Find the absolute maxima and minima of the function on the given domain. f(x y) = x² + xy + y on the square-6 sx. y s6 O A Absolute maximum: 108 at (6, 6) and (-6, -6); absolute minimum: 36 at (6, -6) and (-6, 6) O B. Absolute maximum: 108 at (6, 6) and (-6, -6: absolute minimum: 0 at (0, 0) O C Absolute maximum: 36 at (6, -6) and (-6, 6): absolute minimum: 0 at (0, 0) O D. Absolute maximum: 36 at (6, -6) and (-6, 6); absolute minimum: 27 at (-3, 6) (3, -6) (6, - 3) and (-6, 3)

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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Find the absolute maxima and minima of the function on the given domain.
f(x, v) = x² + xy + y² on the square -6 sx y s6
O A. Absolute maximum: 108 at (6, 6) and (-6, -6); absolute minimum: 36 at (6, -6) and (-6, 6)
O B. Absolute maximum: 108 at (6, 6) and (-6, -6): absolute minimum: 0 at (0, 0)
OC Absolute maximum: 36 at (6, -6) and (-6, 6); absolute minimum: 0 at (0, 0)
O D. Absolute maximum: 36 at (6, -6) and (-6, 6); absolute minimum: 27 at (-3, 6). (3, -6). (6, - 3) and (-6, 3)
Transcribed Image Text:Find the absolute maxima and minima of the function on the given domain. f(x, v) = x² + xy + y² on the square -6 sx y s6 O A. Absolute maximum: 108 at (6, 6) and (-6, -6); absolute minimum: 36 at (6, -6) and (-6, 6) O B. Absolute maximum: 108 at (6, 6) and (-6, -6): absolute minimum: 0 at (0, 0) OC Absolute maximum: 36 at (6, -6) and (-6, 6); absolute minimum: 0 at (0, 0) O D. Absolute maximum: 36 at (6, -6) and (-6, 6); absolute minimum: 27 at (-3, 6). (3, -6). (6, - 3) and (-6, 3)
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