Let ?(?)=?2−8?+4f(x)=x2−8x+4. (1 point) Let f(x) = x2 – 8x + 4. Find the critical point...
Cal 4 , ) and use this to 6. Let f(x,y) = x2 + y2 + 2x + y. (a) Find all critical points of f in the disk {(x,y) : x2 + y2 < 4). Use the second derivative test to determine if these points correspond to a local maximum, local minimum, or saddle point. (b) Use Lagrange multipliers to find the absolute maximum/minimum values of f(x, y) on the circle a2 +y -4, as well as the points...
4. Let f (x1,2)= xi + x?x2 + 4. Find the maximum and minimum values of f when 1 <1 and -1 x2 < 1 4. Let f (x1,2)= xi + x?x2 + 4. Find the maximum and minimum values of f when 1
PLEASE ANSWER ALL. (1 point) Library/Wiley/setAnton_Section_4.4/question 12.pg Find the absolute maximum and minimum values of f(x) = -(x2 – 2) over the interval (-4, 3). absolute maximum is -0.6299 absolute minimum is -7.368 and it occurs at x = and it occurs at x = 1/2 -4 Notes: If there is more than one z value, enter as a comma separated list. (1 point) Library/Valdosta/APEX_Calculus/3.1/APEX_3.1_20.pg Find the extreme values of the function f on the interval (-5,5). If an extreme...
(1 point) Consider the function f(x) = x2 - 4x + 2 on the interval [0,4]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval. on f(x) is on [0, 4); f(x) is (0, 4); and f(0) = f(4) = Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0. Find all such values c and enter them as a comma-separated list. Values of се (1 point) Given f(x)...
I cannot figure out the first set of critical points and classifications. (1 point) The following table gives values of the differentiable function y = f(x). X 0 1 2 3 4 5 6 7 8 9 10 y 1 -1 -3 -2 1-1 -2 123 5 Estimate the x-values of critical points of f(x) on the interval 0<x< 10. Classify each critical point as a local maximum, local minimum, or neither. (Enter your critical points as comma-separated xvalue,classification pairs....
Question 4 (1 point) Saved Find the absolute maximum of f(x) = x2 – 1 on the interval (-1,2]. 0 3 2 -1 Question 5 (1 point) Find the absolute minimum of f(x) = x on the interval (-1,8). 1 2 -1
1. f (s) = 23 – 4.x2 + 162 – 10 (a)Find the x- and y-coordinates of the critical point(s). Make a box around your answer. (b) Determine coordinates of the local maximum and minimum min if exist. If there is no local max/min, state this. Specify what Test you are using. Make boxes around your answers. Show all work. (c) Determine intervals of concavities up and down and the coordinates of the inflection point(s). If there is no inflection...
(1 point) Consider the function f(x, y) = e-8x=x2-4y—y2 Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fxx = fxy =
Please answer all Application-Extreme value problems. (1 point) Library/UVA-Stew5e/setUVA-Stew5e-C04301-MaxMinValues/4-1-63.pg Find the absolute maximum and absolute minimum values of the function f(x) = 2x – 13 ln(72) on the interval (1, 10. Enter DNE for any absolute extrema that does not exist. Absolute maximum = Absolute minimum = 1 (1 point) Library/Wiley/setAnton_Section_4.4/question 12.pg Find the absolute maximum and minimum values of f(x) = -(x2 – 2) over the interval (-4, 3). absolute maximum is -0.6299 absolute minimum is -7.368 and it...
(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...