Answered: (a) Use the method of Lagrange… | bartleby

Algebra & Trigonometry with Analytic Geometry

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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Question

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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