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Page 2 ame: Written Portion 1. [8 points) Find relative maximum and minimum values and stive...
Find the maximum and minimum values of the function g(0) interval [o. 7 2θ-4 sin(θ) on the Preview Minimum value-pi/3+2pi Maximum value O Preview Given the function f(z) = 2e - List the x-coordinates of the critical values (enter DNE if none) DNE List the x-coordinates of the inflection points (enter DNE if none) DNE List the intervals over which the function is increasing or decreasing (use DNE for any empty intervals) Increasing on DNE Preview Decreasing on -1/5 *Preview...
Exercise (b) Find the local minimum and maximum values of f Step 1 We know f(x) changes from increasing to decreasing at x = 4 herefore, fT 8V2 is a maximum maximum. Step 2 e know f(x) changes from decreasing to increasing at x = L. Therefore, is a minimum So, the local minimum and maximum values of f are as follows local minimum value-8/2 local maximum value0 kip (you cannot come back)
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing. List these intervals c) Find the r coordinates of all relative maxima. d) Find, if they exist, the s-coordinates of all points of inflection e) Determine the intervals where f is concave up. List these intervals
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing....
(1 point) Find the absolute maximum and absolute minimum values of the function f(z) -6r -63z +8 over each of the indicated intervals. (a) Interval = [-4,0] 1. Absolute maximum= 2. Absolute minimum (b) Interval = [-1, 8] 1. Absolute maximum= 2 Absolute minimum (c) Interval = -4, 8]. 1. Absolute maximum= 2. Absolute minimum
(1 point) Find the absolute maximum and absolute minimum values of the function f(z) -6r -63z +8 over each of the indicated intervals. (a) Interval...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
1. You must SHOW ALL YOUR WORK on the test to receive full credit. 2. Print your name and Id# on the top of the first page. 3. Always give the exact answer(s) in the simplest form unless it's specified otherwise. 4. Box your final answers. GOOD LUCK! 1) (11 points) Find all critical numbers of f(x)=x-Vx. (Show all five steps.) 2) (11 points) The below figure shows the graph of derivative function f '(x) of a function f(x). The...
(3) For the function y =-2(x-1)2 find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing °For the function y = 0.5(x + 3)2 + 2, find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing
[2 points] Find the absolute maximum and minimum values of the function f(x, y) = e*- (x2 +2y2) on the domain D: {x,y) | x2 + y24}. 13.
[2 points] Find the absolute maximum and minimum values of the function f(x, y) = e*- (x2 +2y2) on the domain D: {x,y) | x2 + y24}. 13.
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. f(x) = -13-7x-x? Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer....