Can you help me with this practice problem

1. A parking garage has 230 cars in it when it opens at 8 AM (t = 0). On the interval OS/ $10, cars enter the parking garage at a rate modeled by the function E(t) = 58 cos(0.1631 -0.642) and leave the parking garage at a rate modeled by the function L(t) = 65 cos (0.281/ ) + 7.1 beginning at 9 AM and continuing until 6 PM (t = 10). Both E(t) and L(t) are measured in cars per hour while t is measured in hours. a.) How many cars enter the parking garage over the interval t = 0 to t = 10 hours? b.) Find E'(5) . Using correct untis, explain the meaning of this value in the context of the problem. c.) Find the number of cars in the parking garage at time t = 10. Show the work that leads to your answer. d.) Find the time t on 0St $10 when the number of cars in the parking garage is a maxumum. To the nearest whole number, what is the maximum number of cars in the parking garage? Justify your