Answered: Question 1 ] a. [ Use the method of… | bartleby

Algebra for College Students

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.

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Question 1
]
a. [Use the method of Lagrange
multipliers to find the extreme value(s) of
f(x, y) = xy subject to the constraint
x² + 2y² = 1
b. [
For each of the extreme value(s)
found in part (a) check if it is a maximum or a
minimum. justify your response by calculations.
c. [
Compute the integral / ydydx,
where 0 ≤ x ≤, and 0 ≤ y ≤ sin x

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