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 T, Problem 5BDT

(a)

To determine

To sketch: The region in the xy-plane defined by the inequality 1y3.

Expert Solution

Explanation of Solution

The graph of the region in the xy-plane defined by the inequality 1y3 is sketched below in Figure 1,

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter T, Problem 5BDT , additional homework tip  1

In Figure 1, the region in the xy-plane defined by the inequality 1y3 is shaded.

(b)

To determine

To sketch: The region in the xy-plane defined by the inequalities |x|<4 and |y|<2.

Expert Solution

Explanation of Solution

The graph of the region in the xy-plane defined by the inequalities |x|<4 and |y|<2 is sketched below in Figure 2,

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter T, Problem 5BDT , additional homework tip  2

In Figure 2, the region in the xy-plane defined by the inequalities |x|<4 and |y|<2 is shaded.

(c)

To determine

To sketch: The region in the xy-plane defined by the inequality y<112x.

Expert Solution

Explanation of Solution

The graph of the region in the xy-plane defined by the inequality y<112x is sketched below in Figure 3,

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter T, Problem 5BDT , additional homework tip  3

In Figure 3, the region in the xy-plane defined by the inequality y<112x is shaded.

(d)

To determine

To sketch: The region in the xy-plane defined by the inequality yx21.

Expert Solution

Explanation of Solution

The graph of the region in the xy-plane defined by the inequality yx21 is sketched below in Figure 4,

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter T, Problem 5BDT , additional homework tip  4

In Figure 4, the region in the xy-plane defined by the inequality yx21 is shaded.

(e)

To determine

To sketch: The region in the xy-plane defined by the inequality x2+y2<4.

Expert Solution

Explanation of Solution

The graph of the region in the xy-plane defined by the inequality x2+y2<4 is sketched below in Figure 5,

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter T, Problem 5BDT , additional homework tip  5

In Figure 5, the region in the xy-plane defined by the inequality x2+y2<4 is shaded.

(f)

To determine

To sketch: The region in the xy-plane defined by the equation 9x2+16y2=144.

Expert Solution

Explanation of Solution

The graph of the region in the xy-plane defined by the equation 9x2+16y2=144 is sketched below in Figure 6,

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter T, Problem 5BDT , additional homework tip  6

In Figure 6, the region in the xy-plane defined by the equation 9x2+16y2=144 is shaded.

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!