOII1Ds3yxkk9vxc+CbG5b+HKhTjytXmqIBCrw17aY2RXC3WUAGFdxZfV6rIKM9ZsEwLCXrcsBj0GB8eQHdnJ7p6+jA8roLJaofXxzJkFMJHhMGDU2aOqGDLy5GrzlFxVf3Jo7C+eA4vrT3sdMooItSgG15WkZFzhxUJ7q+aDJbSUiLBsgm3bBMMlWlz09MBOG1mjA/1orGuEvm5OcjOzUNpVT26B8dhsjl5PRVGEjYilG1DYqOKMc6aKhhuXIZ6x2ZoD+2DJeEJ3B3tsgK1bDwLQZQqMkoBBRkJVk7KxdcpHb4hJFhOEnQEQmqNkamAFxajDv1draguK8TL58mIj49HQsoLFFc3YVRjgFtEheFKaH7Sfx/hI0IR5dF4QXd7K0z37sq6gjRUxhgbDXdTAwJGk+xACUUovjV7qZQWVZGxYR9FgkKC64UEb7ZYxPtHc4cD8H10OkwdEgH4/SLq9nrh8XjE5hUpqB8B6qgIPupDkVXCRZpLnR1vN/rd2+3Xv5fPQsDvgdU0idGhPrS3NKKsKBfPkxPx8EkCXr4uQ8+wCnZP6I8RpQsSCPhlW6lXvCdekRX5qZ1cuVCMIGxEKCvKDA/BkpYMzf7dmNi4RhZVcJQWI6DXYVrcuME7KHQQp+MXm1mkw1RPUJGgAcsLtNg0U0AhOG1uNhL8iEtAEnS7HDAb9FCNjaC/rw99gyOY0Bpgd3k+6MYj8fm8HjhsVhiNBkxO6sU2Obvp9TM///r3ymaAyWSG1WaD1WKBSTxfp1Ghr7MZZQW5SE1LR05BJXpH1LC7ffP6c/sxyC8Ivx9upw0GnQrDQ/3o6xvAyIQWJptLyDB0h4Z9KGEhQuol9mk1sOflyurSE2tXQHvkAGxZmfCNjoRscVX6nFPHCFWRSRAS3FNBkSCV0prErTarnDanF5Ggfw7uB7rpfOIzYDFq0U/Cyc9GanIyUl/morKxE2qjVdx47/kJEQ8LeN0w69Xo7WhBdWU5SkpKUFZegYpKsZWXo7S0BMXFxWITvy8rQ3mF+H1Fufi5VPxbGaprG9HVNwKd2K/T7YHTboN6pA8N1RXILyhCZV0rxrRG8bkN1dRYSFBEgW6HFerhHtRX5ItoOB4JiSnIKa1H37gBbm9oTxv9EMJChLQOsbO+FoarF6Fav1IWVDDHP5bT6qacDnkThxrktpkhMiTBfUKCi18r6XBUqxU1Gs9sAYW5OH26hl6PCwbNKBrETffkznWcOHoMZ65E43l+NYa1Jpl6vxfitTw2EwbbG/AqNQFRN67j6vWbuHvvPu4/uI870bdw+cI5nDwuPn+nz+LK9SjExN7D/fv3cDfmNq5fu46omAfIyC1H94gWDpGeuxw2TAz3obWxAW8aW9ArO0tEVBSibcJ0rwbEPWk1qNBeV4Sk2Cs4uHsLtu85hOsPXqC+WwWHiIYZhZAW4cwUOlqC0/zkAdTbN0K1cTUM0TfhamzElEibRD4XfPTChq693MQf5BullBaNExQSrDQoHSNFSlHVymAkONdVZPwilTVpR1FXlInoi8exfet2HDx9A6n5NRibtL5/wYbpABxGNZqEUGNvXsGhiMM4cfYiYuIe4P69OFw9fwrb16/AD99+gx+WrMD2AydwJfKO/LeYqOs4dfwIDh87jVsPUlHV3CeiQrNIjSfQ09mG5qZmdPb0Q603ikjRK9P1OTr9eYefIvTJCTSVZ+Pu5UNY8dPX+OanVThy9QnK20Zhd4X2MhMfQkiLUJbbHx+D9WW6SIX3i5R4uVyP2E7tgkZjSHaOkNYdcvF1IcF+pXdYGSeok73Ds1VkPoH/p/w+WPRjQoQvEXX+KHbs2I0TV+OQW9kCvdUlj+29mPLCJl6nobwAj0WUdzPmPpJf5KC2oQn1tVV4/vQuDm1bjW/+9G/yxj586Q5Ss4tR/+YNasqL8DzxEaKjohD36BkKy+vQ3tmFhvoalBQXorSiGk1tXRhTaWG1O+Hzh26nAbXZehwWEVnXIC3uAjYu+w5//nYJ9p2/h5KWEdhYhLOErAgpGqQiq46yEugvnYVq8zpoI/bBkpEO7+hISEqQoCoyvWaSoB0Hqg0yHaYlN6mKjKwnGOwd/hTQcBWjZhAVuam4fu44Dhw6gZuPnqOmbUDcdB/QKRHwwC4iwu62JpSWVaCirhVDE3rZ++ywGtFckYvIU/uwfPEPWL5hF24mZKGxdwIOlwcuuxljAx1SiAV5+bK9sKS4CBnPU5GQkIDUjFcoKKlCa2cfNDojXB5faPeeiujaqBpAReYD8eWxEj/8uBT7L8ShuHkYVhbhLKEnQkp1hARpGU5XGw2VuSOLKWj27oDp4T24OzrkOsWhBrnN7p1Gr4gE0/odOCgkuDQ/WEBBrjbngiY4Y+RTvVF+jwMTA63ITn6As5SenrqEJy+K0DmkhptWeHpPpoVQ3XYTNKpxDAyNYFSth82p3LRuhxmtVa8RdXo/Vi5ZhJWb9uBWUg6aB8Q+aNrclB9OIUvV6IBIhVvRWF+LooJcpCQl4NHjx0hMTkNmTiHqmjowpp6EU4jwb3uQ/iH4eRLRrlek/m63Cy6XsrlnhqJQUV+KLOlx4gt2dqiKeLwyhIie5w4+zw2PNzh8hb6sxXO9Hvo3J5xOJxwO8ffMY8Rr0nRIan+lXnT5unJYkvh32rf4