Gradient fields Find the gradient field F = for the

Chapter 14, Problem 32E

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QUESTION:

Gradient fields Find the gradient field \(\mathbf{F}=\nabla \varphi\) for the following potential functions \(\varphi\).

\(\varphi(x, y, z)=e^{-z} \sin (x+y)\)

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QUESTION:

Gradient fields Find the gradient field \(\mathbf{F}=\nabla \varphi\) for the following potential functions \(\varphi\).

\(\varphi(x, y, z)=e^{-z} \sin (x+y)\)

ANSWER:

Solution 32EStep 1:Given that(x, y, z) = e z sin (x + y)

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