At the Mauna Loa Observatory, measurements of CO2 levels (ppm) in the atmosphere reveal
Chapter 10, Problem 10.3.42(choose chapter or problem)
At the Mauna Loa Observatory, measurements of \(\mathrm{CO}_{2}\) levels (ppm) in the atmosphere reveal a slow exponential increase due to deforestation and burning of fossil fuels, and a periodic seasonal variation.
(a) In 1960, the average \(\mathrm{CO}_{2}\) level was 316.75 parts per million and was rising by 0.4% per year. Write the average annual \(\mathrm{CO}_{2}\) level as an exponential function of time, t, in years since 1960.
(b) Each year, the \(\mathrm{CO}_{2}\) level oscillates once between 3.25 ppm above and 3.25 ppm below the average level. Write a sinusoidal function for the seasonal variation in \(\mathrm{CO}_{2}\) levels in terms of time, t.
(c) Graph the sum of your functions in parts (a) and (b).
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