8 Shade in the regions between the... [FREE SOLUTION]

Chapter 4: 8 (page 384)

Shade in the regions between the two functions shown here on the intervals (a) $[- 2, 3]$ ; (b) $[- 1, 2]$ and (c) $[1, 3]$ . Which of these regions has the largest area? The smallest?

Short Answer

Expert verified

Since ${鈭�}_{- 3}^{2} f (x) d x$ is negative obviously $- {鈭�}_{- 3}^{2} f (x) d x$ will be positive. Therefore, the answers are negative, positive.

Step by step solution

Given information

the regions between the two functions shown here on the intervals (a) $[- 2, 3]$ ; (b) [-1,2] and (c) $[1, 3]$

Calculation

It is supposed that $f$ is negative on $[- 3, 2]$ .

The objective is to determine if ${鈭�}_{- 3}^{2} f (x) d x$ and $- {鈭�}_{- 3}^{2} f (x) d x$ will be positive or negative. Since, $f$ is negative on $[- 3, 2]$ so ${鈭�}_{- 3}^{2} f (x) d x$ will also be negative.

Now, since ${鈭�}_{- 3}^{2} f (x) d x$ is negative obviously $- {鈭�}_{- 3}^{2} f (x) d x$ will be positive. Therefore, the answers are negative, positive.

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Shade in the regions between the two functions shown here on the intervals (a) $[- 2, 3]$ ; (b) $[- 1, 2]$ and (c) $[1, 3]$ . Which of these regions has the largest area? The smallest?

Short Answer

Step by step solution

Given information

Calculation

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91影视

Shade in the regions between the two functions shown here on the intervals (a) [-2,3]; (b) [-1,2]and (c)[1,3]. Which of these regions has the largest area? The smallest?

Short Answer

Step by step solution

Given information

Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Statistics

Discrete Mathematics

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Shade in the regions between the two functions shown here on the intervals (a) $[- 2, 3]$ ; (b) $[- 1, 2]$ and (c) $[1, 3]$ . Which of these regions has the largest area? The smallest?