f(x) = 7x1/ / - x (a) Find f '(x) = (b) Find the x values of all of the critical points. Enter your answers as a comma separated list. x = 1, - 1,0 (c) Find the global maximum and global minimum on the interval -1 s x s 5. global maximum at x = ( 7) X global minimum at x = 0 3. [1/3 Points] DETAILS PREVIOUS ANSWERS Use the function below to answer the following questions. f(x) = x - 16In(x + 3) on the interval 0 s x $ 15 (a) Find f '(x) = 16 1 - - x + 3 (b) Find the x coordinates of the global maximum and global minimum. On the interval, f(x) has a global maximum at x = global minimum at x = 4. [-/4.5 Points] DETAILS Consider the function f(0) = 6cos20 + 6sine . (a) Find f'(8) = (b) Determine the critical points of f(0) on the interval 0 0 S x/2 . Enter your answers as comma separated lists. 0 = (c) Determine the global extrema of f(0) on the interval 0 s 0 S x/2 . Enter your answers as comma separated lists. global maximum at 0 = global minimum at 0 =5. [45.5 Points] DETAILS Consider the function g(t) : (a) Find g '(t) : |:| (b) Determine the local extrema of g(t). Enter your answers as comma separated lists. local maximum at t = |:| 1' 5+22 local minimum at t = (c) Determine the global extrema of g(t) on the interval 1 s t s 8. Enter your answers as comma separated lists. global maximum at t = global minimum at t : |:| 6. [3 Points] DETAILS A function y : g(x) has a derivative shown below for 4 s x s 4. x 74 4 g (x) (a) How many inflection points does the graph of g(x) have on the given interval? 0 None 0 One 0 Two 0 Three 0 Four (b) Where is the global maximum of g on [4, 4]? x 2 Where is the global minimum of g on [4, 4]? x z 7, HA Palms] DETAILS MY NOTES A warehouse seliing cement has to decide how often and in what quantities to reorder It IS cheaper, on average, to place large orders, because this reduces the ordering cost per unit. on the other hand, large orders mean higher storage costs, The warehouse always reorders cement in the same quantity, q. The total weekiv cost, 5, of ordering and storage is given by c = 275 + m, where a, b are positive constants. (a) What does the term % represent? a ordering cost a stomge cost what does the term 2m; represent' :1 ordering cost n stomge cost 0:) nd 3: = (o) what value of q gives the minimum total cost? q: Submit