3. (Rainfall) Recall from Calculus 1 that if f(x) is a continuous function, then ff(x)dx is the amount of net change in f(x). The normal monthly rain fall at the Seattle-Tacoma Airport can be approximated by the model R(t) = 3.121 + 2.399 sin(.524t + 1.377). where R is measured in inches and t is measured in months from the beginning of the year. a. Find and interpret ¹2 R(t)dt. 4 b. Use integration with R(t) to find the rainfall in September, October, and November.

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