Chapter 13.6, Problem 9E

(a)

To determine

The point of intersection of the two curves $f\left(x\right)$ and $g\left(x\right)$. The graphs are following these equations:

$f\left(x\right)=x^2$

$g\left(x\right)=8-2x$

(b)

To determine

To calculate: Area between the curves in the interval $\left[0,2\right]$.

(c)

To determine

To calculate: Area between the curves in the interval $\left[2,3\right]$.

(d)

To determine

To calculate: Area between the curves in the interval $\left[0,3\right]$.