### Home > APCALC > Chapter 7 > Lesson 7.1.2 > Problem7-18

7-18.

It just so happens that Hustling Harry’s grade in math class at any week t during the semester is calculated by g(t) = 46 cos$( \frac { t } { 10 } ) + 10 \operatorname { sin } ( \frac { t } { 2 } ) + 40$. At what point during the 18‑week semester is Harry’s grade equal to his average grade for the semester? Homework Help ✎

This is an application of the Mean Value Theorem.

Show setup and steps. t ≈7.630 weeks