(A) The applet below illustrates the Mean Value Theorem, which states...[br].[math]f\left(c\right)=\frac{f\left(b\right)-f\left(a\right)}{b-a}[/math]
Use the applet above to find the number c guaranteed by the mean value theorem for the given function and the interval (3,7).
(B) Solve the following problem from the 2005 AMC competition. Solve it where a=20. Enter answer in the box provided.
You can use the tools in the notes applet below to write, type, and or attach work.