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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643

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BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

Describe in words the region of ℝ3 represented by the equation(s) or inequality.

30. y2 = 4

To determine

To describe: The representation of equation y2=4 in 3 .

Explanation

3 is the three dimensional coordinate system which contains x, y, and z-coordinates.

The equation y2=4 is also written as follows.

y=4=±2

From the equation y=±2 , the equation y2=4 represents two vertical planes. One vertical plane is y=2 and the other vertical plane is y=2 .

The equation y2=4 in 3 represents the set {(x,y,z)|y=±2} , which is the set of all points in 3 whose y-coordinate is 2 or 2 and x, z-coordinates are any values

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Chapter 12 Solutions

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