(Solved): Consider the function f(x)=x29x a. Graph f on the interval x0. b. For what value b>0 is ...

Consider the function $f(x)=x^2-9x$ a. Graph $f$ on the interval $x\ge 0$. b. For what value $b>0$ is ${\int }_0^{b}f(x)dx=0$ ? c. In general, for the function $f(x)=x^2-ax(a>0)$, for what value of $b>0$ (as a function of $a)$ is ${\int }_0^{b}f(x)dx=0$ ? a. Choose the correct graph below. A. B. C. D. b. $b=$ (Type an integer or decimal.) c. $b=$ (Type an expression using a as the variable.)