BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1, Problem 9P
To determine

To find: The sketch for the region in the plane that consist of all the points (x,y) such that |x|+|y|1 .

Expert Solution

Explanation of Solution

Given:

The given condition is |x|+|y|1 .

Calculation:

Consider the given condition is,

  |x|+|y|1

Consider the case when x>0 and y>0 in the second quadrant then by the condition of the modules of the function,

  x+y=1

Consider the case when x<0 and y<0 in the second quadrant then by the condition of the modules of the function,

  x+y=1

Consider the case when x<0 and y<0 in the second quadrant then by the condition of the modules of the function,

  xy=1

Consider the case when x>0 and y<0 in the second quadrant then by the condition of the modules of the function,

  xy=1

This shows that the available region on the graph are [1,1] and [1,1] , so the graph is the square shape region as shown in Figure 1

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1, Problem 9P

Figure 1

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!