Question
Write an equation that represents the inverse of ![f left parenthesis x right parenthesis equals 3 x space minus space 5](data:image/png;base64,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)
Hint:
In this question we have to find the inverse function of the given function
or,
for this we will first switch x and y and then obtain y in terms of x. The obtained function is the inverse function.
The correct answer is: ![f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x space plus space 5 over denominator 3 end fraction](data:image/png;base64,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)
Given function ![f left parenthesis x right parenthesis equals 3 x space minus space 5](data:image/png;base64,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)
Let ![y equals 3 x space minus space 5](data:image/png;base64,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)
Switch x and y
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x equals 3 y space minus space 5 end cell row cell x space plus space 5 equals 3 y end cell row cell fraction numerator x space plus space 5 over denominator 3 end fraction equals y end cell end table](data:image/png;base64,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)
So, the inverse of the function .![f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x space plus space 5 over denominator 3 end fraction](data:image/png;base64,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)
Related Questions to study
Observe the graph and write the expression for function g.
![](data:image/png;base64,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)
The number which produces a given number when cubed is called as cube root
Observe the graph and write the expression for function g.
![](data:image/png;base64,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)
The number which produces a given number when cubed is called as cube root
How does the graph
compared to the graph of
?
The number which produces a given number when cubed is called as cube root
How does the graph
compared to the graph of
?
The number which produces a given number when cubed is called as cube root
How does the graph
compared to the graph of
?
The number which produces a given number when cubed is called cube root.
How does the graph
compared to the graph of
?
The number which produces a given number when cubed is called cube root.
A cube has the same volume as a box that is 4 ft 3 in. long, 2 ft 5 in. wide, and 3 ft 3 in. deep. Find the length of the cube.
The number which produces a given number when cubed is called as cubhe root
A cube has the same volume as a box that is 4 ft 3 in. long, 2 ft 5 in. wide, and 3 ft 3 in. deep. Find the length of the cube.
The number which produces a given number when cubed is called as cubhe root
How does the graph
compared to graph of
?
a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables
How does the graph
compared to graph of
?
a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables
Write an expression for the function which has a translation by 4 units left of
.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Write an expression for the function which has a translation by 4 units left of
.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Find the minimum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the minimum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the minimum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the minimum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Evaluate:
.
CUbe root can be negative.
Evaluate:
.
CUbe root can be negative.
Find the average rate of change of
.
Find the average rate of change of
.
Observe the graph and select the statement which is true.
![](data:image/png;base64,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)
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Observe the graph and select the statement which is true.
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FI5ERbDqFDkK/V7ZTrJMkaAQUwNCxB8VkHPuSupWOE+AMaX386BXFw3+PLDGSU5+B0/j5GHDnhcYXC56gyiYwG9W1LyuNP7lzfvoAPbUhbnCt/QDl27Fh56qmn7OeocgMZ66D+xJF4pLof8f5RZRIZ6yDFKpbq9jHnT3pTX3/2fceOHbYeHNdR5QYy1nEu+wKGH3nmuTrw3Yfa2lqbptXHn7jRBtu3b7d88d0Hts96hgAZRsZUiBXyPRVjhfn5+TZnKw3ssw58SK7NDtHRo8oMZPiXl5fbhvH1p3MTB/c9vsxARnkC6vx9jEbJzs6WrKwsG8eoMomMk5VvW1I+xB/DhzagLXz8aTv6QIg/I5jRo0fLpEmTzoxwUzG2CySIA/FIdT/i/aPKJDLqwUnTnTijygxk7EOoP/u+efNmO8Xp0x9Zx7nsCxjrgCsA3zcOlZWVFtg++8ConpPdpk2bLB9848D+05ZD3KUvHdtXdMxPez5rplCIg++lb6g/Cp0GYfqCffC95MIf0IT0BdqQtvBVqD9izjpkGoT4EUff6SDnH9IXACTmq9A5b+qu72AMn/Nm+0yDhM5Z05ZD6FChB6jeYNQbjE60AW3hK/pAiD/SG4x6g9EpFLacLEL82b4+DRIn/BXWCmuksFZYOyms46SwVlg7KawV1k4Ka4V1pPBXWCuskcJaYe2ksI6Twlph7aSwVlg7KawV1pHCX2GtsEYKa4W1k8I6TgprhbWTwlph7aSwVlhHCn+FtcIaKawV1k4K6zgprBXWTgprhbWTwlphHSn8FdYKa6SwVlg7KazjpLBWWDsprBXWTgprhXWk8FdYK6yRwlph7aSwjpPCWmHtpLBWWDsprAcZ1u4ApYPRuXysrKxM8vLyIpcla3RuGidqWTIW6k/HIg7EI2p5IgPWIf4YoC4qKopclowBWfaBjhG1PJHhTyrHkL5AGzhQ+RgdM8QfjR8//gyso8okMuJHHIlH1PJE5vxD+oKDbdSyZAxIhPhTd7LF0R+ilidjoW0Z2pcwYEv2wqhlyRgnixB/B2v4ELU8GWP7rGcIO1NaWmrzOfOZ4KRirIj0qGlpabZz+KyDgJJmlbyxfI4qM5A5f/K++vizz+TO5QqBz6nWgW3iz0nLp/4YcczMzLRpKRlRRZVJZACCfeAAS3U/XHn8ffsCPrQBbeHbjvQB1w5RZQYy/AHlqFGjZOLEiRY4UeUGMrZL/IiD+x5fZiDr7097RJVJZByY5FHGfONIHmdff1dn8jBTD47r+DKJjHW4tvStQ4g/hh/5sMkp7bsPIf6uHTdu3Oh9TLFdclnTnkMgPknCOQvS0fmeijEKKykpsYnz+eyzDnyoDJUL8adT+foDS4AbtTyR4Q9giWPU8mSM2BUUFMiBAwe86oBxdeDblpQP8cfwoQ1pC19/2pB28PUH0OPGjZPJkyfbkW1UuYGMdVB/4kA8Ut2PeP+oMomMdbiDNdXtY/hwosB8/dl3XihCPeibUeUGMtYR2pb0JV9/DD9iAPB894ETb6j/zp07LV981wHkqYd9ByNf6Ni++iy8fIAOSRx85YIaosF4ByP7ALB8hD+ACOkLtAFt4Sv6QIg/Gox3MBJH4uEj5x8iDm7MV6Fz3tR9MN7BeK77AicMplN8xQkjxJ/tD8Y7GGnLIe4A9T3Akd5g1BuMTrRBCKjoA6Gg0xuMeoPRCdhypeMrThYh/mxfnwaJE/4Ka4U1UlgrrJ0U1nFSWCusnRTWCmsnhbXCOlL4K6wV1khhrbB2UljHSWGtsHZSWCusnRTWCutI4a+wVlgjhbXC2klhHSeFtcLaSWGtsHZSWCusI4W/wlphjRTWCmsnhXWcFNYKayeFtcLaSWGtsI4U/grrCwfWtBe/DFuxYoVs27btIweUwlph7aSwjpPCWmHt9Js6QOlv1157rYwcOVKmTZtm85E4KawV1k4K6zgprBXWTr+pA3TBggUyadIkG6/4HBoKa4W102cK1nxhh0I6FmkE8/Pz+775iUqFVCjUH0ARB1+F+iOyF5LMKUTsgy9kUGhfoA1CIIE/bZlIr732mgwdOtQmbHr00UdtdjgnEjk988wzfd9SF/ELactQf8QBGgKJ0ERQiJS9IbBMti3PplB/xAkvZBAX6k8bcNILHQCxniGMiEnhl5uba4FL9rxUjLSe69atk0WLFtnPUWWSMdIx0jl89gEf8mmH+JPilXVELU9kof5YYWGhnX/FfOMY0paUx586+PYFfLKysmxbfhL+7B/GaM/lGEbkrp47d64FCy9vuPvuu+Xhhx+W4uLij60jkbFd6k8ceKFGqvVw/rQD+xpVJpGxDubjsVS3jw2GP//PmTPH1sOnP7IO2jLkmArpSxh+u3fvttkDfdYR6k/caIPZs2dLTk6O9z6wfUbnQ0guzh8Y1TGdwfdUjFE1FVq/fr39HFUmGSOPM9MAPvuAD/6MSn39ObBZR9TyROb8iWPU8mSM5OLcKNu6dat3HHmJBA3s05aufEhfwIc2JI6+/rTh2fypH39n5M7ggH7HyGfMmDGycuVKe9lMsveHHnrIjrYBevw6EhnrP3LkiI2D215UubOZ86cd8I8qk8hYBycdLNXtY4Phz/8MHKgHKZDjyyQy1vFJ9oVkDD+AGcIV/Jlq8/EnbgzCli1bZvnguw9sn7a00yAhc2OIA4RKhYhhvu9cK8I/5FKDS/+QOHDpGxpHDnJAGaLQfQiZwkC0QcjlN30gGf/t27dbKI8YMUJeeumlj9SbkXbINEhoX0Ch/lz6ch/EV5y4Qu4BIa4WQ/rDYPSF0DgylRQyPToY/lzxh0xN0g/oD0PomNwMCQEd9OeSL0RcwoZ0LvxD5pZokJCbQnqDMSbaIGSeM5WbSrxFhBFLfMz1BqPeYHRizjtk7p+pthB/tq9Pg8QJf4W1/igGKawV1k4K6zgprBXWTgprhbWTwlphHSn8FdYKa6SwVlg7KazjpLBWWDsprBXWTgprhXWk8FdYK6yRwlph7aSwjpPCWmHtpLBWWDsprBXWkcJfYa2wRgprhbWTwjpOCmuFtZPCWmHtpLBWWEcKf4W1whoprBXWTgrrOCmsFdZOCmuFtZPCWmEdKfwV1gprpLBWWDt9pmDNFwLi2zER2aXIzhUighICW/wBpq84wEI6Bo0R2rHIMgawfQUc2Adf2LoTd0hfoA1oC1/RB0L8EfmsQ2BN/IijL2ydf4hIgBSSBCkU9tSd1Jz0B1+dD30ByIUMAoFtiD/bJ02q7wAKsX3acggfampqbMcgOKkakAIwZJbic1SZZIzk8XTwqGXJWG1trW3YqGXJGEElDsQjankio1FD/IkdaTk56fnGkTMw+0DDRi1PZM7fty9gtAFtEbUsGaMPhPgDyscee0yeeuope9KJKpPIiB9xIB5RyxOZ8/ftC1hDQ4O1qGXJGL686ixqWTLGvpPLmjSzQDeqTCI7130BI9kXJ5yoZckYXPL1J260ARki4UtUmWSM7bOeIQSEkTGXOwCHAKdidGhyzpJbmIPcZx0YOZwJLJWKWj6QsU38CayvP8EgDu57fJmBjPIcHM7fxzg4SElJwnXiGFUmkbm2ZF986oA/U1q+fQEf2oC28PWnD/j60/bAevTo0faVX3xOdT2Up/7EkYMkxJ94RpVJZNSjqqrKmm9/dv6p7j/mfLZs2WLrwcknvkwiYx2uL0QtT2T4h/QFjNiRJ54Tp28cSf/s60/cONlt2rTJ65jE2C7bpy2HuEtfOravdM5a56ydaAPawlf0gRB/xJw1r/vylc5Z65y1E8AM8Wf7eoMxTvgrrBXWSG8wKqydFNZxUlgrrJ0U1gprJ4W1wjpS+CusFdZIYa2wdlJYx0lhrbB2UlgrrJ0U1grrSOGvsFZYI4W1wtpJYR0nhbXC2klhrbB2UlgrrCOFv8JaYY0U1gprJ4V1nBTWCmsnhbXC2klhrbCOFP4Ka4U1OuewNvFrMqD17wkKa6SwjklhHSeFtcLaKRTWeNWXlMipJA/Qntravk+/1m8E1qfapPPwfmktOCS9PR+tq4U1iZyAVUGBHF+2TJrS0qTNHOdR1mqs3ZQ71Q9sCmuFdaTwV1grrNEnC+uT0rxtppS/NEMqZ2+Q7o6Pluk1B3fpk0/KgaFDpdccqMmo8uWXpXjYMGnNzu77y28C1h1SO/0myb32Bim4/J8k8+bHpL3x1/2Gumfk5kpdWZns/7d/k7Svf132/+pXcvDOOyOtyFjx8OHSdexY3xoU1khhHSH8FdYKa/SJwfp0vVQ+co3sHz5Fyp++Rfb+x9XSXP3rMifNgVlwxRVScNNNUldY2PfXxDppDsSq11+XrO99T5rN6BV98rDulNb07WKTClculuwf/VTqj3wU1lmmDqVLl8qBn/9cWrOy5HSKwFFYDzKs+UJAPtYxUxCZuTSfteazRrQBbeEr+kCIPyKfdUgiJ+JHHD964jWxffYW2fmNH0hDed9fesxB7IqYsofuuksOXHSRnDR9qdXjhFn50kuS9bd/K711ddJp9uE3kc+6ZeUMKbr4EildvL3vLzFRreyCAsl96CE59vjjsT+mqPOhLwC5kEEgsA3xZ/uDls8aartUjPyR76kYDcJokETlfPZZBz7kreUACfEHNL7+NArpDN33+DIDWby/jwF7TnhcoRDHqDKJjIObffBpS8qH+GP40Aa0ha8/fcDlgo4qM5DhA2DHjh1r81nzOarcQMY6qD9xIB5851Dt7S6SfX/+e7L3uneFMVJ3b490mjbr6DQ+5uTWYPp/2uc/L/W7d0un2a7zt+s0x6n1kZNntsOwhL91dvVt17R5u+lD6X/5l1Jm9v2E+Vt9Q4N3HEgvikX787dWaa87JjXL35WS0WMl78qH5Xhxo3Sd6juGDSi3b90qaf/xH1KzeLGtY0dnz5n97urqW293rx2dd5/u7bf+2D6EtmWIP4YfaVq5WvTdhxB/Tja0AfmsHfSjyg1k+JBelfUM4czVP3dvqsYK4/NZ+xh5Z9khDpSo5Yks1L9/Puqo5Yks1J84unzWfI4qk8jo3OwDnStqeSJz/r59AaMNaIuoZYmMtsPf5TBO1fBnBDNmzJiP5LNO1ag/cSAeLS2tUp+7QQ6Ou1K2/bchkvbje6Rk5iypKqw+U77VgJY56sx//Edprq+XJnMcnOkL7eYEdnizlLw9S8qzj0pzm+mfXT3SsH+LlC5aJMer+rZr9r3VwP/Qo4/K7m98QyqLi6XGrOvj/blV2syFDxfmZzNOLnXt5oRTGzvxftTfWKvpX00FUnTFzVLw+iIpnT5cMv7tYqnMq5O27r6+Z+qwcdYs2fH970uTqUtrZ5e0tlVK5Yq3pHjeJqlvbDPraZPWlmqpWDpHyvcUSnPcdkLbMsQfYx3ko2bwEBmHJCzEn9EwJ+3NmzefyWedqrFdtm/zWZt2tZ1Sp0F0GuSzMg0SOmcdPw3Smb5Ajtz2U9n5f35ODoyYLEenTJOmko/ePMz867+WQ3ffbT+fNPFzfeHksRypevVFKb76u7L9f98ghpNyqnit5P7p/yvb/+Dn0hzXZeqXLJG0//E/pI4RelQ7nm6U+jcmysH77pPDA1jBfROlrnSgV3KZE9nqZXJs6hQ5Om26NJd+9IkUap4xYYLsv/HG2B+kWRpXzpWKyffI3j/4suS/k2v+1i21Iy+Trf/Hf5LCV3bGivXT+dAXgB2jU18BzBB/tj9o0yDuAPU9wJHeYIx1zBB/pDcYYx0zxB99EjcYWz98WNK+eYVEzSKfNvHa/bWvyREzokfOn75wuq1BuhvMeioWS/qf/J2ULVolh6/9uZS8tkY6Kz/+tEjTli2y+0tfkqPz5klHVF863S1dB/Okac8eaTmLNRur2ZYuTcf9QUcPyLnmGql4443YH6RHuqvqLcSrH/yRpF/1tNS+O05yL75PThSUycmuj5/gz4e+AGy5UvUVJ4sQf7avT4PECX+FtcIaDT6su6Ti1m/J9p+Pl96I5u0xl7i7vvhFKTMjUdQf1md0+riU/OqPZcff/YscWZ3Z98ePqyUjQ/b83u9J8YwZdjrDVxwJbR2JbzCeam+Xmvffl4rp0+1Jx6nDXHbv/ed/luaIK+b2FeMl/atfl8yHJkpr3dn7isJaYR0p/BXWCms06LDuPiYHv/N/SfaoefYHL/E6bcrvNoAtGT3afo+EtbTJkX/9Ldnx8zEyUOs0btoku7/wBTk6d+5ZRtad0p69Q+rXrpWGAaxi+UY5UTvwyJpHDY9Oniy5P/yhbPsv/0Xa8vL6lpj9WL9eNv/oR9JiTkTx6lo9QXZ+7v+R0m0fX9ZfCmuFdaTwV1grrNFgw/rUkbmy5z//oZQuPXvbZHz723Kwb86an5vbvmC/odPS9PooyfrW