Question

Help with Harmonic Motion

Answer 1

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 the number of tons of pollutant released into the atmosphere during the nth week after January 1 is given approximately by \[P(n)=1+\cos \frac{ n \pi }{ 26 }, for 0 \le n \le 104\], when will the amount of pollutant be 0.5 for the second time? Round to the nearest week.