Find extremum of value of f(x, y) = 3xy subject to 2x + 3y = 24 minimum of 48 at (6,6) minimum of 54 at (8,3) maximum of 54 at (4,6) maximum of 72 at (6,4) Question 23 (4 points) Find extremum of f(x, y) = x² + 2y²+4xy - 6y. maximum of 45 at (3,3/2) 14 4 % 205 6 9> & 27 ( 7 8 9 0 C

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 1YT
Question
Find extremum of value of f(x, y) = 3xy subject to 2x + 3y = 24
minimum of 48 at (6,6)
minimum of 54 at (8,3)
maximum of 54 at (4,6)
maximum of 72 at (6,4)
Question 23 (4 points)
Find extremum of f(x, y) = x² + 2y²+4xy - 6y.
maximum of 45 at (3,3/2)
14
4
%
205
6
9>
&
27
(
7
8
9
0
C
Transcribed Image Text:Find extremum of value of f(x, y) = 3xy subject to 2x + 3y = 24 minimum of 48 at (6,6) minimum of 54 at (8,3) maximum of 54 at (4,6) maximum of 72 at (6,4) Question 23 (4 points) Find extremum of f(x, y) = x² + 2y²+4xy - 6y. maximum of 45 at (3,3/2) 14 4 % 205 6 9> & 27 ( 7 8 9 0 C
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