Surface integrals of vector fields Find the

Chapter 11, Problem 48E

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QUESTION:

Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or parametric description of the surface.

\(\mathbf{F}=\langle-y, x, 1\rangle\) across the cylinder \(y=x^{2}\) for \(0 \leq x \leq 1\),

\(0 \leq z \leq 4\); normal vectors point in the positive y-direction.

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QUESTION:

Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or parametric description of the surface.

\(\mathbf{F}=\langle-y, x, 1\rangle\) across the cylinder \(y=x^{2}\) for \(0 \leq x \leq 1\),

\(0 \leq z \leq 4\); normal vectors point in the positive y-direction.

ANSWER:

Solution  48E

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