/5Sd37lDBhrw1i9ebOesa3bskI6odjjVJA3vPSuHzYnhyFmMk0bRqGlyvGygOWuzV6bPn2xrk66KCgPfz8mhoUP7loiUm6uENddcIy3uhNWnU0VpUnzNv8j2z/+xHHozo++v0VJYK6wjhb/CWmGNBhvWbe/dJlu/+jdSu+/sv0jkGeucf/onOWXqT/Qa27pFajPk2KuvS/nIhyT34sekacdcyfr670t5rlnWWC3dJz4+A37U7Peer3xFmiorpd30KV9xJCUzDeJU/PDDsuO//lfprq42FD8tRQbUm599VppOEgNzsln1rpS99JYc/NHPpfTDHVJ1+z/I3qun2Lr2lJfLqYhur7BWWEcKf4W1whoNHqxjbVkz7G9l1/cul9YBulfz7t2S9tu/bacS8Goyx2Zv9kxJ/7+HyLa/uUIajwDeKin51Zdl909vlbLp70hjkQFjf5n4Z3/ve1I6Zox0mM9t7f4/iuHgxpJVu+l3O37rt6TMxK6nqkr2/exnsmfTJmlqi4Gq8rZvyvr//D+k6PnVtn6dqx6SXb//R1IwbrpULt4s3RHdXmGtsI4U/gprhTUaNFjbpiyXwr/7Q0n/2dQB55q5OVdw1VVScPXVdl67uadXTp44Js3bNktHw6+he7J6nzQsXyLN5R8fpde8957s/dM/la4jR2KwTuIXiGdTqrBGBdddJ3u/9S05OmGCHB4xQrIOHJATJg6oc/82acrY329qp0Xad6yV41sy7Y9koqSwVlhHCn+FtcIaDQ6sm2JgOrZcMr7+BSmaXWCXDaRuRqQ//rEcfOABOVFZ2ffX5HR8yRLJ/M53pGHNGvsdUP+mYd2SlSU7/tt/s3Pm9WY/MvPzbX/wlcJaYR0p/BXWCmsUDuuT0thyQrpL9knpXf8hu3/8gHQmOX3MnG/JmDH2F408bZGMqt9+Ww7efrtNQep0LmCNuDrY/p//s3TV1kpmXp7C+jyAdWdXt7SZWCis+6SwVlg79Z48JU0dZVI98RE5eN+r0l7ftyBJET2y7iWVz9r0ly4zIj9t+k9/nStYN+/cKeUmdqdMH8rIzFRYh8LatOGevXvtE0K+siNrsx8K6z4prBXWTnYa5IT/PvSaODYZUIb0hXMFa6dTZt/1TTHhsG4zMdiTmSU9HJMmpqe6Om3O8+7649JZVSntpaXSciBfmjIypH77Vqlds1qqFy+U8g/ek7I3X5cjL74ghROekPxRIxTWTgprhbWThbWJI/HwkfP/VMPa1F1hbeLY02t/Ddpf3EzmEc1eE19+vdpVXSVtJcXSnL9fGvemS/2WTVKzfKlUzvlAil96UXaPHCFFE8ZL0dgxcmD4g7Lvnrsl99abJPu6qyXzyssl48rLJPMK7FJjl9j/s6+5SnJvvkH2Db1L9g27T/Y/MjwGawLyaYc1Z0CA6StgzT6EwDrEHw0GrNmHTzusacsQDQasqUMIrEP7AhksMV+dL7AOacvBgHWbOa4TDeFO98Z+HNRzIgbe9iMl0mJ41pi+W8pXrZTyRQukau6HctSMdEuee1YOmpFugQHw/vuGSt7tt0ruTddJ1tVXSMalF0nGxb+UzMsuMd8vl5wbrpXsm66X3ddfI/vvv1eKRo+UQ5MmSMmz06TstVek4v1ZUrVoodSZ0XSDGVU3ZWVKa8EBaTt8WDqPHZXumhrpNSf9NnNCaDX7N4RGcaMxOleqhvrDOqpMMkaj0DhRy5Ix6kDniFqWjLmRMfGIWp7IQv1Rf1hHlUlkQJZ94MQTtTyR4c/B6dsXMHeARS1LxvCnDlHLkjE0fvz4M7COKpPI3FUW8YhansjwJ46+fQFzI+uoZYkMOVhHLU/GqHt/WEeVSWTebWm3aGDNid+MjFPRr0e9LdJdXy/HDxZJ/b48ac7OlvqtW8yId5mUmxFv2euvSfG0Z+TQxCcsRPMNTPNuv8WOdgFvFqPdyy+RvZf8SvZedpFkmr/l3HyjGeneKfkPPSAFj46Sw09NkhIzcj426x0L3dp1a6Rh5w5pysmR1kNF0lNTbX/ctGf7Nulqa7X3AWyf6NvXZNVh2NJqrg6GcGCVlZXZfKucBfmeinH2z8/PlzRepmk6l8868CHNKnlbuWyJKjOQDYZ/vWlY4uC+x5cZyChP7l3n72N0bHJZZ2Zm2phGlUlkHBi+bUn5EH8MH9rA5XKOKjOQ0Xah/oBy9OjRMnHiRHvSSXU9lAdQxIF4+PozgME/qkwiox7kUcZ8+nOov6vzpk2bbD04ruPLJDLW8bG2NP+T87rZnESazTrJmd3CzTMD19buHpvP25r53G6gW2/KHauqkmbj21BTK/Xl5VJXfFhq8vKkaleaVGzcIMeWLZUyA98SA9+DBr6Fj4+V/IcfkLx77pKcW2+SDAPZdIBrRrwWulddJlnXXCXZZtSbc9stkmtGx/tGDpf9TzwuB56ZIoUzXpJDs96VEjOaPrp2jRxcv05KzbZqzYi3rqRYGioqpJGc5S2mDuy/OW7JZ86bgdqc2Tp0S4f5XG3Kbty6VU6YugNc6m3rTxwwYuOsX/yc0X7kxK4ybTmEESFvQwAWdG46eyrGGbikpMQmzuezzzowYMeO+foDW0YSPv74MK9FHIhHVJmBDH86tK8/RuwKCgrsixz4HFVmIGMfuLJgH6hLqnFw/hxgvn0BH9qAtoxansjwpw/QllHLExn+jFzGjRsnkydPtp9TrQflqT9xJB6+/sTAty+wDkCPpbp9DB9OGJivP/u+a9cuG4fo/mjWy7qNUd4axz8xN6NjJtL4uXyDOS6YTIr9aD32pIzdJxOjLtPWHWb9rUfNIMf0/fq96VJtAFy+aJGUznxXil54TvLGj5P9o0ZKzr1DJfOm6yX9qssl/fJLZc+lF8seAGxAnGn+lmOW5d19h+Q/OEwKx46Ww1OflqOvvyol774tx8yo9/jmTdKYsVdaCwuks/yYdJsBCS807uVYMftJHdk3t69ufxvNfgJgPvM3ytg6mDrauhIb6vOx+Py6HXbu3GkHYLbe/N0uiy3HeA3cyZNmG6d6zUbM2k+7Pekbg/d0SHdHi758wImgEQdf0Qgh/khfPhA+z4lC56yJH3EkHj5y/iEKnbN20yi+ou68qq8x1XqY44i0qz0GUs1mEFdj1tHETbdNG6XaQPPYO29JybPPyMHHHpUDD94v++68XXKuv0YyL79YMhn5cnPNjIazr73aAjh36J1SOHqknXIonf6ClM98xz4tcdxAvTF9j7SYUbad462skB76Lgzo125tpi38qRC7QdlpgO6r9rZWyTD1jwF4YHX1njKj9R6pbuyUg5Utsre4XjbkVcuH20tk+sp8fRrECdgSB98DFEiF+CN9GkSfBnEKha2bsw7RXjMAa3KgOn3KzgUDxM6KcjtCPbF7l33UrOLDOVL22qtS/MzT9omH/cPukdxbbpSs666WDJ5wMBDOuPRXdi44hycc7r5T8oc/KAcnPiFHAPCsmVK9dLHUM/rNzJDWg0X2x0WtNTXSYP4/1d1lNu/XFrwu7Vw+utfd0WZh3dbeJScMiMvq2iSv7IRs2m8gvKNUpq8qkonz98vwmVlyy8u75KLJW+WHj62XvxuxWr49bLn8/h2L5Ys3L5DfvXG+wtpJYa2wdvrMwDoF/1M8EdHaIl011dJm+iHQTH/rDTlsRrLHXn9VDk16Qg4Mf0jy7rxNsq65UjIuMyPhy2OPmWVddblk33id7LvnLikY9YgpO1HKXp4uZbPekbIF86Vh+zb7pEPboYP22eLelma7vUTqMvFjXjhEjIxDYNtmYtLTNTCX+BFVS4cZEZ/okMKKJtlVVCersyrkva1H5MkFeXLjs+vlhhd3yi+f2iL/MGat/JmB8B/etUS+cttCC+Hfvn6e/M4N8+Urty6UP7x7iVm+TP5m+Cr5kYH2JVO2yU0v7pD730pXWDsprBXWTp8FWHecOv2RfNj8mrK3qdlOF7Tm51uAVpnR7LF335aS56ZJ4aOj7ZMOTD1kA+NLfiW7fvEz+xRE7m03y/777pGixx+zP9Iof2+m1K5cIQ1pO6Qlf39sDrj+uJ0DZhRshuF2m92m/i1mu74ajL4QCuvujtg7HNu7TloYF5Q3yZb8GjMqLrOj4ifm7pN73kiXS6duk38et17+14hV8if3LpMv37pAfseA+PM3LZCv3LFUvmRA/Ad3Lpa/fmil/GDsOvmFAffNZiQ98r1smbI4X15de1Dm7iyTDblVklVSLyU1rVLd2CGNZjTe1NImXZ0dCmsnhbXC2ulTCWuzrycNlLrr6qT98GGp2bnTPilR8f57UsxTDqNHyr67brfw5TngjMsvtpZ17VWy7+477HPDhyY/KWVvvCbVSxbJ8S2bJH3uXPvkBT/8OMmxmWJ9uswxwVMOvhosWHca0CVSd685dtq65YiBZGZxg6zLqZKZm4/I+A+z5e7XdstVz+60MP6rB1fIN4cukd+7dZEZDc+Tz5lRMdMUTFf86T1L5W8eXin/On6jXPnsdrnnzb0y+r298ujbm2X+zlLZmFct2SUNdiqkyUC452Ry8ew1J8COdn1h7hkprBXWTucDrHmSosMm/u8ns76T7e3SVVNjR7T8Uq5qwTz7Awt+qLH//vsk95ab7Nzw3ot+Yacqsq+/xk5dAOuS556R8lnvSu2qlXJiz25pO3xIOqurpKfJ1DXi2Mkwx3RjwDTE+dAXTvd2yOmTsVuMJ83VBkAurW2V3QfrZEFambxkRsePzcmVW2fslp8/udlOU3zrvmUGxgvtqNjZVwycmb7436PXyE8mbpKbX9olo97PlqlLD8g7m4plZWalZByul+LqFjsiZlqEFLud7a2Sl5XOnth98BFXBkxrKaz7pLBWWDuda1if7umW5ooKqc/Pl+bMTKldsdyOePkBx/5h99obd5mXXxr7xZwBMjft8h8YJgfHj5PSV16W6oULpGLtWqlNT5fO8nL7A5H+L8NNRtT90/pz8/auXqk80SH7jzbKqr2l8ua6Qpkwf7/c9doeuWjyFvnuyNXyP+9dJl+9bZEdGX/OjJC/bOD8jTsXy5/fv9xOU1w6davc9Xq6jH0/U15fUyjL9pZLWmGdHK5qkROt3dJjRuLJiKdB0tM1RepHhL/CWmGNPi2w5kW73ScapLWgQI5vWC8Vs9+3P0UueGS45Nx2s32SIuPiX9lf0/EjDp6yOPTkRDn65