Chapter 16.6, Problem 21E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find a parametric representation for the surface.

**21.** The part of the hyperboloid 4*x*^{2} − 4*y*^{2} − *z*^{2} = 4 that lies in front of the *yz*-plane

To determine

**To find:** The parametric representation of the hyperboloid *yz*-plane.

Explanation

**Given:**

The equation of the hyperboloid is *yz*-plane.

**Calculation::**

Consider *y* and *z* as parameters that parameterize the equation of hyperboloid as follows.

Rewrite the equation of hyperboloid

As the hyperboloid is in front of the *yz*-plane, the parameter *x* must be a positive value

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