Chapter 12.6, Problem 20E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Use traces to sketch and identify the surface.

*x* = *y*^{2} − *z*^{2}

To determine

**To identify**: The given surface equation and sketch it.

Explanation

**Given data:**

Surface equation is

**Formula used:**

Consider the standard equation of a hyperbolic paraboloid along the *x*-axis.

Consider the given surface equation.

Modify the equation.

By comparing equation (3) with (1), the given surface equation satisfies the equation of a hyperbolic paraboloid along the *x*-axis.

Thus, the surface equation

Find *a*, *b*, and *c* by comparing equation (3) with equation (1).

The value of *a* is 1.

The value of *b* is

The value of *c* is

**Case i:**

Let

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