·n dS, where S is the cylinder x2+ z2 = a2,

Chapter 11, Problem 53E

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QUESTION:

Evaluate the following integrals using the method of your choice. Assume normal vectors point either outward or in the positive z-direction.

\(\iint_{S} \frac{\langle x, 0, z\rangle}{\sqrt{x^{2}+z^{2}}} \cdot \mathbf{n} d S\), where S is the cylinder \(x^{2}+z^{2}=a^{2}\), \(|y| \leq 2\)

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QUESTION:

Evaluate the following integrals using the method of your choice. Assume normal vectors point either outward or in the positive z-direction.

\(\iint_{S} \frac{\langle x, 0, z\rangle}{\sqrt{x^{2}+z^{2}}} \cdot \mathbf{n} d S\), where S is the cylinder \(x^{2}+z^{2}=a^{2}\), \(|y| \leq 2\)

ANSWER:

Solution  53E

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