A rumor is spread in a school. For 0 0, the time t at which a fraction p of the school population has heard the rumor is given by p b 15(1)) =fa m(1_m) do. (a) Evaluate the integral to nd an explicit formula for tea). Write your answer so it has only one 1151 term. P b _ a 3(13) d1!) _ (b) At timet = 0, seven percent of the school population (p = 0.07) has heard the rumor. What is a? a, = (c) At time t = 1, fifty-three percent of the school population (19 = 0.53) has heard the rumor. What is b? b : (d) At what time has ninety-four percent ofthe population (13 = 0.94) heard the rumor? t =