Chapter 12, Problem 32RE

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Identify and sketch the graph of each surface.

**32.** 4*x* − *y* + 2*z* = 4

To determine

**To identify and sketch:** The surface equation

Explanation

**Given data:**

Surface equation is

Write the surface equation of the plane as follows.

The plane is sketched in the three-dimensional coordinate system by determining the *x*-, *y*-, and *z*-intercepts.

**Calculation of x-intercept in the plane:**

The *x*-intercept in the plane is determined by setting the *y*- and *z*-coordinate values as zero.

Substitute 0 for *y* and 0 for *z* in equation (1),

Therefore, the *x*-intercept in the plane is

**Calculation of y-intercept in the plane:**

The *y*-intercept in the plane is determined by setting the *x*- and *z*-coordinate values as zero

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