Let f(x, y) = xy + 2y be a differentiable function on the disk f(x, y) = xy + 2y where: f(x, y) = xy + 2y for every point on the boundary of the disk f(x, y) = xy + 2y f(x,y) = xy + 2y f(x,y) has only one critical point which is at (-1,2) Decide which of these statements in true: a) f(-1,2) > 7 b) f(-1,2) < 7 c) f(-1,2) = 7 d) Not enough information is given to determine this

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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Let f(x, y) = xy + 2y be a differentiable function on the disk f(x, y) = xy + 2y where:
f(x, y) = xy + 2y for every point on the boundary of the disk f(x, y) = xy + 2y
f(x,y) = xy + 2y
f(x,y) has only one critical point which is at (-1,2)
Decide which of these statements in true:
a) f(-1,2) > 7
b) f(-1,2) < 7
c) f(-1,2) = 7
d) Not enough information is given to determine this
Transcribed Image Text:Let f(x, y) = xy + 2y be a differentiable function on the disk f(x, y) = xy + 2y where: f(x, y) = xy + 2y for every point on the boundary of the disk f(x, y) = xy + 2y f(x,y) = xy + 2y f(x,y) has only one critical point which is at (-1,2) Decide which of these statements in true: a) f(-1,2) > 7 b) f(-1,2) < 7 c) f(-1,2) = 7 d) Not enough information is given to determine this
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