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Show that the function f(x,y) = 8x²y subject to 3x - y = 9 does not have an absolute minimum or maximum. (Hint: Solve the constraint for y and substitute into f.) Solve the constraint for y. y=0 Substitute into f. f(x,y) = Determine the behavior of f as x approaches -∞0. d-a Эх dent lim f(x,y) = 8118 Determine the behavior of f as x approaches co. lim f(x,y) = 818 Does this show that f does not have an absolute maximum or minimum? culus O Yes funct O No f(x.y)= (....

Show that the function f(x,y) = 8x²y subject to 3x - y = 9 does not have an absolute minimum or maximum. (Hint: Solve the constraint for y and substitute into f.) Solve the constraint for y. y=0 Substitute into f. f(x,y) = Determine the behavior of f as x approaches -∞0. d-a Эх dent lim f(x,y) = 8118 Determine the behavior of f as x approaches co. lim f(x,y) = 818 Does this show that f does not have an absolute maximum or minimum? culus O Yes funct O No f(x.y)= (....

Calculus: Early Transcendentals
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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Show that the function f(x,y) = 8x²y subject to 3x-y=9 does not have an absolute minimum or maximum. (Hint: Solve the constraint for y and substitute into f.) Solve the constraint for y. el y = Substitute into f. f(x,y)= Determine the behavior of f as x approaches - ∞. lim f(x,y) = 8118 nd-a Determine the behavior of f as x approaches co. (9x lim f(x,y)= X-8 udent lculus ( funct f(x.y)= Does this show that f does not have an absolute maximum or minimum? O Yes O No urses lec d the Ge x- x0) + fy at the point H а (...) Next Show deski 4:08 AM 7/15/2022
Transcribed Image Text:Show that the function f(x,y) = 8x²y subject to 3x-y=9 does not have an absolute minimum or maximum. (Hint: Solve the constraint for y and substitute into f.) Solve the constraint for y. el y = Substitute into f. f(x,y)= Determine the behavior of f as x approaches - ∞. lim f(x,y) = 8118 nd-a Determine the behavior of f as x approaches co. (9x lim f(x,y)= X-8 udent lculus ( funct f(x.y)= Does this show that f does not have an absolute maximum or minimum? O Yes O No urses lec d the Ge x- x0) + fy at the point H а (...) Next Show deski 4:08 AM 7/15/2022
Show that the function f(x,y) = 8x²y subject to 3x - y = 9 does not have an absolute minimum or maximum. (Hint: Solve the constraint for y and substitute into f.) el 2. Solve the constraint for y. y=0 Substitute into f. f(x,y) = Determine the behavior of f as x approaches - ∞. lim f(x,y) = and-a 9x tudent 8118 Determine the behavior of f as x approaches co. lim f(x,y) = X-8 lculus ( = funct n f(x.y)= Does this show that f does not have an absolute maximum or minimum? O Yes No urses lec d the Ge x-x0) + fy at the point C... Next Show c 4:08 AM 7/15/2022
Transcribed Image Text:Show that the function f(x,y) = 8x²y subject to 3x - y = 9 does not have an absolute minimum or maximum. (Hint: Solve the constraint for y and substitute into f.) el 2. Solve the constraint for y. y=0 Substitute into f. f(x,y) = Determine the behavior of f as x approaches - ∞. lim f(x,y) = and-a 9x tudent 8118 Determine the behavior of f as x approaches co. lim f(x,y) = X-8 lculus ( = funct n f(x.y)= Does this show that f does not have an absolute maximum or minimum? O Yes No urses lec d the Ge x-x0) + fy at the point C... Next Show c 4:08 AM 7/15/2022
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