Chapter 16, Problem 32RE

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Use Stokes’ Theorem to evaluate ∬* _{s}* curl

To determine

**To evaluate:**

Explanation

**Given data:**

**Formula used:**

Write the expression for Stokesâ€™ Theorem.

Write the expression for

Consider the expression as follows.

Consider the expression for part of the sphere as follows.

Substitute

Write the expression for circle.

Compare equations (4) and (5).

Write the expression for polar co-ordinates.

Substitute

Consider the value of

Substitute

Differentiate

Find the value of

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