Solved: Testing for conservative vector fields Determine

Chapter 13, Problem 13E

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QUESTION:

Testing for conservative vector fields DEtermine whether the following vector fields are conservative on \(\mathbf{R}^{2}\).

\(\text { 13. } \mathbf{F}=\left\langle e^{-x} \cos y, e^{-x} \sin y\right\rangle\)

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QUESTION:

Testing for conservative vector fields DEtermine whether the following vector fields are conservative on \(\mathbf{R}^{2}\).

\(\text { 13. } \mathbf{F}=\left\langle e^{-x} \cos y, e^{-x} \sin y\right\rangle\)

ANSWER:

Solution 13EStep 1:Given thatF = ex cos y, ex sin y

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