If z = f (x, y) is a function that admits second continuous partial derivatives such that ∇f (x, y) = (300 - 12x2 - 12y2, 18y2 - 24xy) A critical point of f that generates a maximum point is: the answers are in the first attached image

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If z = f (x, y) is a function that admits second continuous partial derivatives such that

∇f (x, y) = (300 - 12x2 - 12y2, 18y2 - 24xy)

A critical point of f that generates a maximum point is:

the answers are in the first attached image

A) (-5,0)
B) (5,0)
C) (-4, –3)
D) (0,0)
Transcribed Image Text:A) (-5,0) B) (5,0) C) (-4, –3) D) (0,0)
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