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3. Suppose that z = f(x,y) is a function for which f(3,-1) = 16, А. 1,(3,-1) = 0, f ,(3,-1) = -7, and f(3,-1) = f ,(3,-1) = 1,(3,-1) = 0, f(3,-1) = -3, Does this data say that f(3,-1)% 16 is a maximum, minimum, or neit Briefly explain your reasoning. Suppose I had changed the mixed partial to f(3,-1) = f (3,-1) = 5. В. What would your answer be in this case?

3. Suppose that z = f(x,y) is a function for which f(3,-1) = 16, А. 1,(3,-1) = 0, f ,(3,-1) = -7, and f(3,-1) = f ,(3,-1) = 1,(3,-1) = 0, f(3,-1) = -3, Does this data say that f(3,-1)% 16 is a maximum, minimum, or neit Briefly explain your reasoning. Suppose I had changed the mixed partial to f(3,-1) = f (3,-1) = 5. В. What would your answer be in this case?

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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8. А. Suppose that z = f(x, y) is a function for which f,(3,-1) = 0, f „(3,-1) = -7, and f(3,-1) = f y(3,-1) = 4. f(3,-1) = 16, f,(3,-1) = 0, f (3,-1) = -3, Does this data say that f(3,-1) = 16 is a maximum, minimum, or neither? Briefly explain your reasoning. Suppose I had changed the mixed partial to f(3,-1) = f (3,-1) =5. %3D В. What would your answer be in this case?
Transcribed Image Text:8. А. Suppose that z = f(x, y) is a function for which f,(3,-1) = 0, f „(3,-1) = -7, and f(3,-1) = f y(3,-1) = 4. f(3,-1) = 16, f,(3,-1) = 0, f (3,-1) = -3, Does this data say that f(3,-1) = 16 is a maximum, minimum, or neither? Briefly explain your reasoning. Suppose I had changed the mixed partial to f(3,-1) = f (3,-1) =5. %3D В. What would your answer be in this case?
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