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

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

Text Solution

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The correct Answer is:
`-e^(-2t)[sin 2t - cos 2t]`
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