The normal monthly precipitation at the Seattle-Tacoma airport can be approximated by the model shown below, whereRis measured in inches andtis the time in months, witht= 0 corresponding to January 1.(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.

relative minimum(t,R)

relative maxima (t,R)

(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 ofAugust,September, andOctober.

Find the indefinite integral

integral (x+9) squareroot7x dx