The normal monthly precipitation at the Seattle-Tacoma airport can be approximated by the model shown below, where R is measured in inches and t is the time in months, with t = 0 corresponding to January 1.t (Round your answers to two decimal places.)R = 2.876 + 2.202 sin(0.576t+ 0.847)(a) Determine the extrema of the function over a one-year period.(b) Use integration to approximate the normal annual precipitation. (Hint: Integrate over the interval [0, 12].)(c) Approximate the average monthly precipitation during the months of January, February, and March.