Chapter 16.6, Problem 24E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Find a parametric representation for the surface.

**24.** The part of the cylinder *x*^{2} + *z*^{2} = 9 that lies above the *xy*-plane and between the planes *y* = −4 and *y* = 4

To determine

**To find:** The parametric representation for part of the cylinder
*xy*-plane and between the planes

Explanation

**Given data:**

The part of the cylinder
*xy*-plane and between the planes

For the given data, consider *y* as parameters and parameterize the part of the cylinder

Consider
*x* and *y* such that the parameters should satisfy the equation of cylinder

The parameters are satisfied the cylinder equation

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