Question

In given problem, find dw/dt by using the Chain Rule. Express your final answer in terms of t.

w=x2yy2x;x=cost,y=sintw=x^2 y-y^2 x ; x=\cos t, y=\sin t

Solution

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Answered 2 years ago
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Use the first version of the chain rule to calculate dwdt\dfrac{dw}{dt}. Note that a Pythagorean identity is used in the simplification process.

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