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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc47b6f3d-9a89-4871-99eb-be9d1be872f5%2F5b2f12e0-7510-4f4c-8112-301879e1e59f%2Fhu6wvoh_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc47b6f3d-9a89-4871-99eb-be9d1be872f5%2F5b2f12e0-7510-4f4c-8112-301879e1e59f%2Ffqsbpr5_processed.jpeg&w=3840&q=75)
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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