WR6TeK7D4ZDPd3u88jVpGJFyClMwa4ZQlf0Ex3auxo+LhQjP30VhwwAMZpuceUPPc4njmz0u2p/y7LAhNEVIH5IR8Y2XSSnxAai2rsfkjStKpWmTWX6wQwm67nYqqjo7d1hZfH0t1RMMTpvTOIIdI8pTPsF7JT4bdiN6m8qRGHsDRw4dwqkr0cgsbcCo1iyi0Pe/5tM0FlF8npxOB2x0g8u5weL54qZ2WA0yIrxJIlz8oxRhVKKICPtEROgRAhDvP6XoNGTEbNRjfGRQjiGsKi+Tvcyl5ZWorW9Gz8AIJk02GWX+7YtB4xP98LgcMBn0mBgfxdDgAPr7aRhKPwaHhjGu0kCnn1SG61itcj6z1WyEVj2BUfEZHBoexujoKIaHBtHT3YWu7l4Mj6vlFD+nEBgd48ToMPp6utHZ2Yn2dpoG2C8fM2myyohVkaULFpMBqvERDIpjGB4egVqtlsfU292B5qYmtLR1oG9oDHqjWYl0SYbiWppElE4iPLpzjRDhL9h7JhpZ5c3oE+cx1NeFtrY2dHb3YVSlg8Xuks0Fc//5mN+EnAhpCp1MiStK5bojNHtEd/wQrFkv4Bsblf8eMogLTtGMLK9v9CFJTptTOkaUxdfNKBORIM0Y+eRVZKb9sBlVeFPyCjFXzyAi4iiu3olHeXMv9BbXh1W2pi8z8WVFmxwkTc+VT58W0d47IlwyI8JsNPWphAjf3sCKTL1CpnY5jlCr0UhxaDRa6CeNsNjs8IjPAr3+3yIgPusOqwkTI/1oaaxHpRyeI1LtkmKRduciOysL2bn5KCqpQH1DE7q7ejEy0C+H/FSVFiDzRQbSM14iJ/c1crIzkfIsEfFJKcgtrkLXwBBGhgfQ8qYaRfmvkUWvlZ2NFy9e4Hn6S2TnlaC+tQcqkb7bhFxNejW6W9+gIOclkpOTkZGZjdKycpQU5SM16SnuxsQg5u49JKZloryuBSNqg+wVpuugiPApju5ag+8XLcbWw5fwND1PRMp5yM5IxqOHD/HoaTKyCqvQOTAhZfipPy7zjdARobxZlJL7MiV+/ADaQ3uhPbAb5odxcLe3ICBS4lAaKqOMEwygU0SCz+Ti6zR3WCM7RmbSYZVdSJCCnk982lN+NyYn+lH0Ih6XTh1BxNHTiE3MREv/OKx0Q87F/sWL/H0R/tW4OPF4ZaYLpaq+2Y3++x/NrJiZpzzW34mKwhyRWifKtPpVbh7y83KQnvwEUdcu4fjxkzh57gpiHyUi93UR6qoqUZyTgfu3r+DY4QgcOHwc5y9fxfXrV3D21AkcO3ke0Q+SUFhWgVLxugn37+DmzduIe/gUqWlpSHjyADeuXcHFqzfxKDkLda29mFCpMNLXjryMBHFtD2H79u2IOHYGt4X47sXewYXTx7F7+xas37AR2/cewpWYxyiobsG4XkTiIjo2qgdRTSIUqfHXX3+L1dsO40ZsvNjXY8RFXcXxQwexe+9BnLocg4yCGgyrDKFRdOMDCCkR0uwQJSXOgO70MbkC3eT1y3CUl8Kv1ciB1aHy3lLWQwUUZgZLUxWZH2V5fR2uBsvryzZBKqX1yVsCpuFzWTHW24TnT2Jw/PBBHD19Fc+ySjEoIpM5i0Y/VISC37vnKb8Hk6oh1BVnC6ndwIWLV3DncTKKKuvQ1FiLolfPcPnEASxdvBg//LwGh8/eQGpGLqpFCp6T+gQXj+3B8p9/xKKfV2L7vsM4f+kyLl64gAuXruHuw3i8yspE/L3bOHX4AI6cvIj7SS9QVFqMnIxEXDlzBDu27xKveRPP86rR3T+Igc5GpD2Mws7Vi/Hv//pH/Lh8A46du4o7d+Nw48olHDu4C6uXL8G33y/Csg27cf1+Kuo6h2B1umBQBUW4fSX+/KevsHTDPiHLpzKyfPY4FueOHcT61auwauNuXI5NxpvOYTjEF+xMM2M4EDoiFN/yAYNBtgMaIq8KCW6D9tQxWDKewzs0KKvKhIQFxTmQV5QCCspgaZKgbBMU6fANEQmWUXn9maKqdM6f+rwpejJr0fWmBA9uXUbEwQicvXYXOWUNUBksQsbU6E+dCP94U+YLz2wUlbxz8L9DhL+XgMeB0e4mvIy/i+MH92HvYRHhJr1Ca9+ISLPH0dNYgruXj2LxN1/hj18txoGzt5FTUofebhFBvk5H5GkhyZ9+wHeLV2LPsYt4mPQcWdm5yC8oRElpKcqL8xAfG4XTx47i/I1YvCyqRivNoil6iZvnDmH9mtXYsOsY4lLy0dY7hLGhHuQ8i8OeVT/gf/3T/8B3SzfhfNQj5BSUoahQpOFCvpdO7sfyn77Dv3/1A7YduoiM4nqoJi3QTwygOucpjggRfvXV11i57SjikoW0696gpb4CaY+jEbF9A5b8shr7ztxCQV0HzC5fWKXHISFCulmorL6nqxOWxKfQROyFet9OmO7HwtXUpFSVCZF5ldSLOCvBXpo2p0hwvUiHqYBChcot1xiRQ2Q+0xsyFaD0awi1hRmIvHgSByKO4npsIsredEClm4TZbMKkgeYH699jm4TBYIRFdiZ4/qqT5fOJ0Oe0oK+5Ek9uX8T2TRuwZe8xxAp59I7rYXdYoB5sQtKdi1j147f407dLcezaY1S3DYpj16OjthgPb5zGhpXLsHTNVpwRwiqua8XgyBi0IjNRTYxisKcVpbkvkUA92amZKK56g8aGWhS8SsLF43uwYunPWL5pP24n5KC9fxyTuglUZD/D8a1L8ec//gFLNx3EvbRCdA9T2yelzq3ISbmPw9vX4at//zN+Wb8Hsan56BnXQTPWhyohwqM7VuHb7xZh6+GreFHajFGVBmbdKGoLMnBFRLC//LwC2yIuIrOsEZN2T1iVKAsNEVLbD9UYfJ0N/blTcriM/vI5OEoK4ddoZLQYCsh02BNA26QHT2naHK02JyS4gabNtZjl4uszM0ZkIPWZ3hC/14Xx/ja8TnuIs8cPIeL4Odx/lom61i709/ehs70VdbU1qK6uRlVVtfL3b21VVWKrQV19Izp6BjChM/6V3D6jCEWq39dShfiYS0KE67BxZwSinrxA28AETDQ8Z7AZKfeuYuOKn/HT8s248uAl2kf0cnjNYFsNnsVewc4tG7FhRwRuPRXPG1TB7hb3iHhj/F43bCYdBrtaUVlahBwRKebk5iEn6yWePbmDUxE7sFyIcAWJMD4XHYNqWMyTqC9+iQv71uKHb77GhgPnkVHaAoOD2kB98NgNQsCFuHPxCJZ+/y1+WrEZ1x69QLM43omRHkWEO9dg0eJfsO/cXRQ1DcFsd2LKZUJnbQGiLxzFymWrsPXAWaSLSFJrdb+deRQGLGwR0t0uNppL7GpqgDEmCpo926E7GgFLahK8/b1yit0XM/RcIY6fAqOZSFBWkRGR4LJ8LTaW6HFLTpsLLrn5udLhIDS+zS0ipN7mKjy7F4mjEQdx4sJNpOaUorW7Fx3tzagsK8arly+QkZGB9HTqSf3t7Xl6uvj3F8jMzkN5bSN6RzVy0O/bU/mMqbHXifG+FmSJdPTYgZ3YsmMfzt8KRnbDg+hqKseT6EvYsXkjtu47iaevKjGks8DncWKwvRbP4q5g97bN2Lz7KO4kvkLniFbcI8rx0cBzm1mH/o4GFImo8FlCIhKSUvD8eRpSEu/j4skDWLdqBdZsOShEKCJCIdEZEZ7ftw4/fvcdthy6jFeVIoV1i8//1JRM5Yc76pAUcxEbly3Gz6uEnB+mo6FvDOPDigiP7VqLn5Ysx4GLcShpHYXN6cK0x4Ku+iIh0GNYTSLcfxbPi+qhtriVMadhwoIWoRxo6g/AOzYCa3oqtCIlljUGY27B1fgGAZGSSVkucGiEh01IsENWlrZjd7mSDm8UkSBJsFpEgiTBL5HK0ABmu0mDxvJc3Ll6BgcOHMLF249RUNUkS+KPjgygo60ZNdWVqKiokFVi/tZWRn+XV6K69g3auvowrqWI8N3hTp9PhNMi3ad5041iX3GRFxBx4CCOnr2Kp2lZKC0vEwLLQNytazh1+hxu3k9GVdsQTA4PAm57MCK8KkW4Zc8x3E3K+pUIvS4bVEOdssPlzs3ruHbzDhKe56CsqhJVJdm4H3UOOzatx/ptEYgWqXHHkBIR1hW9UET4/Xcivb2C7KqgCMVnfMonovKeJqQ/uIHta1dg1YaduPn0JVooIvxrEV66J0VodTiFCM1ChBRJkghXBkVYxyL8+8wzEdI3oc0GZ201JkUqrNq8VvYWUxl+2UtMNQYXOHRNaZwgrTFCkSC1CdLc4fXFk7gtJFgnJDgpJRh88GeGip8aVAMoeZWESycPY3/Ecdx6lI6q5m5Z7MAqonWzyQi9TgetVgvNP9x00OsNMJmtcsrcr2vmTcMl0tKWipmZJYoIbyXmoLlfDeccilB2AAnpDnXWIzP5Ia5eOIczF67i7sMEvHyVhazMF0hJSUHqixxUNXZBa3LIL6KA24YhGRFew57tW4QIj+Lus2x0jerEPUKza6ZgM4yjqfwVbp49jG1btuPYpTvIKm/C4MiQiBKFROOERLdswLqtB0RanYVWEdUZjVrUFqbjnEiNF333DTZHXMKrinYpQip5O+VzYkQca6rY704h0a17j+HxyyL0TehlG2F1bjyO714zK8LSYEQIrwXdb4pw95IQ4XIS4Tmki4hQI1JjFuHfZJ6IMBjl0brEXpGmWJKeQrN7K9TbN8H0+L6sNjNNCzAt5GhQHDopgBZf7zH68KxPKaAg5w4XUZugVVx3RYJzXUXmQ6BUcLy3CRlPo3H0wB7sPXRKjh+sFiLUGsxCZm74RCTk89IUNZoS9ve32bF+1IssvujePSVKwx0iMmoqzcaNE3ux/CdlrnHk01do6B1XiqzO0TWQka5Zi/62WrxKeYpbkTdw/WY0HsUn42VWDvILi0UEV4eWTopcDXCKfU8JaXudFgy0ViPx7hXs2roJm3YdFlFdJtpFROik+n/TfkyOd6P4+T0c2LQSi35chv1no5Fb2YqBwV60Cyndv3EaG9eswLJ1O3HpTrK4lj2YmBhFVX4azu5Zje++/jPW7D6FlII30Fo98Hg9cNkm0V5XjEdRF7Fn124cu3BLvGYTNEYrdON9qMx6LMcRLlos9nchFiU019juwJTbhM76AsRcPIqVS1dgy74zSCuohcriEiJ890sotFnAEaH49rWYYC8ugO7UEag2rIL+7Ek4KsoQMBrorgk+boEiDt8pF1/3IVmkw1RUdVGuBqsL9bgRLK9PHSNf9rMqIjSHWUQUJXggbt7tIhLZsvswoh6moLCqEUPjWpF+iXRxLo5RvJ9UX8+kHUNlTgrO7tuE7//87/