9. (a) Use the method of Lagrange multipliers to determine the minimum and maximu values of f(x, y) = x² + 3y² - 16y +5 on the circle x² + y² = 25. (b) Evaluate JS 18x²y² dx dy where D is the bounded region enclosed between the curves y = 2/x², y = 3/x², y = x and y = 2x. dy (c) Solve the differential equation x² e-v/x - y² + xy- = =0 with y(1) = 0. dx
9. (a) Use the method of Lagrange multipliers to determine the minimum and maximu values of f(x, y) = x² + 3y² - 16y +5 on the circle x² + y² = 25. (b) Evaluate JS 18x²y² dx dy where D is the bounded region enclosed between the curves y = 2/x², y = 3/x², y = x and y = 2x. dy (c) Solve the differential equation x² e-v/x - y² + xy- = =0 with y(1) = 0. dx
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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![9. (a) Use the method of Lagrange multipliers to determine the minimum and maximum
values of f(x, y) = x² + 3y² - 16y +5 on the circle x² + y² = 25.
(b) Evaluate
18x²y² dx dy where D is the bounded region enclosed between the
curves y = 2/x², y = 3/x², y = x and y = 2x.
D
dy
(c) Solve the differential equation x² e-v/x - y² + xy
= 0 with y(1) = 0.
dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d338bcb-c9bc-4191-b003-d463be16fdee%2Fa4ef3604-77a7-44a3-bc7e-a3cfd4934b82%2Fge3xkea_processed.png&w=3840&q=75)
Transcribed Image Text:9. (a) Use the method of Lagrange multipliers to determine the minimum and maximum
values of f(x, y) = x² + 3y² - 16y +5 on the circle x² + y² = 25.
(b) Evaluate
18x²y² dx dy where D is the bounded region enclosed between the
curves y = 2/x², y = 3/x², y = x and y = 2x.
D
dy
(c) Solve the differential equation x² e-v/x - y² + xy
= 0 with y(1) = 0.
dx
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