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(1 point) Let F(x) = ļ," f(t) dt, where f(t) is the graph in the figure. Find each of the following: 2 A. F(2) = 0 B. F'(4) = 2 5 69 7 C. The interval (with endpoints given to the nearest 0.25) where F is concave up: interval = (1.5, 4.5) (Give your answer as an interval or a list of intervals, e.g., (-infinity, 8] or (1,5),(7,10), or enter none for no intervals.) D. The value of x where...
Let g(x) La f(t) dt, where fis the function whose graph is shown. 2 + t 6 V - -2 - (a) At what values of x do the local maximum and minimum values of g occur? Xmin = 2 X (smaller x-value) Xmin = 6 * (larger x-value) Xmax = 4 X (smaller x-value) Xmax = 8 (larger x-value) (b) Where does g attain its absolute maximum value? X = 35 webassign.net/web/Student/Assignment-Responses/last?dep=23533473#Q16 (c) on what interval is g concave...
5pt 1. Let g() = | f(t) dt, where f is the function whose graph is shown below on the interval [0, 5). The graph consists of two straight line segments. - - - ------ -1- - - - - - --1- - -1- - - - - - - (a) Find g(1) and g(3). (b) On what interval(s) is g(x) decreasing? (c) At what x-value(s) in (0,5) does the local maximum of g occur? (d) At what x-value(s) in...
(1 point) Let F(x) = [” f(e) dt, where f(t) is the graph in the figure. Find each of the following: A. F(3) = B. F'(5) = C. The interval (with endpoints given to the nearest 0.25) where F is concave up: 1 2 4 6 7 interval = (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10), or enter none for no intervals.) D. The value of x where F takes its maximum...
I have one attempt left for part c Let g(x) = ( t) dt, where f Is the function whose graph is shown. (a) At what values of x do the local maximum and minimum values of g occur? Xmin (smaller x-value) *min = (larger x-value) (smaller x-value) Xmax = (larger x-value) *max = 3 (b) Where does g attain its absolute maximum value? x = 27 (c) On what interval is g concave downward? (Enter your answer using interval...
Let A(x)=∫(bounds 0 to x) f(t)dt, with f(x) as in figure. Let A(z) = J f(t) dt, with f(z) as in figure. -1 -2 A()l has a local minimum on (O A(z) has a local maximum on (0, 6) at a 6.5 Let A(z) = J f(t) dt, with f(z) as in figure. -1 -2 A()l has a local minimum on (O A(z) has a local maximum on (0, 6) at a 6.5
show work 2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
show work 2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
Q-5: [5x1 marks] Let f(x) = 10 + (x – 2)4 a) Find f'(x) and f'(x). b) Find the intervals on which f is increasing or decreasing. c) Find the local maximum and minimum of f, if any. d) Find the intervals on which the graph of f is concave up or concave down. e) Find the points of inflection, if any.
Answer the following questions about the function whose derivative is f'(x) = 2x(x - 5), a. What are the critical points of f? b. On what open intervals is fincreasing or decreasing? c. At what points, if any, does fassume local maximum and minimum values? a. Find the critical points, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The critical point(s) of fis/are x = (Simplify your...