Chapter 16.7, Problem 10E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Evaluate the surface integral.

**10.** ∫∫_{s}*x z dS*,

To determine

**To find:** The value of

Explanation

**Given data:**

**Formula used:**

Rearrange equation (1).

Find the *x* limits by considering *y* and *z* as 0 in equation (1).

Find the *y* limits by considering *z* as 0 in equation (1).

The regions of *D* is

Find

Take partial differentiation for equation (3) with respect to *x*.

Find

Take partial differentiation for equation (3) with respect to *y*.

Find

Modify equation (2) as follows.

Apply limits and substitute

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