For 0 ≤ t ≤ 30 , the rate of change of the number of mosquitoes on Tropical Island at time t days is modeled by R(t) = [tex]3\sqrt{t}*cos(t/3)[/tex] mosquitoes per day. There are 1200 mosquitoes on Tropical Island at time t=0.
According to the model, how many mosquitoes will be on the island at time t=30? Round your answer to the nearest whole number.