# The region in the xy -plane defined by the inequality − 1 ≤ y ≤ 3 . ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### 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 −1≤y≤3.

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

(b)

To determine

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

(c)

To determine

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

(d)

To determine

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

(e)

To determine

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

(f)

To determine

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

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