Find the maximum of f(x, y) = 2x + 2y – x²-} - xy on the square, 0 s xs a,0sysa, a = 3. Edge a0 - Bdge aa (a) First, locate the critical point of f in the square and evaluate f at this point. (Use symbolic notation and fractions where needed.) f = (b) On the bottom edge, y = 0 and f(x, 0) = 2x – x². Find the maximum value of f on the bottom edge. (Use symbolic notation and fractions where needed.) (c) Find the maximum values of f on the remaining edges. (Use symbolic notation and fractions where needed.) fielt = fop = frigh =

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 maximum of
f(x, y) = 2x + 2y – x² - y? – xy
on the square, Osxs a, 0< y < a, a = 3.
Bdge ya
Edge x =0
Edge a
Bdge y=0
(a) First, locate the critical point of f in the square and evaluate f at this point.
(Use symbolic notation and fractions where needed.)
f =
(b) On the bottom edge, y = 0 and f(x, 0) = 2x – x?. Find the maximum value of f on the bottom edge.
(Use symbolic notation and fractions where needed.)
fbollom =
(c) Find the maximum values of f on the remaining edges.
(Use symbolic notation and fractions where needed.)
fielt =
fop
fright
Transcribed Image Text:Find the maximum of f(x, y) = 2x + 2y – x² - y? – xy on the square, Osxs a, 0< y < a, a = 3. Bdge ya Edge x =0 Edge a Bdge y=0 (a) First, locate the critical point of f in the square and evaluate f at this point. (Use symbolic notation and fractions where needed.) f = (b) On the bottom edge, y = 0 and f(x, 0) = 2x – x?. Find the maximum value of f on the bottom edge. (Use symbolic notation and fractions where needed.) fbollom = (c) Find the maximum values of f on the remaining edges. (Use symbolic notation and fractions where needed.) fielt = fop fright
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