SOLUTION: Given the function: 4x^2+y^2=4. Find dy/dt if you know: dx/dt=-1, when x=1/2, y=√3.

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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.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Find dy/dt if you know:
dx/dt=-1, when x=1/2, y=√3
4x%5E2%2By%5E2=4
8x%2Aexpr%28%28dx%29%2F%28dt%29%29%2B2y%2Aexpr%28%28dy%29%2F%28dt%29%29=0

Think I'll divide all terms by 2, since we can
and it will be easier.  We don't have to:

4x%2Aexpr%28%28dx%29%2F%28dt%29%29%2By%2Aexpr%28%28dy%29%2F%28dt%29%29=0

Substitute dx%2Fdt=-1, x=1%2F2, y=sqrt%283%29

4%2Aexpr%281%2F2%29%2A%28-1%29%2Bsqrt%283%29%2Aexpr%28%28dy%29%2F%28dt%29%29=0

-2%2Bsqrt%283%29%2Aexpr%28%28dy%29%2F%28dt%29%29=0

sqrt%283%29%2Aexpr%28%28dy%29%2F%28dt%29%29=2

expr%28%28dy%29%2F%28dt%29%29=2%2Fsqrt%283%29

expr%28%28dy%29%2F%28dt%29%29=expr%282%2Fsqrt%283%29%29expr%28sqrt%283%29%2Fsqrt%283%29%29

expr%28%28dy%29%2F%28dt%29%29=2sqrt%283%29%2F3

Edwin