Calculus Problem? Could someone explain how to find the months when the max/min occur for this?

The National Oceanic and Atmospheric Administration (NOAA) has been measuring atmospheric carbon dioxide concentations (in parts per million) at Mauna Loa, Hawaii since 1958. The data closely follow the pattern H(t) = 0.013t2 + 0.81t + 316 + 3.5 sin 2πt, where t = 0 represents the year 1960. (Complete dataset available at ftp://ftp.cmdl.noaa.gov/ccg/co2/trends/c…

1. Explore the CO2 concentration model for the period 1960 – 1962.

a) Graph H for 0 ≤ t ≤ 3 and 300 ≤ H ≤ 340

d) When during the year do the maximum and minimum occur?

Question

Calculus Problem? Could someone explain how to find the months when the max/min occur for this?

The National Oceanic and Atmospheric Administration (NOAA) has been measuring atmospheric carbon dioxide concentations (in parts per million) at Mauna Loa, Hawaii since 1958. The data closely follow the pattern H(t) = 0.013t2 + 0.81t + 316 + 3.5 sin 2πt, where t = 0 represents the year 1960. (Complete dataset available at ftp://ftp.cmdl.noaa.gov/ccg/co2/trends/c…

1. Explore the CO2 concentration model for the period 1960 – 1962.

a) Graph H for 0 ≤ t ≤ 3 and 300 ≤ H ≤ 340

d) When during the year do the maximum and minimum occur?