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Q. 15

Expert-verified
Found in: Page 575

### Calculus

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

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# The centroid of the region between the graphs of $f\left(x\right)=\sqrt{x}$and $g\left(x\right)=4-x$ on $\left[0,4\right]$

The centroid of the region between the two graphs $f\left(x\right)=\sqrt{x}$ and $g\left(x\right)=4-x$ in the intervals $\left[0,4\right]$ is $\left[4,\frac{172}{25}\right]$

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## Step 1. Given information

Given is $f\left(x\right)=\sqrt{x}$ and $g\left(x\right)=4-x$ in the interval $\left[0,4\right]$

## Step 3. The solution

The centroid of the region between the two graph $f\left(x\right)=\sqrt{x}$ and $g\left(x\right)=4-x$in the interval $\left[0,4\right]$ is $\left[4,\frac{172}{25}\right]$

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