f(x, y) = e 10x-z²+8y-y² Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fz = e^(10x-x^2+8y-y^2)(-10-2x) fy= fry fyy The critical point with the smallest x-coordinate is ) Classification: determined) The critical point with the next smallest x-coordinate is ( ) Classification: determined) The critical point with the next smallest x-coordinate is ).Classification: (local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be

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(x, y) = e¹0z-z²+8y-y²
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank.
fr = e^(10x-x^2+8y-y^2)(-10-2x)
fy
fiz
=
fry =
fyy
=
The critical point with the smallest x-coordinate is
(
) Classification:
determined)
The critical point with the next smallest x-coordinate is
) Classification:
determined)
The critical point with the next smallest x-coordinate is
(
).Classification:
determined)
(local minimum, local maximum, saddle point, cannot be
(local minimum, local maximum, saddle point, cannot be
✓(local minimum, local maximum, saddle point, cannot be
Transcribed Image Text:f(x, y) = e¹0z-z²+8y-y² Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fr = e^(10x-x^2+8y-y^2)(-10-2x) fy fiz = fry = fyy = The critical point with the smallest x-coordinate is ( ) Classification: determined) The critical point with the next smallest x-coordinate is ) Classification: determined) The critical point with the next smallest x-coordinate is ( ).Classification: determined) (local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be ✓(local minimum, local maximum, saddle point, cannot be
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