Please answer each question step by step

13. (5 points) A satellite radio station launched an advertising campaign 8 days ago to increase its number of daily listeners. The station currently has 13,403 daily listeners (8 days into the campaign) and management projects the number of daily listeners L(t) to grow at the rate of L'(t) = 3t2/3 listeners per day, where t is the number of days since the campaign launched. How much longer should the campaign run if the station wants to reach 20,000 listeners? For problems 14-15, let f and g be the following functions g(x) = e*(1-x?) flx) = (x*+3x)(x*+ 1) 14. (3 points) f_llf(x)dx = 15. (3 points) d E[Q(x)]