Solve this civil engineering question.

$(8$ points$)$ Difficulty $(5/5)$

Coefficients:

Problem Statement:

Find the zero crossings of the curve given with the equation and values shown. Also find the $x$ and $y$ coordinates of the centroid of the

area under the curve between the two crossings $($the shaded area$).$ HINT: To help solve this problem look up Newton's method for

solving roots.

Answers:

$x_{crossing1}=$

$x_{crossing2}=$

$x_{\text{c}\text{e}\text{n}\text{t}\text{r}\text{o}\text{i}\text{d}}=$

$y_{\text{c}\text{e}\text{n}\text{t}\text{r}\text{o}\text{i}\text{d}}=$

be sure to include units with your answers