CPM Homework Banner
7-18.

It just so happens that Hustling Harry’s grade in math class at any week during the semester is calculated by . At what point during the ‑week semester is Harry’s grade equal to his average grade for the semester?

This is an application of the Mean Value Theorem.

Show setup and steps.  weeks

The Mean Value Theorem

The Mean Value Theorem for Integrals

If is continuous on , then there exists at least one point in such that .

The Mean Value Theorem for Derivatives

If is continuous on and differentiable on , then there exists at least one point in such that .