Problem $9\mathrm{.}16-$ Enhanced $-$ with Hints and Feedback

$5$ of $8$

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Part A

Consider the area shown in $($Figure $1).$ Suppose that $x_0=1m.$

Figure

$1$ of $1$

Locate the centroid $\frac{?}{\text{b}\text{a}\text{r}}(y)$ of the shaded area. Solve the problem by evaluating the integrals using vertical differential area strips and Simpson's rule ${\displaystyle \underset{a}{\overset{b}{}}}f(x)dx$~~$\frac{b-a}{6}[f(a)+4f(\frac{a+b}{2})+f(b)].$

Express your answer to three significant figures and include the appropriate units.

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