Given the curves y$=$x$^(2)-2*$x and y$=-$x$^(2)+4,$

$($a$)$ Sketch both curves on the same coordinate plane between x$=0$ and x$=3.$ Submit a graph showing the two functions.

$($b$)$ Express the area of the region enclosed by the curves between x$=0$ and x$=3$ in terms of definite integrals.

$($c$)$ Evaluate the integral$($s$)$ in part $($b$)$ to find the area of the region described there.