Determine the MEAN value of the function $f(x)$ between $x=2$ and $10$ by;

a$)$ Graphical method $($need to indicate on the graph$).$

b$)$ Calculus analytical evaluation of the integral.

c$)$ Integration method using Simpson's rule $(n-5$ segment$)$ to estimate the integral

$f(x)=-46+45x-14x^2+2x^3-0\mathrm{.}075x^4$

And compare these with the exact values given by using calculus integration to calculate relative percent error