document.write( "Question 1026701: Given the function: 4x^2+y^2=4. Find dy/dt if you know: dx/dt=-1, when x=1/2, y=√3. \n" ); document.write( "
Algebra.Com's Answer #641987 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Find dy/dt if you know: \r
\n" ); document.write( "\n" ); document.write( "dx/dt=-1, when x=1/2, y=√3\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2%2By%5E2=4\"
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document.write( "\"8x%2Aexpr%28%28dx%29%2F%28dt%29%29%2B2y%2Aexpr%28%28dy%29%2F%28dt%29%29=0\"\r\n" );
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document.write( "Think I'll divide all terms by 2, since we can\r\n" );
document.write( "and it will be easier.  We don't have to:\r\n" );
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document.write( "\"4x%2Aexpr%28%28dx%29%2F%28dt%29%29%2By%2Aexpr%28%28dy%29%2F%28dt%29%29=0\"\r\n" );
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document.write( "Substitute \"dx%2Fdt=-1\", \"x=1%2F2\", \"y=sqrt%283%29\"\r\n" );
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document.write( "\"4%2Aexpr%281%2F2%29%2A%28-1%29%2Bsqrt%283%29%2Aexpr%28%28dy%29%2F%28dt%29%29=0\"\r\n" );
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document.write( "\"-2%2Bsqrt%283%29%2Aexpr%28%28dy%29%2F%28dt%29%29=0\"\r\n" );
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document.write( "\"sqrt%283%29%2Aexpr%28%28dy%29%2F%28dt%29%29=2\"\r\n" );
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document.write( "\"expr%28%28dy%29%2F%28dt%29%29=2%2Fsqrt%283%29\"\r\n" );
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document.write( "\"expr%28%28dy%29%2F%28dt%29%29=expr%282%2Fsqrt%283%29%29expr%28sqrt%283%29%2Fsqrt%283%29%29\"\r\n" );
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document.write( "\"expr%28%28dy%29%2F%28dt%29%29=2sqrt%283%29%2F3\"\r\n" );
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document.write( "Edwin
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