htSs2KFNGZk2J9Gk86Un0ubHe5bsznAzbbbe/3b8dMAa55zrm/pslBekVEuM9YclBGzsuTq53bIvzy+Qf7ygRXydfs0xUJ7A+/zN86388bfeXil/Gjcernm+R22/NQl+fL+1iP2CY0Dx5rk2PF2aWrvtiPxro5W01D+D/8xDaP5rOOEv8JaYY3ONayJXlPc9MHJ9g7prKyU5txcA9rlUjrjJSkcM9KOiu3PmskpceXldl6Znz8XPTNFyj54X45v2igt+/cbINfIqSTmXp3s0yDGfHU+wNpcYsiprti8fUd3r5QbiGYW18v8tDKZvIiRcrr8eMIme9Pu9++IjZJ5uuIrZsT8R0OXyvdGrZGfTdwot7ycJpMW7Jd3NxfLqqwKyS09IdUnOs06E/dzngZJZs77bFJYR0hhrbB2Otew7jEHd51pxxO70qRy3lwpnjrFTlMwfwyU7VzyjddKwYiH5cjzz9ofefBoG+kySSZEYqGOzi77RIevPs2wZkR7vLlL9hTVyMwNBfLE/H1yrRkF/+Cx9fIn9yyVL9/y65HyN+9eap/A+NXkrTLsrQx5dlmBLNp9VPYcOi6Hq1ukovaEtBvY+Sr0OWuFdYQU1gprp98krPmxRndDvbQWFkrtmlVS+vJ0m5si45q+m3xm1Jx3x21SNO5RKXvzDXtzrzkvT7qP1w34cgIAE/yc9acE1tyMO1TZImuyK+X5FYUy9PV0+ffxG+XP719hH3ljTvlLBtB/bED9/z26Tq6atkMenZ0jb244LGtzKuVgZbN9uoIc3PHq7myTHvs4oZ8U1hFSWCus0acB1j1m/5pysqVy7hx7Uy/31pvtc8lYzg3XyYHRj8ihl16Uuk0bpc20Jz+9TvUGX+hz1uczrHvNyLm0rlVWZ1fI04vz5Ypp2+0jb8wvM2JmKoMR83dHrJYrntkqY+fkypztpZJ+qF5Ka9uktTP5/g0sQ2CrsI6Qwlphjc4LWJv6N/UDJY/LtZHtbeVyOTxlss1hTN7ijMsukn333CnFzz4jVQsXSFN2lvSYEXOP6QvNAX0ZfRZgLSd75HTfnHNDS5fsLKyTl1YdlNte2S3/OGatgXNsnvkLNy2wT2HwSNz9b2fIjDVFsj63WgqPNUhNXcD2jT5TsOYLB8fZRhHJSBM5xWAfChlN5BSDfYg/mjBhQhCsqX19ZaWcyMywiYNIOMQTGVlXXCr777nLJiKqW71K2oqK5GQEEPFPNQ9zvM6bRE6mP/jqWG2zLE0rlgnz98nPntwsf3zPMjNqXiBfvGWh/NmwFfLzpzbLiFnZMtuMmrNKGuS4AfpHdLrXPqccIiAXMggEtiH+bD89Pd17AIXYPm05hIODtJjQG+BwsKVi7ERxcbHNxcxnn3VgLkXqufDHh2AQB+IRVWYgC/XHiB3pUckNzueoMgMZ+0Cjsg8c5KnGob+/b1/AhzZwqWJTtcHw50Tz2GOPnUmRmqgePebExqkN6zYniRN7dsmRl16UrFtvlvSLfi57DKD3jX5Eji6YJyfy90t7Q4Ndp/PpMdvo7rcNlhG/kL7AOhjRYon2P8rwISd5iD/7To566pGoP560eT44RZ0yI+hOWZdTKY+8l20fn/v6HUvkt68n78UC+f7IlTL0tTR5a12h7CmslpqGVvsrR+crp0gX2mOvTEgjyknbty9g1IN0uwxgfOKAhfgTN9pgx44dlg++bcH2aU/78gGmMVgpBwoBSsXomACG3LdAwmcdWDmJxclta85EUcsTmfP32T4+NApxcN/jywxk8f4+BijJCc7LB4hpVJlExiiIfaBhferg/H37Aj60gUs4n6qF+tN3OEB4+cCkSZPs56hyGInvyVPM/9X79snBN16XrNtvlXTyYfAapgnjpWLVSqk/dNAmiyfVpk0qb9qJTG4ucfzH1mv+TvyII8dWVJlExjqqqqqs+bYDLx4I8ef/LVu22HpwXMeXwdpbW+Rkt7kC4IcfB47JlPmZ8tOJG+Qbdy6x0xs80/zvT2yUR2dny9LdpVJ0rM4+Ckd+5lPGj4x07W0tZnsfXzf74PqCTx0w/CoqKqSGX3x6xiHEn7jx4oCNGzd6HZMYPmyf9jzzWq9zOWftLt99LzecP6MBX3EWIw6sy0eh/ih0zpo2ZB84G/sIf0AT0hdoQ9rCNw6h/iiZOWuexGCOmTzJPOfMzcHCR0dJ3do10m4Ojv5z1lZmf9inZPaLk0RoX2AkhvmKExfmK7iQaM6a+uWUNtifXfOsM4mL+AHKP45ZZ28Krs06Kker6vtK/1oujjHr+2OEXF8IEbBj8OMrgBkyHcX2Q+es2T5tOYSAnWtYoxBYo1BYE8xPO6zdiRdY+Aj/UFjTBiEH2GAcoIlgzRtDeJtI+s9+bF/xdPSN16TlQP6ZJzbcnPMpz+ecLwRY7zvaaDPG/cUDK2yKT55/vvr5nTJzc4l9vjmmXulq95+7P19gHeI/GLBm+wrrflJYf/ZhTa5m0oEC6ZybbpCKD96XrqqqvqW/loMt8fDRZxnWJEJ6YUWh/cn2/7huroX00DfSZVt+zcceqTsf+oLCOk4Ka4W103kJa9MmvNEk+4ZrbLL8ijmzpauurm/hx6WwjoZ17pETctnUbXa646u3L5LbZuyWLftrbPL9KCmsFdaRwl9hrbBGFtZPP20/n+rqlLJXZsiuf/mhnZNuP3LE/n0gKax/Deumptije/y68O9HrrajaZIgzdlRahPyDySFtcI6UvgrrBXWCFhPff55GlWKp06WXT/6J5vz+WRHcjeKFNaxvsBz1j2d/NKwWr41bJkZUc+Tm19Kk0NVyc1DK6wV1pHCX2GtsEZPTJwo0158URo+nCO7//kHNpmSaZi+pYmlsI71hYJ92bI1p0T+ftQ6+dz182X4zExpakv+h2cKa4V1pPBXWCus0YSpU2XcVVdKwWUXS9krL/f9NXkprNFpOw1yyZNr5HM3LpAbX0yzSfdTkcJaYR0p/BXWCmv04vPPy4t/8WdyeNg9NulSqlJYx/T60j3ypZvmyXdHrpGiitRTACisFdaRwl9hrbAGr8umvyjL//avpWH1itgfU5TCWmxO6Xvf2CP//dq59u3bPlJYK6wjhb/CWmFN9NMmTZBtP/uJdFdWxv6YohTW5pg+3i7fG73OpiolNamPFNYK60jhr7BWWKPMRx6W3TdcBzX7/pKaFNYi+481y9fvXCrfHbVOapr8jiuF9WcU1uzDpx3WgO5cw5p9CIE1CWc+1bA28c948H7Ze8dtKT0B0l/EjzhesLA2+70rp0huenK+DHtxlRxv8tsPhfUgw5ovIQcnIuNcSUlJ3zc/+R4YTqF1QKHrCPUnsxZZvkIUug++oO+v0LYM9c+4Z6jkPvxg3zc/neu+cC51+PAhmb9gobw3e5613bt39y1JXee6L4ScMNFg+Ifm+ncasnXrVlm3bp1Nh8jnVG379u2yaNEi+eCDD2Tbtm2RZZKx9evXy6ZNm7zXQR1IRejjj8/mzZvtOqKWJzL8iR918I0j6/jwww9l7ty53jHAXB181xHSF9gmbRgSx5B22GL8t2/eJJuvuVI23H6L+b5dtnrEgfr77oOz0DjSlzZs2ODVjvjgm6o/+0vu5eXLl8vsD+fJOx8skFmz5xtwz7fLUqkP26UvUI+o5YkM/5C+4Az/EC6w/6H+b775pjfb8GH7tOWQG264Qa688kq5/vrr5cYbbxS+p2I333yzXHLJJfKLX/xCbrrpJq91YFdddZVce+2158QfH+pPHKKWJzL8r7vuOm9/jNj96le/kosuush+jiqTjPm2pSsf0hfwoQ1C4og/bRm1PJFda+J2q9n3hf/6Q3nzpz+W60zfvN4jDtT/iiuu8I5jaF9gHVdffbVcc801KW8fc/5YKv5sb9iwYTJz5kwzop4rb3+wUGZ+MN8OxHihA20T5RdlbHcw+gL+PjHAXBxC4khf9PXnOMb3Jz/5SdAxxTqoh335AJfezNExv8IcTSrGXEpBQYF9dQ2ffdaBMQXg3vYStTyRkWjd1x8f5mqJQ9TyRBbqjxG7nJwc+wICPkeVSWSuLZkvTTUOlA/tC/jQBrRF1PJE5vzpC1HLE1lLW5s0Gt/tV1wqOROfsC8WONtLAs5m7AP1Jw7EI9U4xPtHlUlkrIOE8yFJ83383b5v3brFjKznmlH1Annvg3mybNkyW59U+iXrCmrLfv6p1KG/4Ufy/5CXkoT4Ey/8uSIJefkAb+vB7Jx1yI0MREPytpgQkWA7ZL4U/5B5QuaWQuLA3FpoHOmcWIhC94EOFiLaICRZO30gxP90U6Ns++XPpODF5/v+4qfQOIb6c8Ma8xU393xvuDc2npAFKzbKM6/OlnnL1pvj2+8RyHPdFxA3KUO4ws29EH+2zy9BQ8TNSdpyCJAKeRqEgxtYl5aW2ooxMmR9qYpRyKf9aZAQf+LIXWPmDHlxro84YbAPvp0Lf0ZWISe93+QTAIxacnNzP1Lf7qpK2fivP5Scl17s+0vqYn3E0ffmlvP37QsI2IcAn/4UcuJ9dul++eM758nDL6+Rxga/AcRvsi+cTYxMz9XTILQf+8+TcvQJ3rFaVlbWtzR5nXkaxBfWdGRuiD355JO2UVjH888/LyNGjJDx48fbAykVUakLGdYLFy60c1MPPfSQvPXWW16guJBgzWOOY8eOtfF64403ztS5NSdLVv/D38v211613310ocP65MlTcs2zW+WLt6+QSx+aLulpW/uWpKYLGdYMuh588EHrDxvmz58vDz/8sAwfPtwOylJRMKy5U3nZZZfZHUArV660LynlsmX69On2pkQqolEuZFiTLJ8bO8z/+z6TeaHAmv187rnn7FNIHIyPPPLImUvN6nffljl/9eey4M037HcfXeiwPlzVJH83YpX8/m3zZX2G31UeulBhzaN6d9xxh33wghgw7w64GcDu3LlTxo0blxLrgmHND2F4HGXatGn2O6PBOXPm2M+A/MUXU7sMpVEuVFgDBe7CP/roo3a0yBWL73rYh886rOm8PJ2Ql5dnv7/yygxZYgYLp4xf8V13yJN/9Rfy0quv2GU+utBhPX1VoXz59qXyg0cWysjRj0puTnbfktR0ocIaODMdzPHM9nn4YsKECXYZNyuZeUjl3lTKsOaHLzNmzLCjZjfFwRmEaRAErIEM4tlAhfXAogEYSU+dOtWOpjn5AUrmq++