etermine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x)= cos 3x on - 4'2 What is/are the absolute maximum/maxima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type an exact answer, using was needed.) B. There is no absolute maximum of f on the given interval Vishaldeep Singh 11/09/23 4:51 PM Question 9, 4.1.75 HW Score: 54%, 8.1 of 15 points Part 1 of 3 Points: 0 of 1 ppose a tour guide has a bus that holds a maximum of 106 people. Assume his profit (in dollars) for taking n people on a city tour is P(n) = n(53 -0.5n) - 106. (Although P is defined only for isitive integers, treat it as a continuous function.) How many people should the guide take on a tour to maximize the profit? Suppose the bus holds a maximum of 47 people. How many people should be taken on a tour to maximize the profit? Find the derivative of the given function P(n). "(n) = 0 Question 10, 4.2.17 > HW Score: 54%, 8.1 of 15 points Points: 0 of 1 Determine whether Rolle's Theorem applies to the following function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem. g(x) =x +8x + 21x +18: [-3, -2] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are x = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. Rolle's Theorem does not apply