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Q. 8

Expert-verifiedFound in: Page 384

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 $[1,3]$ has the smallest area

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

Shade region between the curve on the interval $\left[-2,3\right]$ is as follow:

Shade region between the curve on the interval $\left[-1,2\right]$is as follow:

Shading the region between the curve on the interval $\left[1,3\right]$:

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.

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