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Q. 8

Expert-verified
Calculus
Found in: Page 384
Calculus

Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Illustration

Short Answer

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?

Regions on the Interval -2,3 has the largest area

Region on the interval [1, 3] has the smallest area

See the step by step solution

Step by Step Solution

Step1. Given Information

The curve of two function is given such that the two curve form the region between each other as follow :

Part (a) Step 1. Shade region between the curve on the interval-2,3

Shade region between the curve on the interval -2,3 is as follow:

Part (b) Step 1. Shade region between the curve on the interval-1,2

Shade region between the curve on the interval -1,2is as follow:

Part (c) Step 1. Shade region  between the curve on the interval 1,3

Shading the region between the curve on the interval 1,3:

Step 2.  Conclusion

From the figure above in all three part of the shaded region between the two curve on the interval -2,3, -1,2 &1,3 respectively, It is clearly seen that

Regions on the Interval -2,3 has the largest area.

Region on the interval 1,3 has the smallest area.

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