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Q. 8

Expert-verified
Found in: Page 384

### Calculus

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

# 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 $\left[-2,3\right]$ has the largest area

Region on the interval $\left[1,3\right]$ has the smallest area

See the 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 $\left[-2,3\right]$ 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 $\left[-1,2\right]$is 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 $\left[1,3\right]$:

## Step 2.  Conclusion

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

Regions on the Interval $\left[-2,3\right]$ has the largest area.

Region on the interval $\left[1,3\right]$ has the smallest area.