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Let U(x,y,z) = xyz, x=e^(-t), y=e^(-t) c...

Let `U(x,y,z) = xyz, x=e^(-t), y=e^(-t) cos t, z= sin t, t in R`. Find `(dU)/(dt)`.

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The correct Answer is:
`-e^(2rt)[sin2t-cos2 t ]
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