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Question 4 Your answer is CORRECT. Suppose that f is a differentiable function of x and y such that Vf(0, 0) = Vfƒ(1, 1) = 0. Given that fax (x, y) = -12x + 4y +3, fay(x, y) = 4x - 2y, and fyy (x, y) = -2x - 6y-3 which of the following is true? a) b) c) d) e) f(0, 0) is a local minimum and f(1, 1) is a local maximum. (0, 0) is a saddle point and f(1, 1) is a local maximum. (0, 0) is a saddle point and f(1, 1) is a local minimum. Both (0, 0) and (1, 1) are saddle points. f(0, 0) is a local maximum and f(1, 1) is a local minimum.

Question 4 Your answer is CORRECT. Suppose that f is a differentiable function of x and y such that Vf(0, 0) = Vfƒ(1, 1) = 0. Given that fax (x, y) = -12x + 4y +3, fay(x, y) = 4x - 2y, and fyy (x, y) = -2x - 6y-3 which of the following is true? a) b) c) d) e) f(0, 0) is a local minimum and f(1, 1) is a local maximum. (0, 0) is a saddle point and f(1, 1) is a local maximum. (0, 0) is a saddle point and f(1, 1) is a local minimum. Both (0, 0) and (1, 1) are saddle points. f(0, 0) is a local maximum and f(1, 1) is a local minimum.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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f.pd X calc_3_test_2_spring_19.pdf.pdf d) e) 9- a) b) Question 4 Your answer is CORRECT. Suppose that f is a differentiable function of x and y such that Vf(0, 0) = Vf(1, 1) = 0. Given that fax (x, y) = -12x + 4y +3, fry (x, y) = 4x - 2y, and fyy(x, y) = -2x - 6y-3 which of the following is true? c) d) f(0, 0) is a local minimum and f(1, 1) is a local maximum. (0, 0) is a saddle point and f(1, 1) is a local maximum. (0, 0) is a saddle point and f(1, 1) is a local minimum. Both (0, 0) and (1, 1) are saddle points. e) f(0, 0) is a local maximum and f(1, 1) is a local minimum. Question 5 Your answer is CORRECT. Evaluate the repeated integral: a da dy dz where : 0 ≤ z ≤æ, 1 ≤ * ≤ 2y, 0 ≤ y ≤ 2 a) 5 b) 43 2 / 6 | من 10 9 9 1 + 20 9 3 100% + A c) 10
Transcribed Image Text:f.pd X calc_3_test_2_spring_19.pdf.pdf d) e) 9- a) b) Question 4 Your answer is CORRECT. Suppose that f is a differentiable function of x and y such that Vf(0, 0) = Vf(1, 1) = 0. Given that fax (x, y) = -12x + 4y +3, fry (x, y) = 4x - 2y, and fyy(x, y) = -2x - 6y-3 which of the following is true? c) d) f(0, 0) is a local minimum and f(1, 1) is a local maximum. (0, 0) is a saddle point and f(1, 1) is a local maximum. (0, 0) is a saddle point and f(1, 1) is a local minimum. Both (0, 0) and (1, 1) are saddle points. e) f(0, 0) is a local maximum and f(1, 1) is a local minimum. Question 5 Your answer is CORRECT. Evaluate the repeated integral: a da dy dz where : 0 ≤ z ≤æ, 1 ≤ * ≤ 2y, 0 ≤ y ≤ 2 a) 5 b) 43 2 / 6 | من 10 9 9 1 + 20 9 3 100% + A c) 10
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