Chapter 8.2, Problem 70E

Pollution. In a large city, the amount of sulfur dioxide pollutant released into the atmosphere due to the burning of coal and oil for heating purposes varies seasonally. Suppose that the number of tons of pollutant released into the atmosphere during the nth week after January 1 is given approximately by

     $P\left(n\right)=1+\cos \frac{\pi n}{26}0\le n\le 104$

The graph of the pollution function is shown in the figure.

(A)    Find the exact values of P(0), P(39), P(52), and P(65) without using a calculator.

(B)    Use a calculator to find P(10) and P(95). Interpret the results.

(C)    Use a graphing calculator to confirm the graph shown here for y = P(n).