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AP Calculus AB Period Score / 10 Skill Builder: 8.3 - Using Accumulation Functions and Integrals in Applied Contexts - AP Exam FRQ Practice 1.
AP Calculus AB Period Score / 10 Skill Builder: 8.3 - Using Accumulation Functions and Integrals in Applied Contexts - AP Exam FRQ Practice 1. A parking garage has 230 cars in it when it opens at 8 AM (f = 0). On the interval Or $ 10, cars enter the parking garage at a rate modeled by the function E(/) =58cos (0.163/ -0.642) and leave the parking garage at a rate modeled by the function L() = 65cos (0.281/) +7.1 beginning at 9 AM and continuing until 6 PM (r = 10). Both E(r) and L() are measured in cars per hour while / is measured in hours. a.) How many cars enter the parking garage over the interval / = 0 to / = 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 / = 10. Show the work that leads to your answer. d.) Find the time / on 05/ $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
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