Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x) = (x+ 1) on [-5,5] . . . 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. O A. The absolute maximum/maxima is/are at X = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) O B. There is no absolute maximum of f on the given interval.Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x) = 2 sin ~x on [0,it] . . . Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an exact answer, using it as needed. Use a comma to separate answers as needed.) O A. The absolute minimum is at x = and the absolute maximum is at x = O B. The absolute maximum is at X = but there is no absolute minimum. O C. The absolute minimum is at X = but there is no absolute maximum. O D. There are no absolute extreme values for f(x) on [0, It].Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x) = 2x3 33x2 + 168x on [3,8] 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. 5:.3' A- The absolute maximum/maxima islare at X: (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) {:3 B. There is no absolute maximum off on the given interval. Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x) = 4x e -X; [- 1,5] . . Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type exact answers. Use a comma to separate answers as needed.) O A. The absolute maximum is at x = and the absolute minimum is at x = O B. The absolute maximum is at x = but there is no absolute minimum. O C. The absolute minimum is at X = but there is no absolute maximum. O D. There are no absolute extreme values for f(x) on [ - 1,5].Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x) =x In E; [0.2.4] (3 Select the correct choice below and, if necessary, ll in the answer boxes to complete your choice. (Type exact answers. Use a comma to separate answers as needed.) 5:} A- The absolute maximum is at x = and the absolute minimum is at x= B- The absolute minimum is at x = , but there is no absolute maximum. '1'} C- The absolute maximum is at x = , but there is no absolute minimum. if} D. There are no absolute extreme values for f(x) on [02,4]. A stone is launched vertically upward from a cliff 320 ft above the ground at a speed of 16 ft/s. Its height above the ground t seconds after the launch is given by s = -1E3t2 +16t+ 320 for 0 stSS. When does the stone reach its maximum height? Find the derivative of s. Suppose a tour guide has a bus that holds a maximum of 84 people. Assume his prot (in dollars) for taking n people on a city tour is P(n) = n(42 0.5n) - 84. (Although P is dened only for positive integers, treat it as a continuous function.) a. How many people should the guide take on a tour to maximize the prot? b. Suppose the bus holds a maximum of 35 people. How many people should be taken on a tour to maximize the prot? 3. Find the derivative of the given function P(n). P'(n) =