h+6Xqci0lCeXMfDLQY0xxdEGrHM6gHZUmx2MhLOHb0GE6du4zo2IdIeJaCjMwsvC4oRXVdsGNHOwmr2D91gnQIIT24cQobVi3H8vU7cTk2CfXdI7A43Zia8kE/2oWClLvYufon/PGPf8KyzRG4/TgNuSKTyUx9jLOHd2LJom/x1Q/Lse/UTaS/rpAVdEqyU3Bm1yr85d/+BYvW7MLN+Fdo7hnB2LjSC53/MhmRl87h2KkLiEsS/9Yr9ilkpxpqR35yNHavX4yvvl6EbccikVPdBZ3BCJeFmjWycPXEPiz+/kes2noYTzLLMKSzKuu5LPDb6H1ZsCKcdrvg6emSHSRUdp+KKliSE+EdGhKRoif4qIWLU0SCfWYfUmjucKVIh0UkuDo4Y0R2jAgJfvnUZRpOm0EWQbhz6Si2rF+DTTsO4HpsPHJL69A/qobVKUQ4B19KVG1ZVpbp70Bu6kMc27Ue3//lz/j+l7U4fu0esssbMUqR2d8tovD+0EwZ7UgXCtNJTLuxdvVqrN+0HQeOnMCZc+dx6fIVXL56HTejYnD/cRKyCsrRLKLDwYFe1BRnIebycaxfuRTL1m7FmcgHKH7TAbXJKmd6WLSjaCh6gUtHduAnkebSWMPdh0/jZnQMYu/cwqkj+7Bq2c/4/qdl2Hn4Ap4+z8ObplYUZaXg9M6V+NO//A/870VUfuwuXuSVysrcxXlZSBDZUFTUbcQ9SUVpfbucnucQ12yoow4ZD69i+9ol+Ob7JbJ9Ma2gHgPDYyJaHEDF6zRcOLpXyHcxVm05iNjk1+gY1sl6hQs9nnhfFpwIaR/UNuhTT8CW9RKa/bswsW6lHETtelMvokSL8sAFCkmD6gmSBNOolFaVUc4dJglSAQU5WNr5aavIfAgkp66GMsTfuYqjEftx+MR53E96iaqmLqgnLTKqmIvDpHm/FoMWve0NyEp7gsunD2PH1i3YsfcwrkQ/QVZxjVyDxOJwiwj04/eoiLAHJZkJuHh8H9auXI5flq3A6nUbsGHTZmzavBkb6e9NW7Ft536cuhiJ+LQslFVWCSm9wsOY6zhyYB/2HzqB63fj5ZS3Ua0Rbq8PblpitLdFVuk5f/wgduzYJQR7GpExcYh/lozHj+Jw5eJZHDl2Aldu3cerwmq0d3WjPFekxrtX4as//DP+tGgFDpy5gafJGch48RIZaal4lpyC55m5qHzTpnQ0UTUbsx69IlXPiI/GyUN7sGOXONYrd5CRX4mOrl4M9XWiPO8Foq+dx57duxFx4iIep71Ga9+4iCZFBBsmJlx4IqQOEqpIUleDSZEGTKxZCu3BPbBlZyodJMGeuYUIXT9qE+ymdFhIkMYJ/pirExJUqshQPUEtDZYWN/rMtf6iH1Oxc6/bKVKvblQW5iD1WSKS02nSfyuGVHo4ghWg5wJZdt6ow3B/F+qqSpGVmYHk5GdITk1HTn4p6po7MTyhE6n4XIhwGn43pZTdKHudLnuHz54+jVOnz+Lc+QtiO48zZ8/g5MmTOHrkMPbu3Yt9B4/g4o07QkR5qKysRHFBHjKepyEt/SVyi8rQJKJF9aQZLi+V7PLJTp/Rvg5UleQhXUgsVTyuoLQSja3taGtrQXVVOQoKC1FR8wbdg6NQqcZQU5CO83vX4Ns//xuWrNuJq7GJeF1cIYsvVFRUou5NE7r7hqE1WpSSWlR0gvYz0Inq8gK8TE9FSlo6MnOLUNPYhr6BYYwOD6C9qQ6Fr8X7l5qK9JfZKK1uENG8RjZrzJbzCnEWnAinqBbb8BDMCU+g3rpBtg2aYmPgoXWJ3W4hygX4xolDJl9Qef1ukxdJvUKCVTRYWkiQSmm1WFAuJTgf0uF3EAdNNzVVaNGMj2Cgv1+kW6Oyk4RKZ8nOjjkSoVJayw6zcRIatQpjY2MYDW7j42poaAaL1QG3SI0/WoTT1FGiQ3dzNV6lJeLhgwdITMnA68JSVNXUygHhlI6WlhThdc5LPH1wF9euXMK1yBhkZBejS8hoXKUWxzUmj5N+1huMsDvdcrrh1PSUTPW9biqtZYRGo4ZKo4HBZIZdfMk7HHZYLGYYjUqVHKoVSOMO64oyhAjXYtG332DDvjNIzq1C/5gGE+L1tTodjGaLnI1D7aRytlVwH1azAWqRQdGxjI2PY3xCDbVWj0mDCSax/0m9DqqJt/+u1mhhstjgmSnlFQYsKBHKUfkGgyy1T8Nkxlcthe74YWVJzkm9YpMFCN24cogMVZHps2H3TAGFmbnDctocDZYWD55npygLhlJ1F1m0lAqGemWP71wJcAaZCcwWPBVbsHeZNq/skaafg+snf+SupwMe6Mf7UCZS0egbl3H5WhSSMnJF1NmB4VEhkvEJKbmR4UH0dLSgrCAbSU+f4Gl8ioimmqA2UJOAX874kMcXPM6ZudTvXhv6eWaetfJ7sdH/xc9vJTQFl00vRJguUuPV+OGbb7DpIE2FoyUQPHAFi7EGxHvxziuL16D52kr1Ha+4bjPXi3rwPbKX/u2xvb2e9DjlsXNxLRcKC0qEU1Ttt6cbxrgYWXqfag2anz6GT0SI0wu0g4T6OGnaXHtw8XXqHf4hh6rIUGXpdxZfp5tinn4oP8dhvd8+5uZIqH1QNdSGrOR7OHloL3bu3o8LN+4i+UUuKqrr0NDYhObmZjQ2vEFtVQUKqLf3VTYKS6tFGhscxhN8rd+CJPe3/l3+W9A+MxKiudw24wQqcpJwbOsyfP2nP2Hd7tNIK2iA1vLr+djBZ/7dfTD/kYUjQiECv14Pe0EetIcPyA6SySsX4aypwpTV8vZTs1AQh0ufXyqlRYuv09zhPcEZI1RFJrJVKaAw2ztMp7fATnGhQiW4aOxdSVYyrp07il07tmPPgSM4feEqbt+Jw8PHT5CQkIikpCQkUwdFRibyhQTbeoYxabb/VaGIj2VKpLd26Mb6kP/8EQ5vXYnvv/ka63efQPyrcgyozbItdsF9/ucZC0OE9O1GaVd7G0yxd6DatBbq3dthzXgO38T4gqw6LavIBCVIkeCu8kksFukwLbkZNTttjqrIiAfzZ/yzQoOpaeB2X1s9cjOSEHPzKs5R58ip0zhz9jwuXbmGm7dicP/RU6SmZ6KovBbtfcPQy9L/1AY4d28YjWe0i2MZ7GoSEepDnD28B5s2bsTBE5fwJD0fzb1jMFgcIrWeS/mGHwtChLL8vlYDe84r6I4dwoQQ4eT1K7LQAtUZnEklFgoz6TBJ8Em3kg4vfq3B+qAE67QeTLqVucPy1FiEnxdx0QM+L2ymSYwN9KChphyvs14i5VkS4uMTkJiUjOcvMpFXXIb65nYMjqlhsjlkR4h8r+bs86gcB4lwuL8DlcWvkZr4BPfvP0BCcjryymrROaCIcG6j0PBjQYiQ5hO7W5pgjL4J1fZN0BzaD+vLDBkNUsq8YBCHSlmuVUSCVFmaIkHqGPklj0pp6aQEq4Jzh7/ktDlGIGVIPdUOmIx6qGn2Bq1H0tOD3r4+9A8NY0xFCywp0whnemrnlpmeXyfMQsoT4yPo7+9FjziG/v5BjIyrRRRqkQvVz8Wg9XBm/otwakoKz0aLtB/aJ0S4EYboSLhamzFlW1jLcpLbaLU56h2mytI7RTpMvcNUT5AKKNRoPNDPFFBgvjzBD/TbnnFaSjO4RKecF03LZlJP7aeTEMmVen7l/kV0qPT2is2j9Pr6qLdYHgPzMcxvEdKHwOGAu+kNDDeuQLVlPbQnDsvB0z6tekG1DdK1oXGCXSZqE7SLSFCZO0yVpaPbLKindNglpC9CRv5QzxPeibJ+6z15NwL8pM0z/+ilP+W+w4T5K0LxYtP0LTgxAeurF9Ac3AP1tg0wxt2Bu7UFUyJlWRAfAHGIFAk6/NPoNSvrDlM9wR9zNFhTqJP1BGtFOmwMtgnO7UVkGOZ9mL8iFOH+lN2mVJ6OjoJq6wZojx6EPS8XPo2yIt1CgarI9M1IsMKA77M1WFWgQ2SLGXVaNwxCggupqZNhQo15K0IaIC3bBjNfQCfSYfXubTDeuaVEgyJdXijpgCJBpYoMLb6+KFeLlUKCN4QEaYjMpNuvRIIMw3wx5q0IaZC07CmOuaWsQ3LymNI2SOMGF0A0SKMZHH6llFZavyO40JKIBEU6fK2ZBksra4ywBBnmyzMvRUii809MCPG9EtHgESlC491oKUZaqGm+Q9fh3QIKVF5fmTanw/UWC6qCRVVn2wTZhQzzRZl3IpTDBVwueNpaZVUZGQ0KGVpFiiyjQc/8nVNM2Tq5jcYJdgoJJgbXHabe4ZVy7rAZFSRBEQmG03oQDDPfmWcinJY9xX69Do7CfOhPH4N652YYb0fC9aYOUzab7ESZr/iFCeVgaaMiwR3lk/heRIIkQUqHZSmtmXGC7EGGmTfMLxFSNOh0wtPdBfOTR9Ds3Q7Nob2wZqTBOzI8rxdqp2jQ4lWmzT3ttskhMt/lKG2CN+Rg6bdVZOixLEKGmT/MKxHSGsX+yUnYS4qgv3QOml1bMXntIly11coaxfPRHuKQqGOEIsF2EQmSBHeJdHhmtbnIVjMqNa7ZdJglyDDzj/klQpcb3oF+mJ+KaHD/LrlguyU5Ad6hQUz75ucaxbNzh4UE43vt2EmDpeW6w3rcarPKaXPKusPigSxAhpmXzCsRBkxGOKsqob94BuptGzF59SKc1RXy90ooNb+gpj4qpdVOVWSCBRRm5g5Ht1vwRueBwT0l2wQ5EmSY+cu8ECH1FNNaI76REVhSkuTSnNRbbE6KV6JBWqx9PiFOlCJBGiIjI8FgPUEqqkqltGjucK02OG2ODEgX5vdeHIZhPjnzQ4RCglNeL1xNjbLqtGrjaujPHIejvFSpPj3PBlBTlkurzckCCr02bC+j3mGNTIdvi3RYFlAQEuQRMgyzMJgfIqQB1AaDHECt2bsTqs1rYXoQC09vt7I85zxKi+lIqJRWT3CcIFWRoSEytO7wbaoiI9JhigR9FOUGH88wzPzmy4owKDhahtPT1QlTzG1MrF8tO0lsBa/h0+vmhUmk0MQfVIL97dxhpZ7gDyISpLnDN1vMcojMbDrMMMyCYV6IkIbG2POyoYvYJ0S4Coab1+Du7JBjCucLdKTO4NxhqiKzS0SC32SRBLVyyU0qpaVUkWEJMsxC44unxjSThDpEqLKMat0KqEVqTIsy+edRqS1Fgm9LadG0OWoTXCFLadGSm67ZNUYYhll4fHERBqxWOKsqoD28HxMrFsshM66GN5imUlvzAOrwcPqUdDi1X6knSAUUSILXRCRYqaZSWpQOB5/AMMyC44unxt7hYblIO61TrNq4BpbUZ/CpJmSk+KWh87F5lSoyicEhMt9mKwUUbjQr0+bkGiPiPOS5swwZZkHyxUQ4TRWo3S44a6uhP3MC48sXyyozNKD6Sy/RSbumLFeuMRIsoLCzXI/vstVYLiLB60KCVErrV6vNMQyzYPlyIqS1inUaWNKSod6yXkSEq2B+cA/e/n5hoS9bYYba+igSnK0iU0aRoFqkw1pZSmtGgryULMOEBl9OhE4H3G0tmLx+CRMrf4b20H44SooQmJwMPuLLQG4zewLKtDkqoCDS4e9ojZFCHW62muWMEWXusPL4DzpphmHmJV9MhP5JPWw5WbK4gmrNMllz0NPXg2mRLn8RxMFTx8js3GEhwZ0iEvwxVyMrS9Pi69QmSENkaLA0wzChwxcRIQ2L8Q70wXjnNlTrV8l5xbbMDASMIhqc+jJDZpQqMtNKKa0eG7YJCS4SkSCtO0xLbs6sNsfT5hgm9PgiIgzY7XBUV0J3PAITa5Zj8tolOWRmyvVlBlBTlvurSFCkw4tytNhQpMedNgsaaNqcSJep7VCeI8uQYUKKzy5C6g2m4THmtBSot66Hast6WXHGOzb6+YfMiAOmCI96hzuDVWSoY4TS4XWyiowVdTRtjiRI6TALkGFCks8rQiETqjIjO0mirmNi7XJojxyAs7IcAVqP5DO3vdHuHL5pOU6QJLi1VI9vs0iCOllKS6knyOkww4Q6n1WE1DYYMJlgz38N7TGRFm9aC8PtSHh7ur7IAGqSYK/Zh8Reu1xo6WshwVUFbyVoemfaHLuQYUKXzyrCKY8b3sEBmB/dh3rHZmgO7IH1ZTr8GnXwEZ8WeXziDyqM4PJPYUBWkXEICRrwTbYWywv0cu4wFVAweaZEJMj6Y5hw4LOKMGAxw1VdCf2FM1BtXqfMK35TrxRf/YxQFZl+KUFljZG/ZCkSvNGiFFWlUlqzE0bYhQwT8nw+EYroihZotz5PEZHgbqh3bYU5/tFnLcVPxyclaFFKaVEBBZo7vDRfF5w7TBKkNUbYfgwTTnwWEdLvpz0eeDraYIiOhGr7RuhOHoE9P1dWpv4c5bbIbbKUlpBgar9DRoLfinR4WYEOV5vN4hzcMLhEJMjT5hgm7Pg8IhR2oeKrjrISaIUAVds2wBh9E+7mxs9SYIFefaaKTILsGKF0WCMLKNygNkEaLC3nDotH0oM/7eEwDDPP+LQiDAqOCizQOEGLSIvVe7bLmSTW1GT4RoY/eW8xHYJdSJCqyCT02LG9TJHg0jySoBIJyvL6nA4zTNjyySNCivYo6nO1tcB4N1quV6w7cRj2kiKZFs/I8lNAvb4UCdJgaZLgtlJliMxyahMMrjGipMMsQYYJZz69CGnsoNEAe3GB7C2mThJD1HW4Wps/6ZokdCwWbwBtBg8ed8+U0qLV5vS43WpFg24mElQe+5sHzzBMWPDJRTjl8cArUmBLciI0h/dBe2gfzM8S4B0elCnznCMOgvo7aMlNZe6wVUSCeizK0WBN4dt1h6nUFo8TZBiG+OQipKlz7pZmOYNEvXsb9OdPy+gwIJfqnHsRUbHUmbnDT0UkuIWmzWW/nTssZ4wICbIDGYaZ4ZN3lviF8OzFhdCfOS5EuFWuVuemtNhuCz5o7qD9W71T6HinigwVVV1LVWTaLWjQB6vIkAXp/yxDhmEEcydC/1+JUFhGLtUpUmBLcpIcRK2J2Atr2jP4xkYw7fUEH/hxyH2KP5TF14NDZHps2F6ml4uvrykMzh3W0rS5oAQZhmHe4ZOKkOYWuygtvnVDzi3WnzsJR2kxAhbTnA6iJrc5RTrca1YkuKVUh69fqWcl2KgTEpTT5liCDMP8R+ZUhO8iB1FbzHCUFMvV6VTbNippcXsrpkQ0OJeDqGnd4X4hwaQ+igQn8dUrlRwiQx0jjSIdtlAkyENkGIb5G3waEQrnUN1BObc4PVUOoNbs3qYMoh4bVUK4j4CeLTfxhycwhUE5bY4GS0/iL69osLQWkcECClR5+ksuDcowzPznk4kwQKvUdbTDGBcD9bYN0J84rKTFJmPwQR8HqU2W0goWUKB6gn8W6fAyEQlSKS2lniBJMPhodiHDMH+DORShd9Y1lBb7hfAc5SXKIOodm2CMugZ3m0iLXR+/St1/kCBFglka/EKRoFxoicYJchUZhmHej08SEVJvsV+tUkpuHdwDzf6dMD+LV9Yl+chOEnKbS1aR8UoJbivT4ysRCdLc4evNb4uqSgeyBxmGeQ8+jQjdbnj7emCKuSU7SXSnjsFemA+/0RB8xO+DvEbjBLtNPrnGCA2W/tMrlUiHtbhJ6XCwqCqtMSIdyCJkGOY9+CQinLJa4aqrgf7sSahoXRKaW9zchCmHI/iID4fa+uzBGSM0RIYWWvpTpho/y44R82w6zNPmGIb5UOZOhL63IvRrtbBlZUKzd6esNmNJegrvKA2i/n1zi2n8n0NIkEppPe2xykiQOkaod5gqS1Pv8NuOEYZhmA9jbkUYNJFnYACme3dFNLgOmkP7RFqcJwuzUifKh0LPoCoy7cEqMtQm+HW2BqsKae6wBU26YCQY7BhhGTIM86F8pAhPvCNCtyK6wBRcjQ0yLaZ1i/WXzsHV1CCiQW/wNd4TIbSZxdc7jIoEt5RO4rscIcEiGixtQYOQoNXDM0YYhvk45kaEqqAIAwFMOxywF+TJSjOq9atgenhPLtD0oaEaBXhUSqvTpJTS2lSixzdZwSoy7VY0yRkjFC+yBBmG+TjmToR+j4z6/KoJmBMeY2LdSilDW242/Hp98PnvB6nNJiTYJSQo0+FSIcFXaqwV6XCclKBXqSc4kw7LPxmGYX4fc5Qat8M95cOUwwl3cxMmr1zA+MqfoTtzQqbF79NbLGUm/pCLr4ucuMfkk73DmykSfKXB6gIdYmjusEiHKRLkdJhhmLliDkXoR8BsgT0nC+q9OzCxdhmMsdHwjox80AJNNFiaFl+ncYKbivX43y/VsxJsFukwRYLBQJBDQYZh5oSPF2HdI1RRZ0nAB59GA/ODWIyvXiqn1VlfPIffaBRPez9jUSQ4M22Oxgn+u5DgL6+1QoIW2SZIg6l52hzDMHPNx4kw5+3wGafbCU9vDybPncLY4u9l6S1HVQUCf2duMSmNNury8AnBDVmVKjIkwf+dqcYSIUFabY7SYZLg7BMYhmHmkLkRoaYTDrMRzupKWW6LRGi8HQVPT/c/XKCJvEbp8JDVLyNBqiwtI8E8Zdpco94txwlyOswwzKfi40VY91iK0DYxBmtGGibWLJMdJda0FAS0WuDvFFmYkaCSDjtEJDgpp81RJEiltJR6glxen2GYT8vciFCkxuaudhhiojDxyw9Qbd8ER1kJpmnd4mlKfP8jFOHJjhEhwWe9DmwumcS/vVAkeL3ZLCSoRILsQIZhPjVzkhpXjTbDUFUG3ckjmPh5kaw2425rCZbc+m2TzVSReSqHyCgS/FlIMKpVWWNkZt1hejbLkGGYT8nvF2G1ECH1Glc/QGVvDfSZ6bKnWLVqKYx3o+EbGQo+5z/iFJGgLKDQbcfGYqVNkCJBahNsEBK0inSYxwkyDPO5+GgRnqiMQ3ljHtQP7mBi9VJodm6G7dULBCb/42wSctvMkpu07jBJkMYJLgt2jFABBZLg3wgiGYZhPgkfLsLATGocix9fn8LxkmgUFyRh7NIpjC/7CZOnj8H1pg5TdnvwOQrkNpt3WtYTJAnSEJm/vFJjVYFOLr5Og6VJgrKeIP2fZcgwzGfid4qwU4rwp7zTOJZ/AwVJkRg+sF32FlNVau/wkJx3POMyGQlSAQWjD0967LKAwtdZQoKFyoyRpkkP7LTa3OwzGIZhPh8fJ0IRER59eR65kYcwsGkFVJvXKsNmTCbxUKW3mNRGEqS5w0+67dhQQqvNabCmSEiQIkEhQRoiwzAM86X43W2EB6mNMPsYDiccQtaRtehf9RM0h/fBXlKMKbc7+HjA4Z9W2gSpd7hUWXJzdaEesR3WWQnyOEGGYb4kv1OEnVKEi14cRETMVrzc9C36VyzC5PWLcLc2Y9ofkJGgJ0CrzfmR0EuRIC20pMGK/LcFFGwiHeapwwzDfGk+SoQ/JO/CgfNLkfHzv2Bg9c8wP30I/8iwTIupZuqgharI2LG+WI9/faHCciHBO20WtE16ZSktDgQZhpkP/A4RehQRVgkRPtyIAwe+wotv/yuGtqyBLecVApOTIhKcwrBdmTu8sWQS/+uFGotztYhptaJVpMMO3zSvNscwzLzhw0XoIxF2IaLyLn66tQKHNv4TMv/ynzF6YCcc1ZXw2hwYtfmROuCQvcN/yFBjkZAgrTZH6TBJkGEYZj7xu0V4tCwGKy79hDPL/zMKvv9naM6fhLm5FUMGlyygQB0jf8hQYTHNGGml3mGvbBOc1SD7kGGYecIHi5DWJqlVd+B00W1sOfkdbi7+T6ha9hUmoqPQ3dyDZ1RZutSAP7zQyEgwkuYOU8eIjztGGIaZn3yQCMljTiHCN6p2XHsdhSMHv8aTRf8VdZuWo+l+PJ6W9cqOkf/5Qo0fX+twXaTDjXoRCXI6zDDMPOZ3ibB5rB1xLyNxdddfkLjofyJr5y7Exr3Cxoxe/OGlBkvy9LjVbkPrpA/2v1+XlWEY5ovzwSJ0BDzoGGlDcsp13Nm+CHeXfI/ze85j5e1S/GtSPxYLCUbROEEhQQdLkGGYBcAHinBaRoQ9g+14kXgbN/Zsxt51e/HdoSf457sNWJQ5hCtNBtRq7Zh0u+EJ+MTmhcfvleMPeeONN94+diOv+KfeluqbnoOheB8sQpfPg97BHhERJmH38av4w/47+L/PZuD/e1yK9YW1iG1vRsFou1zZrlbTiRqx0d+88cYbb3OxNep60Wseh9FjV4o3f24REh6fF13DY7j7qhw/3HiB/+v8c/yf1+Px/zyJxdevorG1NAYHKu/KAde88cYbb3O2Vd5BRFUsTtU+xuPuPHQYhuENvP+a6X+PDxahz+9Dv9qAh5W9WJFcg//yKBv/79N7+O9pF/FV5kksyjmOH3NOyO0n3njjjbc52hblHMPi3JNYW3gJlxuf4Y22Bx7ho7ngA0U4jUAgAI3FgZI+DaJrO3G8rBwHy1/gSHUCjtc+wom6h3LRd9544423udzILafqH+NaUzLS+kvRZxoXEaHvS7QRAlNTU7B7/Bg3O9CuncQb9Shq1H2o0XSBynNVqZX2QVrZjjfeeONtrjZyC9U5aND3oI/aCN02+Kb8stPkY1X4wSIk+/oD0/D6A3D7/WLzweX3wik3j9jcvPHGG2+fZgt44BIb9Rz7pgIIiMCMnPRZRTgD7VixsNJjMzVN0+eU3yk/88Ybb7zN/aZYR/xMf5KDxDYX/C4REnOze4ZhmC/P7xYhwzBMqMAiZBgm7GERMgwT9rAIGYYJe1iEDMOEPSxChmHCHhYhwzBhD4uQYZiwh0XIMEzYwyJkGCbsYREyDBP2sAgZhgl7WIQMw4Q9LEKGYcIeFiHDMGEPi5BhmLCHRcgwTNjDImQYJuxhETIME/awCBmGCXtYhAzDhD0sQoZhwh4WIcMwYQ+LkGGYsIdFyDBM2MMiZBgm7GERMgwT9rAIGYYJe1iEDMOEPSxChmHCHhYhwzBhD4uQYZiwh0XIMEzYwyJkGCbsYREyDBP2sAgZhgl7WIQMw4Q9LEKGYcIeFiHDMGEPi5BhmLCHRcgwTNjDImQYJuxhETIME/awCBmGCXtYhAzDhD0sQoZhwh4WIcMwYQ+LkGGYsIdFyDBM2MMiZBgm7GERMgwT9rAIGYYJe1iEDMOEPSxChmHCHhYhwzBhD4uQYZiwh0XIMEzYwyJkGCbsYREyDBP2sAgZhgl7WIQMw4Q9LEKGYcIeFiHDMGEPi5BhmLCHRcgwTNjDImQYJuxhETIME/awCBmGCXtYhAzDhD0sQoZhwh4WIcMwYQ+LkGGYsIdFyDBM2MMiZBgm7GERMgwT9rAIGYYJc4D/H22xGPZtZM2kAAAAAElFTkSuQmCC)
physics-General
Maths-
Order and degree of differential equation
are
Order and degree of differential equation
are
Maths-General
Maths-
The solution of
is
The solution of
is
Maths-General
physics-
For the given figure, calculate zero correction.
![](data:image/png;base64,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)
For the given figure, calculate zero correction.
![](data:image/png;base64,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)
physics-General
physics-
Three capacitors
are connected as shown in the figure to a battery of
volt. If the capacitor
breaks down electrically the change in total charge on the combination of capacitors is
![](data:image/png;base64,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)
Three capacitors
are connected as shown in the figure to a battery of
volt. If the capacitor
breaks down electrically the change in total charge on the combination of capacitors is
![](data:image/png;base64,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)
physics-General
physics-
The charge deposited on
capacitor the circuit is
![](data:image/png;base64,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)
The charge deposited on
capacitor the circuit is
![](data:image/png;base64,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)
physics-General
Maths-
If
then y satisfies
If
then y satisfies
Maths-General
physics-
In the figure, a proton moves a distance d in a uniform electric field E as shown in the figure. Does the electric field do a positive or negative work on the proton? Does the electric potential energy of the proton increase or decrease?
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)
In the figure, a proton moves a distance d in a uniform electric field E as shown in the figure. Does the electric field do a positive or negative work on the proton? Does the electric potential energy of the proton increase or decrease?
![](data:image/png;base64,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)
physics-General