Problem 2. (1 point) Let F(x) = ss flodt, where f(t) is the graph in the...
(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...
(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...
(1 1 point) Let F(x) = 5 9 dt, for > 9. In(3) A. F'(2) 9/(In(3x)) B. On what interval or intervals is Fincreasing? те (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.) c. On what interval or intervals is the graph of F concave up? CE (Give your answer as an interval or a list of intervals, e.g., (-infinity, 8] or (1,5),(7,10), or enter none...
Homework14: Problem 13 Previous Problem Problem List Next Poblem (1 point) Let f(x) = – 4 – 579 +6 +5. Find the open intervals on which fis concave up (down) Then determine the so-coordinates of all inflection points off f is concave up on the intervals 2. f is concave down on the intervals The inflection points occur at 1. 3. Notes: In the first two your answer should either be a single interval, such as (0,1), a comma separated...
(1 point) For the function f(x) = e2x + e- defined on the interval (-4, o), find all intervals where the function is strictly increasing or strictly decreasing. Your intervals should be as large as possible. f is strictly increasing on f is strictly decreasing on (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10)) whenever r is near c on the left Find and classify all local max's and min's. (For the purposes...
Let f(x) = 3r" +44.23 + 204r? + 288. - 3. Calculate the derivative f'(x) = Calculate the second derivative f''(x) Note intervals are entered in the format (-00,5)U(7,00) (these are two infinite intervals). Enter "DNE" if the interval is empty. On what interval(s) is f increasing? Increasing: On what interval(s) is f decreasing? Decreasing: On what interval(s) is f concave downward? Concave Down: On what interval(s) is f concave upward? Concave Up: What is the limit as x approaches...
1) 2) Let f(x) = 23 + 9x² – 812 +21. (a) Use derivative rules to find f'(x) = 3x2 +18% -81 (b) Use derivative or the derivative rules to find f''(x) = 60 + 18 (c) On what interval is f increasing (include the endpoints in the interval)? interval of increasing = (-0,-9] U [3,00) (d) On what interval is f decreasing (include the endpoints in the interval)? interval of decreasing = [-9,3] (e) On what interval is f...
Let f(x) = 2x + 8/x +1 (a) Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. If the answer cannot be expressed as an interval, state DNE (short for does not exist). (b) Find the relative maxima and relative minima, if any. If none, state DNE. (c) Determine where the graph of the function is concave upward and where it is concave downward. If the answer cannot be expressed as an interval, use...
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...
Let F(x) = f f (t) dt for 2 in the interval (0,3), where f (t)is the function with the graph given in the following diagram. Ne 1 37 - 1 -2 Which of the following statements are true? Select all that apply. Fhas a local maximum at 2. F has a local minimum at 2. F is increasing on the intervals (0,0.5) and (2.5, 3). Fis decreasing on the interval (1.5, 2.5).