   Chapter 2, Problem 6P ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Sketch the region in the plane defined by each of the following equations.(a) 〚 x 〛 2 + 〚 y 〛 2 = 1 (b) 〚 x 〛 2 − 〚 y 〛 2 = 3 (c) 〚 x + y 〛 2 = 1 (d) 〚 x 〛 + 〚 y 〛 = 1

(a)

To determine

To Sketch: The region in the plane defined by x2+y2=1.

Explanation

From the equation x2+y2=1 clearly x2 and y2 are positive integers or zero,

then there are four cases:

(i) If x=1,y=0 then 1x<2 and 0y<1

(b)

To determine

To sketch: The region in the plane defined by x2y2=3.

(c)

To determine

To sketch: The region in the plane defined by x+y2=1.

(d)

To determine

To sketch: The region in the plane defined by x+y=1.

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