8804pKirqK5m8LhRYc/XWH9avvfGmLFu3To5/MEsOXH6xjLjiMpn2cuqpUZ0uZFjnlZ6Q7z6yWr565zJZvKdcNq5ZLqNGjvS62rtQYY2AMVPCbJ+rvokTJ9q/A2tejvGJwpqNMM3BGYIbiigzM9OeJdCKFSvk6aefto36sjlQZs2aZf+erGiUCwnWAOeFF16Q0aNHy65du2z8AGV5ebkMHTpUYT2A2E+u6JYtXSrdpq6PmX635pkpsv/iX8rxWe/KE2YAMbXvis9HFyqsG1q65PZX9sh/vWqO/OqJFdLY3CZrV6+yfVRhnZpg5AMPPGD9+cy9FR7fY5Q9ZsyYlNaZMqyjxMjm2WeftUFlRxhlsyOMeo4dO9ZXKjnRKBcSrPuL2L/00ks2dhwYs2fP9gLFhQJrRN8bOXasjHligky5/lrZ+8ufyeGxoyGlTDTwjnq7ebK6EGF9pKZVrnthp3zp1kXyg8fWy9jJ02XKUxNkxCOPSFZWVl+p1HQhw5rfGjA3DRc5nhi8cm8FY+YhFQ0KrFkJD2uzY4wICSx3QRmFpyp8L1RYI8DAlYq7tPfRhQRrxNTR8ocfkrR//aEcHveodNfHLi0/9nbzFHWhwXptTqX82xMb5beunSs/eny95JQ2Sktjg6Sl7TxzFe2jCxnW8IS5a/a/sLDQ8oF3WvI5VQ0KrJ14dpBf34WISl3IsEaAknsDvrqQYN1SUCBHJjwu+by668Xnpaf11y9xVVgnB+vS2lYZPzdP/mjoEvnt6+fJxVO2Sl7Zib6lsUt5+rWvLmRYO7H9tLS0oGNqUGGt+awHB9acdbnZ6KsLAdatJkZHDJz3XvRLybn1Jjm+eZOcjoOqwnpgWJfUtMq0ZQfkH0avld++YZ58c+hSGfdhnlSf+DWUqDv3UriM95XCOrZ9fflAnPD/tMNaXz4QfYCeNvVpPZAvxdOekb0X/9LYL6TstRnSfZarEIV1DNbt/fy7e09JZkm9TF6ULz8Yu14+Z0bSX7ttkVz/wk5Zk11p9rWvYJ+oO08x0B98pbBWWEcKf4X1px/W3WYfWvouvbvrauX4xg1y8PGxknHJLyXj8kuk9KUXpe3QwDFSWBv1dkh3Z7tUneiUZXvL5Y5X98if379CPnfDfPn9OxfL5c9sl8W7j0lbV3RbK6xjOq9g3f8Ap3Olaqg/rKPKJGP9YR21PJE5WEctS8YcbIlH1PJEFuqP+sM6qkwiA7LsAx0jankiw5+D07cvYO4Ai1r2MbM1/aja6+qkcucOOfraK5Jz0/WS/oufyb6775DyD96X9qO/zquAb9Q6EY+TOlhHlUlk7sRNPKKWJzLn79sXMAfrqGX9LV787Xhzl6xIL5WRM/fKv47fKF+5baGdk/6LB1bIPW+ky/rcKmlq6z8X/fH1Uvf+sI5fnoyl1BciLNQf6w/rqOWJDFi7ZFJRywcy5GANH6LKJGNs38KaYABb5qbYMb6nYqyIjHtMotO5fNaBD0+T8GQJlYsqM5ANhj839oiD+x5fZiCjPA+5O38fo2PyiBRPhBDTqDKJDED4tiXlQ/wxfGgDHtuM8udvzaaPtJi6thqgtZqTAn+rMyeoijVr5PC0qZJz682y55c/k8yrr5B948dJ2bq1cqK6WtpMWXxIeRq/Xme0PSeaUaNG2d8EAJxU60F5AEUciEeof1SZREY9eMIK69+fm5ubpLXFwKOtRbo7WuVUd7v0mP+r6xpkb2GlzNp0SB6ZlSn/MWGTGT0vkd+5cb588+4l8u/j18voWemyNadUWsz+ne5pl8520p1+fNux7cTqzC+UqQfHdXyZRMY6eCrsbH0hkeEzUF9KxogdN0ldqtioMgMZ2w3xB7C0IS8PgC8+9WC7/AiRJ0uGMBolKJx9oH+qxiiiuLjYgobPUWWSMWBHZaKWJWP4UzHffaBD0rmIR9TyREbDEEdffyBDVi5OfL51APjsA7CPWp7InL9vX8BoA+LYTR2M9Zh69ZrRARfbTM50m/i0mc5/fG+6lL43S/aPGSl7rrjUAPqnknPzDVL45AQ5tny5dFSU2zic8UsiJra8ATTPt06ePNmObKPKJTLqTxyIR9TyROb8ffsC9QD4pCrt7TVXSSeJAJEwI3XzuaOzS45UNcrKvWXyxNws+dWTG+Xbw5bKF29eYEfQfzR0mfxs0kaZOC9XtuTXSE1jh5w+hb8ZqRn/qG3GG/vOAIx6+PbHM30hYlkyBg9C/NlvIAn0opYnYyH+bJ+BD48zw5eoMomMdbB91mPzWfOFju0rzn6h7xmjYeggvnKg9xWwJA6+ckENET81ZyrEV1wysQ8Ay0f4u8t3X/UY39a4djhp2oYbhDVLFsvhJydKnhk9Z17yK8m8/FLJv/duKXt5ujTs2C495oTbZfadEXSI+JVtyJw18SOOxMNHzj9Ep3vNsXA6FsfWzl77BMeGvGp5cVWR3P36XvmnsevlG2b0/Ls3LpCv3LpIvjN8pVz2zHaZuGCfbM2vlaq6Runt9p9rpe48F0x/8BXHI8elr+BBiD9iEMVJ11eccEL82T6/WoQvvmL7wH6IO0B9D3DEpZLeYNQbjKjdjABqzdVB/fZtUvH+exbO+4beKZlm9Jx11RWy/76hcuSF56R2zWppMyen3riDsdPEMRR0n+YbjL0nT0l9S7fsKqySmRsLZfy8fXL5tG3yd4+skq/evsjC+Us3L5Q/v3+5/PKpzTL6g2yZt6NUDhxrlMZ+89DcXGxvS+3n5v1F3fUGoz4NEimF9acL1jzb3Muoo6JCGvemS+W8uXL46adk3z13y97LL5EMRs5XXmpAfZccnvp0DM6mfqcSdPzBOEDPF1gPJLpJc0ePlNa2GTDXyYfbS+2o+I5XdstPJ22Sb9+/Qr50y0L53A3z5PfvWCx/O2KVXDFtu4ybmysfGjinHzr+ETjHi4Mb85XCOiaFdYQU1uce1ux5Y3v7x57SOGXapYubLPvzpG7dGimf+Y4cmvSE7L/3bsm+/hr73HPmlZdJ3p23SeH4cVL81pvSsHOHtB8pkZ4UD7bPAqwRN/6cOnpOSk1jpxSUN8nKzAp5Ze0hGTErSy6duk2+P3qtfPPu2Hzz582o+cu3LJBvD1suPxy7Tm5/ZZc8t7xA1uVUycHKFmkxcE9WCuuYFNZxUlh/BmBt9rvXdIrjpaXScviQhW3Fh7Pl8DNT5MDDD0rODddKZt+IOevaq2T/sHstsMvffUfqNqyX1oNFcrK1xbRB95nnpH30aYU17d7W1SuVDR2SVXxcFuw4JDPWFMnoD3LkxpfS5F/Hb5DvPLxSvnHnYvus8+/eOF++dvsi+YsHV8hPzEj6zlf3yLSlBbJg11HJONwgpZUN5gD9ZH7BmIwU1jEprCOksB4EWJttN5nOMVBL8mtARrsdZWXSmJlhpyfKZ82Uw1MmS/7D90v2LTdK5lWXS8alBspXXyF5t98qRY+NlbLXXpGalculKTvL+jIFEiVSljaZDu6rwThAec6adL3eOn1KOtui68AvARtau6Wivl0yiutl0Z6j8vLqIhk+K1OufHa7/PCx9fItMzL+2h2L5QtmtMzjc7936yL51n3L5Xsj18hFk7fIg+9myIsrC2V1VqXsKzshtY0d0nvqo/2mp9tczXT6Q0JhHZPCOk4K6/MD1my50XSOnq5OA9Nm6aqqsrk06rdvlcq5H8qR6S8Y8I6RvLtut6PjzCvMSPnSi+xUxv57h9plRc9Nk4p5H9qnM9pLSux6TqfQN86HA7T/j2JS1UkDzeb2LjlYVmNv2u0srDOj3TKZvqpIHp2da38J+POnNss/jF5j55W/fGtsXvmLNy+Ur9+xSP78gRXyz+PWy2VTt8jDMzOt37ydZbKjoE5KqlvNunvsSTWRuPuP+UphHZPCOk4K60GCdXGxHDSWSKfNtoBoZ2WltBzYLyfSdkjNihVy9N13pODJSXJg1COy/5677dRFxmUX2+kLRsm5t94shaNGSPG0qVL+wXtSv3mjNOflSsfR2Ej51MlT0tT28TnrVHSuD1B+QPDqq6/Iu+++K62mTvGibu1dJ6W+pUuO1LbK3sP1doQ7a0uxzZtx31t75cpp2+WfzQj5rx5aKX9w1xL56m0L5Qs3xUbJTF382X3L5e9GrJafTNpspy8en5srb288LBv3VUvOkRNytLZF6uobzMb8I/mbhHX8qB5FwZoTWSpSWCusI4X/px3Wh0tLpYgnJkw9es26gHFrYYGdP65ZukSOvf2WBW3B6JH2J9g5N1xnIczoGCDn3Hi95NxxqxwYOdyUmyJH33lLqo1f4+5d0n7kiPSYdZ4y+3k2secnTBxD+sK5PEDLTPyWLFkic+Z8KLONrV+/QXbtPyqL9lTIq2sPyqSF++Whd7PkhhfT5CcTN9msc4yEv2ZGxL/bN4/MjT4ekfuzYSvknx5dJ7+avNUAebdMWrBPXl9/SBanH5P0Q/X2KQ6mQ5gW+bhOS3tr2PPBvwlYl9R3yLg1pbIs/+MJsaJgfbCuXR5bXSobDiY32lZYK6wjhf+5hDU/BmlKcHAxX3yyvV166o9beDbvy5MGMyquXbVSKufMltxJEyVj+INSaGCbZ2Ccfd3VknnZJbFnlK+8rG+64i4pfHS0hfaxd9+W2pUr5MTuNGnJ3y/tph3qDeB7POPAAcrBeS5hLad67E+po9TVc9JOI3AT78CxJkkrrLNPV7yzucSm/Hxn3kp5f/ZceXf2Annng/nygfl82+QF8oVbYvPHTFd83oyQv25g/Cf3LJW/fHClnWNmrvm+N/fKkwbms7aUyNrsCtmx76gcqWmRJrO9VEeU7gZlyIn7k4b1nqPN8vfPZ8u0zceksePjN6SjYE11Vhiw//OMXHlmS3nfX88uhbXCOlLnFNbGp8scWPUVFdLFz71Lj0hTbo7Ub9ksVYsXyjEzwi15bpoUjRsr+++/V3Jvu9mA91oLYfs8svk/l6RFPHFx1x1y6InHbc5mHpGrWbZUTuzaKW0Hi+zjc3a6YoCG54Rx0hMSgwFrfk7e0pL8qJJ4xyDcLdU83nasQbbvOyYbcqtl3s5SeXXdIXl6cb6MfC9bbpuxWy56eqv8aNwGOw3xJ/cuk9+7daH89g0L5PdumS+PT/9QPpizQN5+H1gvMKPreTL+tWVy1XNpdkQ9efF+ec2sb+Guo7LtQI0cKG+SqhMd9pG4eCD3dkbfQE1G5zusj9R3yl9NzZCXd1T2/eXjioK1U1Ftu3x7SobMzqrt+0u0FNYK60iFwpraN8dNEZw2AWYkzOuiOkwdmZJoysyQ+q1bpHrZEil/b6a9aXfIjIgPjBwhOUxNGOhmXXm5/UGINQPiHDMi5ld8BabMoUkTpHTGS3YkXbd2tZ1vbjax6yo/JkVZWXLwwAGz4b4dSFEcYLSl16N7RoMBa3P5IB1tLXYU1tVjrjbMyLSioV0KK5rt/PCmvGr7eBrQnLSAaYlMuXXGLvvM8b88vkH+Zvgq+bNhy+UP7VzxIvn8jfNjI2J+Vn3bQjuH/D/vWyb/a8Qq+Y8nNsrVz+2Qu15Pl/Hz98v81dtl/vz58v6cuXYaZPHiJXKk9Jh0mv1IRT6P7vXX+QDr3q52OWUsSvcvLpZ/ezVv4G5m6p5uYN3YFP3jnhkG9H/9TKY0d569rymsPwFYE5BPO6ybTYWSCQdPNpw02+k12+s2I1WeeGjJyZG6zZuldME8qZj9gRx9/VUpnvq0FD06SvKH3Sv77rgtBuGrDIT75oezrr1Scm68TvJuv0UOPDBMCseOkcKnJsnRN16XKrOe4xvXS1NWhll/sXTXmhGxaXTmoi3FzqLDZWVy0OyPr0Jhjc42omS3e3pP2TwVpOAsr2+XosoYgDfkVsmi3Ufl3U3F8vzyA/LY7CwZPjNLbn5pt53zBcJ/P3KNfaTtq7cvtr/Msz8CuWmBvXH3ZfP9GwbCzB9TjqkJRtC3mpH0I7Oy5KmF+2XGmoPyoRlpk94zq6Te5sqoa+q0++NGxV2mXUmE9e6778gH779v+6WPiB/9MQTW+IfAmmRcmK+Kjh2XjJLjcvh4pxyua5f99d32+DhhTp5/NCldXoocVZ+Uw1WtUnjCxNSgPMsMTNoa66XcnGyrOz5al4qmbvniuF0yP/fs71sdDFgDyxABuSCunE+wdqMpOhidK1VDvIPRveg1qsyAho8xns3tGuDmV5TwJosYEDxRVSXNZnTaUVYaGwHnZEvD9m1Su2qFVM6dI2Vvvi4lzz4jByc8LgdGPNR3g+5ayb76CvtcMQBOZ0rimivtNMX+YfdIwajYSPjIy9Ol/P33pHr5Mjm+ZbN9Prm1qEg6Kyukx4w8Tnd1SrfpEDw2l0iuvtb6xQHx2F6RWS/i8a7+y/vbR9fSX9zY4uBIDBnWw82xNgO7OgPfsro2KTjWKNvyymTz/ipZnlEus7Yekekri+SJeXnysBkB89jaVWYky8+huTn3Nw/HRsG8w+9rBsLMC3OT7vM3LZQv9d2o+4M7l8if3rtU/tfw1Qba6+WSKVvlppfS5KF3Mi2EXzcj7AVpZbLOQHhvcYPsLz0uxeW10tLRa08OyevXsZg4caJMmzat71usrqkYB5a7wohansicP8dW1PJEhjg4MRRVJsqIweneTpm14oB8bdQO+fqjO2TIg1vkvz64Xb4364g0myLrCurl60/sloxjMQhaXz70dMm27AoZNztHvvJUjrxR3i3H9mXJjLfT5P+6b4c8WRADnttOd+9J+dGMXLlzPo+afnQ/nLmRcdSyZAx/d4XiYwjYupNeVJlEFuKPgPXu3bvtAwhRZRIZYvsW1gQT2HrnszbUJ+Ne2q5ddqUtZqXNzsxlXDN/M2XIYdxioNpiOrLNZYyZCvBrNz5X1NZKHTlfG5ukgRSax45JXXGx1Jh1V6fvkcqtm6V81Uo5umC+lM58Vw4bgBY9/aQUmBFt/kP3S/adt0nWzTdI1nVXS8Zll8heA969PLZmQJx13VWSxZMSt98quQ/eL/vwefopKTTrOPzeTCldtkRK16+Tg1u2SM2BA3L8yBGbQ5n62fzLnNnYT3NCs8Zn6kKd2s0yU8d6c3AeLS+PxdBZXKz6W7Oz5iabY5gfQORmZ1njOenO9hbp6miVns5Wc0nbZnMXnzL/nzTW29lm/85PmmN5iZulvuGEVNQcl32Fh6XgSKXsK66SXQfKZWP2UVm254jM2XZY3lp/UF5Yni9PzM2Vh9/ZK7e8nGbfGPLTiZvtq57+dsRqA9Zl9nlh5oIZAZ8BME9K3LLA5qn4n6bMXxtQf2/UGvmRGQWTUOja57bJ0FcNhN9KkzEz0+T5pbny7voDsiztkGzLLZOsogo5WFYtlbX1JjZNdqqE+lGX09TN2Mlu00/MSK6uusLUq83mbW5rbTEdvtnWkVgRs6h4YhwYgHLkyJE28x6wTbVPUx7QMioHFKH+UWUSGfWIymedyDpNPPfs2C+fG7VLHt9wWHIKi2X0G+nylfGZsvpIg0h3mzy7sVi++vguySurs21gfYntiXpJKzJ/O1Er1z+7S/59UanM+HC3fG9alryXUSUl9b+ORZtpj1bTFpe/nSf/PiPL9N8m8/2jcaLshZ7PmmmsQc1nDfHJBc1ZjNE1+YdjdlJ6TGfHes0IwZohPRfYGJMmbuLkSGWVZPe96JWxEDe4evHt7pIuA+0Os6NtVZXScqREGnkUjWmHtB1StXatHAO+77wtB56ZIvkTn5D8MaMk14xqM2+9SfZec5WkX3mZTQyUbsDLyJdXO/GUBKPfffcOlQPDH5Ki8eOk4KlJcuTVGXYUbUfAmzbKCQN5+5REaal01dVKt6l8T0e7rSf7zr46Y7a73gSXutk6GLN1NfW2cSAmBgTEqwczn7FeYyfNsg6z3ob64+Zzj5xitG+MUf/pU2Yt5BI+Hb/F2Ajl12ZG1kWFNqc1uSQaWjqk4niLHK5slH2l9ZJeVCObcytkye5SmbX5kLy88oA8OT9XRr+XKfe9sVtumr5dLpuySf5t3Br5/shV8jcPLZe/GLZU/sSMer8BfA1of/em+fI7fY+oMfJlDhgwk6CeVz59b9Rq+edx6+SiyQa+L+yUoa+ny6NmpPXMsnx50xz8JBBakVkh2w7U2ueJi6tNR2rskBOtXWaEHssl3dPVIZ2tzHPG1w/rq/vpWGyIG/maz8TV/E/nPH68/szf3N+TMXd1SD5rfsHI56hyiYzLTo4JLuOjlicy55/Kvvc36gHo3ZRWVJkoo6/NmZshf/HaISkz7WAuoKU655B8c0qWbGwg7idl1Ipi+fK4XXLc9K9TfbGnP5MvPNbre2Tx8v3ytQnp8g+vbJG9x/umMUxZVx/6/KmTPXLLnAL5zjMZ0tnNMfDRfcEYDQKp+L8na6H+xM4NQlOJY39z/lHLEhnHAyfunTt32oFsVJlExn6zffqCzWfN6JZDKVIGNKcMdE8akPU0npAuQ3nmeVsNBBv37pWG7VvloAFk1oyXpOrD2XLs9Vftkw+HDXgLR4+UA2bUyw809t12S2zagZGufRTtcsm+5krJvvaq2N9vudFOPRQZWJNWkzSax95+U6rmz5XaNatiN+LycqXt8CHpNCPYLnPWdvPAzEMzAub9fb4CHIwQ/HVKus1o2Kn35Glp7z5pb7Axx3usPnaTLaOkQbYeqLGPnPHLNuZ5+ZXbU4sOyNBXtsu10zbJ9dN3ycVTt9k3fvzjo+vsKJYRLzfX+BnzV25bZEe9zPnaeV+mHMzf/sBAl58182OOv3tkjfX98cRNdvR8y8u7ZNhbe2XMBzlnnoqYa+C7JqdSdh2sk31HG6W4qlkOHq2W403t0mH2nXSdqaqnh6Tz/vOMAJLOGSJyg0ydOrXvW+riIGNU4y5DU5XzDxEHt7v8TkUZ2w/I16bsk+Vl5njtbZOFy/LkK5P3SW7fvfenNx2T33t8t1Q2n33KMXvbAfmtx/bI2LV7De/PXo/rPyiUH7yc2/ft4wLuIW05GH0B4IfMWTN4CPFn+4OWz7rlQL6Ub9kktRs32Gd2+Vny0bffktKXX5TiKZOl6PGxsTleA1xe/c8PMRjZ8mMM5nkzzYh3z8W/lD3mf3fDjbSYTE3wPPChpyZKyQvPy9E335CKObOleskiqV23xv6cudlc8vPyU34WXW8ud8iFzLPIPmL6hTORvz6aD+LUqdPSZa4uSGMJbCsb2u0v3gButhlV7iiotW+F5smGmZuL5YXlBfLEh1ny2JxcO7/LL9uufX6n/PKpLXau9h/HrDUAXW3fg8czvl+/fbF80YCWUS6/jPu8GfV+5TbmfpfKV25daKcbKMe8MD9t5l16v5y8Ra58dodNo0nWNlJqkmOCX8/ZUW9GuazZWyJ7D9fJQQPe8vo2qWvutHXg8bhk2NNpf8zhf9I7H54A+DTns3byfRokP/uIfHP4VvmL8bvl+5N3yxfGp8vwjOYzg7HZmTXydbMsryp63Z31J+ShV/bKb4/KlOFL9pizRvTTINzT/cWb++Wa92NX1FE6H/oCsA25QcjJ4ry5wUh+CKYZ7NyuATAGkPPuuE3yH7hPCkY9IgefGGdzEpe+PF2OzXxHqhbMt6NdbuC15ObIoU2bJHfdOumqKJduM+IlUdBJswGeBybvcTJqNQ3Ta1895KeeTtP5Tn00IIwMGSHyHC0/Ly4/HnuCgUt4flDBkwW8+XleWpm8sf6gPL0wRybN3yePvJ8td7++R258aZfNIfzzJzfLv4zbYOdoY7BdJn9oRrG8JZoR7ZduMSNc5nYNfGPgjU0xkGHtj4cujY12H1wh/2vEavukwy8MwHnkDOg+8HaGjJmdI9OWF8mk2bvkxUV7ZXV2lWzLr7GJgngWmB9ncLI40dptM7txc+dsIOjpYHTvBwl3s5mRoa8U1ucS1j0y5Y1M+e7rBfLOrlKZuOywLC766LPWORWt8lUD66X7j/f9xeh0r6w3x8Oa3ONy70v75Nl08//ze+UHr2wyDdoknd2nPnb6PtHRK384YY9M3nD2J24U1oMM69rVq+TourXSkLFXWosK7Ruku2qqpYeD1nSW0z3Muw7cacuP10m+GSGHqKu9RU72xi7N6OM8CcCTCiRY52kFfrVWaka2Bw1s80pPyK6i4/Y1R8CWUeWMVfny/LJ8mbrkgIyfmyvDzcjz7tf2yHUv7rSPgf37ExstKMl89p2HVlqA/sFdi+2NtC/ePN8+QvalWxbZKQUeK8N4pAwYM6f7bQNpEsAzQibd5c8mbZbLn9kmt8zYJfe/kyGjP8iyI+vpqwrljQ2HZc72UrtvG/OqZPfB47KvrNHO8fLMMScOHjnrMSeT/kl9jpYWy7Ejh/u+pS7gAiR8L7kU1jF9mkfWJXsOyldHbJc/npIpP3guw9he+cmsEkmri8GCXfrhS7lyz8J+r4/r6ZS7n90i/+m+nTJ0S4O9V7N0eZb891HrDIwN8A80S/yebD7cKL/zaJrkV599HxXWgwxrvrT3+q8I1VQdk4L82HPWwIdHwjq6YiPa2qZOOXq87Qxk9xhw8RLPtTmVsnTvMQs14Pb0wlx5Ym6Ozf/L3OrtZtR53Qs75bKp2+yjYoD2u4+slr800OR5XUa3zOF+3c7hLpQv3booNrK9YZ4d3QJb5nYZ/QJbnmDgJtrfDl9lcz6QG4J1X29gzpTF/W+l21f3T1mSL6+sOSjvbz0iS/bwS7oq2VlYK1lHGmzyeEa5/OqNvBDUr7PnpH3OlxssnW3+v3pDhw8fkkMBJz2FdUwXLKzb2+0PhL7zXpmsLqiV7QdqZH1BnVxlBivffLtMmvqqszC3Tn7/id1SUNs3J26u1LZklcv7+Y1nHhrobGmWJ9/bKVP2VEljRDV+/uZ+uX1e0YDXcArrTwDWPIbT1dVjn0IAQCf6RrNACdAermqRvLITZoRYZ3+Bxtzo3J1l8vamYvtz4PEfGNi9usVezt/3Voa9mcX0AY90cZMM0P7vUWvOPJfLFALP4PJWDDeKZVRLmknmbr9gzI5szaiXqYQ/vWepnX7gV2u8WYPHxf5jwka52HRCYHuXGUHzRMSjZnTLT5OfX15gn9+dvf2IGd0eM6Pb6jOj20OmLsdMnTiJkGeCaRJGuN3dPUHJd4B1M89cBxygn6bXep1NCutzCOuWRvn++O3y0w+rpbyuSarqG6WitlHueHqL/PWcCmnp2x3+e3RVqXz/xWz70/OzqTAvw+zIR+es28zxMnx5ifzw5Vypahr4dxEK60GG9aj3suWe13bJXa/ulpte2iVXPbvdThv82ECWNyh/d+Rq+euHVlpYMjpllMrNL0azLm3kFw1ov3xb7NVETCuQRhLIUpYfRHx7WGy+9v8zI1oge5HpPFc9u0NunJ5mQcsNuVHvZcjkhfvsL9W4YceNu1VZFbJpX7Wd8sjuG9mWmJEtUwncOGOKhKkSRvIE9WRPaj+q6S8etQt5GoQ736EHqMJaYe3kBWs5JZlpR+Wn47bLFx/dIX82Yad8a8w2+eEHpbLz+Ef7BHv2/NZyuXLWAdle8vF4U/f43CClDZ12+uSu+Qel9ETiJyQU1oMM61hayBh4maNlWuGbQ5fa/At/+cBym6uBed5/GrvOzvteNGWrXPd8bOrggXcyZdzcPBn1bpqMeXu7vLr2kM1aZkGbWWGnO/g5Mm/DYBqEX8nZ53L7INvZN6plGoEfQLg5ax+1mVExz4v6imCGHGAK65gU1ucS1jF1tnRI2uEa2VpQI/m1HR+bb+6vw8c7rMXvaRSsj7f2SG7l2TP5xUthPciwZiT7yqp8+XD7EVmaXi5rsytlq4Es0wbZJQ2Sf6zJ3hgjFwRTBw60JOlxN8dqK4/J4cJ8+9lXrS3NBnj+iZhoVDqHrxTWCmunTzusEb8KxXwVBetUpbAeZFjzJSQdJDp27Kjsv8DzWSusY1JYnx+w5uDGfKWwjuk8gzVZ9zRFqsJaYe2ksFZYO51XsKZD0bEU1gprhXVMCmuFtZPCOkI0isJaYa2wjklhrbB2OgNrvhAQ346JSGNImtQQEZQQ2OIPMH3FARbSMWiM0I51+PBhC2xfAQf2wRe27sQd0hdoA9rCV/SBEH9EetQQWBM/4ugLW+cfIt9ETk6hsKfuGRkZtj/46nzoC0AuZBAIbEP82f6gJXIiIORrpWMQXL6nYkAKyGRlZdnPPuvAh9y3DrhRZQaywfAnGOTPdd/jywxklKdRnL+P0Zi85QQjjlFlEhmNyj74tCXl8Q/pC/jQuWkLX3/aMMSfE81jjz0mkydPtp+jyg1krIP6E0fikep+xPtHlUlkrIMRLZbq9jF8SO2J+frzf1pamu0PPv2RdZzLvoDhR4pVTpy++0CqW19/4kYb7Nixw/LFdx/YPusJf/mA6ZgAZlffywd81oFPeXm5bRgaOKrMQOb8OUB8/WlUpnPc9/gyA1m8v49xqcMJDyOOUWUSGaMg9sGnLSnv/IFEqv4YPrQhbeHj7w5u34Tz+DOqHT16tEyaNOnMCDcVY7vUnzgQj1T3I94/qkwiox4+Lx9wxj6QrN7XHx/WsXnzZlsPQBNVbiDDP7QtQ/wx1nEuXz7AAI4XB4S+fIDt05b2tV50KkZ2XPqkaogGZc46anmyxo4xEolalozhz5koalkyxhmMOBCPqOWJLNQf9Z+zjiqTyIAT+8AZPWp5IsMf0Pj2BYw2pC2iliVjof6o/5x1VJlERvyII/GIWp7InL9vX8AAJBa1LBkDFFjUsmSMuvefs44qk8jOdV/AgB0DoahlyRiAZfAUtSwZY/vMWcOHqOXJGNunLYfwxXVMXzlYh4hGoXF8hT+w9pU7wIiHjxysff2R3mDUG4xODta+crD2FXXXG4z6NEikaBSFtcJaYR2Twlph7aSwjpPCWmHtpLBWWDsprCNEoyisFdYK65gU1gprJ4V1nBTWCmsnhbXC2klhHSEaRWGtsFZYx6SwVlg7KazjpLBWWDsprBXWTgrrCNEoCmuFtcI6JoW1wtpJYR0nhbXC2klhrbB2UlhHiEZRWCusFdYxKawV1k4K6zgprBXWTgprhbWTwjpCNIrCWmGtsI5JYa2wdlJYx0lhrbB2UlgrrJ0U1hGiURTWCuvBgvXUqVP7vqUuhbXC2um8gjU7A2xpFFbM91SMFfXPZ+2zDnzIG+vyWUeVGcjwcfmwqVRUmYEMf/LNuty5qVqoP0bHzM7OtvmsiWlUmURGx2YffNqS8iH+GD60AW3h40/bhfoDSpfPGuBElRvI2C6gJQ7EI9X9iPePKpPIqIfLZ+3bn8mjHOLP/y6ftctTn4qxjpC2DPXHqHv/fNRRZQYyfMgL7vLkR5UZyDjZ0g6bNm2yOeZ99+FMPmsg4d4uwpkwVeOMwZtiMjMz7egyqkwyRsOwc1HLkrFQfxo25O0eof7EkZMer0fjc1SZRAbk2Qc6SdTyRIY/HcO3L2C0AW0RtSwZC/XnqiDkTTEY8SOOxCNqeSJz/r59AeOEiUUtS8aAAxa1LBmj7jt37rT9wfe4Ptd9AWMQxUkzalkyxptiOPlGLUtkxI3t86YY+BBVJhlj+7SlvoOxT4zIiIOvAGyIP9J3MMYunUP8Ee9gDJkGIX7E0Xcaw/mHiBMm5itOGJivqLu+gzE2jRHiz/YH7R2M7gANmafUOWuds3aiDUJARR8IBZ3eYNQ5aydgy1WCrzhZhPizfb3BGCf8FdYKa6SwVlg7KazjpLBWWDsprBXWTgprhXWk8FdYK6yRwlph7aSwjpPCWmHtpLBWWDsprBXWkcJfYa2wRgprhbWTwjpOCmuFtZPCWmHtpLBWWEcKf4W1whoprBXWTgrrOCmsFdZOCmuFtZPCWmEdKfwV1hcOrNnHAwcO2J9E5+TkfKTtFdYKayeFdZwU1gprp9/UAVpYWCjXX3+93H///fLkk0/aHA5OCmuFtZPCOk4Ka4W102/qAF2yZInNrEc+lXgoKawV1k6fKVjzhQ8hHYs0hGSMCxH7EFIh/H0hhQAUgfVVqD8qKSmR4uLivm9+Yh98IYPonCF9gTYMgUSy/q+88orceeedNmETYGa/nUjk9Mwzz/R9S13UP6QtQ/0RoAoZvHCAh0AGka43pB6hfYHjOcQfkQyLgZSvBsOfhFghxyQnPfrCEC4nOYMy/8eorqioKCUDMOS9Xb58uQVNVJlExnapEKNzRpdRZQaywfDnZEMc3Pf4MgNZvL+PEce1a9fKmjVr7OeoMokspC0p7/wLCgpS9sfwoQ1oCx9/2i7en33i7xwwGzdutCCmv5HpkRy/dOKxY8fK4sWL7YFdWloq9957rzzyyCO2TPw2Ehnbpf7EgW2nWo94/6gyiYz6Mg+P+fRnfMiNjvn4uzovWLDA1sPnuGYdIX0h1B+j7pxw8vLyvOOIf25urpc/V3204bx587z5ynbZPm05hC+skAU0ChtIxTg4tm/fLqtWrZIjR45ElklkbJd9oEI++4APFeIg8fXnwGIfopYnMudPQKOWJ2PEkSTlGzZssJ+jyiQy2pJ9oFOkGgfKh/YFfGhD2sLXnzZkH5w/+8TJi1HW0qVLZdiwYXZgQJwoy98ff/xxu4xRDFNyzGOPGjXKXvHFbyORsV3i50CXaj0oT/ycf1SZRMY6ABVph1PdPub8MV9//meqiXoQ//gyiYx10Bf6t2UqFuqP4QeoQ7ni2w7EjTZYtGiR9zGFMRBkPYM2DUJAQsT8XMg0CP4h0yBcpoRccjENEnrJxsmOBg1RaFty2RviTxuEzLXSB5LxX7dunTz00EP2RQNMg/Sf25w4cWLwNEhIW4b6I64YQu7BDMY0CKAOmQb5TfWFgUQMQrgyWNMgIfeB2L6dBqFjcTMkZGV6g1FvMDr9Jm8qcXLjQIjvN3qDMXbSDjlhUHemQPQGoz4N8jHRKAprhfVgHKAKa4W1k8I6TgprhbWTwlph7aSwVlhHCn+FtcIaKawV1k4K6zgprBXWTgprhbWTwlphHSn8FdYKa6SwVlg7KazjpLBWWDsprBXWTgprhXWk8FdYK6yRwlph7aSwjpPCWmHtpLBWWDsprBXWkcJfYa2wRgprhbWTwjpOCmuFtZPCWmHtpLBWWEcKf4W1whoprBXWTp8pWPOFgPh2TEQqSjJThYighMAWf4DpKw6wkI5BY4R2LDJsAWxfAQf2wRe27sQd0hdoA9rCV/SBEH9EGtUQWBM/4ugLW+cfIhIAYb4KhT11J+8K/cFX50NfAHIhg0BgG+LP9tPT070HUIjt05ZDCGhtba2lN8DheyrGTpApjryvfPZZBz68lonA+PhjIf74EIy6uroz3+PLDGTx/j5G7MhcSDpEPkeVGcjYBxqVfeAg96kD/iF9AR86J20RtTyR4U8bhvhzoiET3+TJk+3nVOtBeepPHIFFqH9UmUTGOoAklur2MXwaGhrsqNjXn//T0tJsf/Dtj/QF32MCf9cXfOqA4UccAL7POvCpr6/39idutMGOHTssH3z3ge2zniF0iLKysjOVYkSQigEGRtW7du2yn33WgTE6p2PQQFHLBzK2GepPoxAH9z2+zEBGeTqV8/cxDnBOeJmZmTaOUWUSWUhbUj60L+BDG9AWIf5Mq/n40/YcIOSyJk2qG+GmYmyX+hMHDpBU96O/P/GMKpPIqEdlZaU13/7s/H3iiA/GSx6oB6CJKjeQ4X8u+wJG7MrLy6W6uto7js7fZx84WfGCDF6a4aAfVW4gw4ft05ZDGH3QKenkXPqkasjNWUctT9bo2AAralkyRsUYGUYtS8Y4ixEH4hG1PJExigrxR8xXk6Q8ankyBpzYB87GUcsTGf6AxrcvYLQBbRG1LBmjD9AXopYlY2j8+PFnpkGiyiQy4kcciUfU8kTm/H37AsaBjkUtS8ZC/am7m7OOWp6Mneu+gAE7Bj9Ry5Ix9j/En5MEc9bwJWp5Msb2acshfCEgNI6v9Aaj3mB0og1oC1+5AzxEeoNRbzA6AUug7ytgH+LvYA1ffMX2Fdb9pLBWWDsprBXWTgrrCNEoCmuFtcI6JoW1wtpJYR0nhbXC2klhrbB2UlhHiEZRWCusFdYxKawV1k4K6zgprBXWTgprhbWTwjpCNIrCWmGtsI5JYa2wdlJYx0lhrbB2UlgrrJ0U1hGiURTWCmuFdUwKa4W1k8I6TgprhbWTwlph7aSwjhCNorBWWCusY1JYK6ydFNZxUlgrrJ0U1gprp/MK1nwhIL4dE2k+6xjsQzuW5rOOHeAh/oh81lOnTu37lrqIH3H0ha3zDxHJezBfhcKeums+6xhsQ/zZ/qDls+YDqQjpGASXAKVi7ASQIbUnwPJZB0beWwfcqOWJDH8C6+OPD0ElDlHLE1moP0YcyWXNSY84RpVJZJyB2Qca1icO+NfU1Hj3BXxoQ5fLOVUbDH8g4/JZo6hyAxnroP7EkXikGof+/hxbUWUSGetgRIulun0MH7InYr7+7Dv5rOkPPv2RdQxWX/CpA4YfqUk5cfqsw/lzwvLxJ260gctn7bsPbJ/1DKEiTGPQMYAdAUrF6JhAhnzW7JDPOjDyxjrgRi1PZCH++NAoLvduqhbqjwGG/vmso8okMhqVtqRhfeLg/H37Aj60AW0RtTyRhfpzwmRUO3r0aJk0aZL9HFVuIGMfqD9tSTxSjYPzJ44cW1FlEhnrIA8ylur2scHw53/yWVMPjuv4MomMddCWIceU6ws+dcDwIw80JxyfdYT6EzdyUW/atMn7mMSH7dOWQ9ylr++lM6JBdc5a56wRbUBb+Io+EOKPdM5a56ydgB0DIV8BzBB/tq83GOOEv8JaYY0U1gprJ4V1nBTWCmsnhbXC2klhrbCOFP4Ka4U1UlgrrJ0U1nFSWCusnRTWCmsnhbXCOlL4K6wV1khhrbB2UljHSWGtsHZSWCusnRTWCutI4a+wVlgjhbXC2klhHSeFtcLaSWGtsHZSWCusI4W/wlphjRTWCmsnhXWcFNYKayeFtcLaSWGtsI4U/gprhTVSWCusnRTWcVJYK6ydFNYKayeFtcI6UvgrrBXWSGGtsHb6TMHaHeDnEtZ0ahrFF9bO/0KHNW3IPvh2DPwHC9a+cXAHaEgcBwvWvnFQWMcU2pbnC6xJWeyrQYU1OwNsaRRWzPdUjBW5fNZUymcd+Lh81OxUVJmBDP+Kioogf/LNuty7qdaB8qH5rOmY2dnZNqc1MY0qM5CxD3Rs9sGnLUP9MXxCchDTdqH+ANblswY4qa6H8oCWOBCPUP+oMomMepAHGfPtzy6fta8//2/ZssXWwye/Ous4fvy4d1viE5rPmrqTj5oXQfjuQ4g/J9vQfNbU4Uw+ayDBztAgjA4ZGaVijCJ4UwyQ4ezhsw6MhmHnzoU/PgSFOEQtT2Sh/hhxdG+K4XNUmUQG5EPaEn86hq8/PrQBbRG1PJGF+tP/ALR7UwyfU60H5ak/cSQeIf4cW1FlEhnr4ITJAZ7q9jF88A3xZ9937txp+wNxjSo3kLGOweoLPnXA8At500uoP3HDP+RNMayD7dOW+g7GPgFI4uArghrij4qLi+1UiK+43GQffC/f8adjhPQF2oARhK/wpy1DxDsYQ6ZBiB9x9L18d/4hAviYr0KnUag772AMqUdoW8KD0L5ADDjx+Iq+HOLPIG4w3sFIXxjiDlDfAxzpDUa9wehEG4Qc4PSBUNDpDUa9wegEbLlC8hUnixB/tq9Pg8QJf4W1whoprBXWTgrrOCmsFdZOCmuFtZPCWmEdKfwV1gprpLBWWDsprOOksFZYOymsFdZOCmuFdaTwV1grrJHCWmHtpLCOk8JaYe2ksFZYOymsFdaRwl9hrbBGCmuFtZPCOk4Ka4W1k8JaYe2ksFZYRwp/hbXCGimsFdZOCus4KawV1k4Ka4W1k8JaYR0p/BXWCmuksFZYO32mYM0XAuLbMZEmcorBPrRjkb0QYPsKOLAPvrB1J+6QvkAb0Ba+og+E+KNQWBM/4ugLW+cfovMlkRP9wVfnQ18AciGDQGAb4s/2ByORE205hICSd5Y/sEKgk4rRMckWRy5mPvusAyOVIBXz8ccn1J8DgzhELU9kof4YsSsoKLBpUvkcVSaRhbQl5fEnJaVvX8CHNqAtzpU/J5rHH3/cpkgFOFHlBjLWQf2JI/FIdT/i/aPKJDLWASSxVLePDYY/+06OevqDT39kHeeyL2D4kVoU4PvuA/4A28efuHFlQqpZRse++8D+05ZD+KesrOxMpRgRpGJAilG1e/mAzzowRufkAPbxx8f5E9ioMgMZ/nQK4uC+x5cZyCjPwen8fYzGJCd4ZmamjWNUmUQW0paUD+0L+NAGtIWPP22HP9Nqvv50cPfyATp6VLmBjO1ygBEH/k91P/r7E8+oMomMepD0HvPtzyH+zmfz5s22Hozq4sskMvYhpC84f9++gFEPXl7ACwB89yHEn5MNLw3YuHGj9zFFHdg+bTnE0Z9OzkiEkUkqhmhQN2ftsw6Mjg2wfPzxwZ8Rja8/Iwni4L7HlxnIKM8lm/P3McR8dVFRkf0cVSaRhbQl5fGnU/n2BXxoQ9riXPmj8ePHn5kGSXU9lKf+xBHYh/gTz6gyiYx1cKBjqW4fw4eDHPP1Z9+Zs6Y/+K7jXPYFDD8AyeDHdx8AJicrX3/aYPfu3ZYvvutg+6xniNshGsdXnD1DbzASVGDrK+pAQHzFAcY6iIeP2HaIPwqds6Zx2Qcg4yP8HWR8NRg3legLIRqMG4zUgXj4yPmH9AUAg/nKwd5X1P18uMEY2heIQQhX2D4nDV8BWeas4Yuv2D71sLDm7BVygOrTIPo0iNNgHKAh/kifBtGnQZyAZQhsBwPW+uhenPBXWCuskcJaYe2ksI6Twlph7aSwVlg7KawV1pHCX2GtsEYKa4W1k8I6TgprhbXTb/IApZ4cDPFSWCusnRTWcVJYK6ydPskDdP78+bJ69Wr7mefin3vuORkxYoSsWrXK/s1JYa2wdlJYx0lhrbB2+iQOUPYHIH//+9+Xl19+2f7trbfektdee03y8vJk+PDhZ55PRwprhbWTwjpOCmuFtdNgHKDUob/4244dO2Tq1Kkyc+ZM+7dx48ZJbm6u/fzCCy/IkiVL7GeksFZYOyms46SwVlg7DcYBitXU1Ngpj/5JcD744AM7okZjx4490+fefPNNWbhwof2MFNYKayeFdZwU1gprp9ADFH/2gw5+xRVXWPC6g+Wdd96R119/3X5+6qmnZNu2bfYzPy8n/4KTwlph7aSwjpPCWmHtNBgHKAcI+0JM+9eFEfSMGTPsZ+A8cuRIefHFFy2sqbeTwlph7fSZgjVfWGFIxyIzFak9Q8TOcHD6Cn9fSCEARRx8FeqPSDVLfpAQsQ++kEF0zpC+QKcMgQR94GxxPHLkiI2RU1pamsyePdtmJeuviRMn2vltXxG/kLYM9UeAKmTwEppbBJEBMgSWg9EXQvwRMQjhCifMkEEg/pz0QgdAAHsI/5CKkKDQOfieirEiRoQ0LJ991oEPeXPpGCH+gMbXn4OLOEQtT2Sh/hixO3DggE036xonVaNjMtfr05aUxz+kL+BDG7qc2lFlBjLn73Jqxy/n4Mf4TIyAIsZJmr/hw/LHHnvMTpO4sqkY66D+xJF4pFqPeP+oMomMdZDtDkt1+xg+PNqI+fqz75wMORH6rsO1ZdTyRNbf32f7GH7EgKsc3zrQl7m6CPHn5jh88F0H26cvDKFB1q1bZ1dITmq+p2KcNRYtWiTvv/++/eyzDnzWr18vW7duPWf+27dvt3GIWp7IQv0xYjdv3jyZO3eu/RxVJpGR5Hzt2rVebUl5/EP6Aj60wYYNG7z8SSWJP20Z5c/f+v89/jv+PCFy6623yn333Wen5tyyZI31UX/iSDz6rz8Zi/ePKpPIqMemTZuspbp9DB/nz7qiygxk+GPczKU/cBkfVW4gw9+1ZdTyRNbfn89RZRIZdacvbtmyxWsd+OBPXm8ff+KGL9N38MF3H1jHpk2b5P8HZPSJFWGdBwEAAAAASUVORK5CYII=)
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
How does the graph
compared to the graph of
?.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
How does the graph
compared to the graph of
?.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Write an expression for the function which has a translation by 5 units right of
.
A cubic equation is an equation involving a cubic polynomial
Write an expression for the function which has a translation by 5 units right of
.
A cubic equation is an equation involving a cubic polynomial
Find the maximum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the maximum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the minimum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the minimum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.