Science:Math Exam Resources/Courses/MATH105/April 2013/Question 05 (b)

MATH105 April 2013
Other MATH105 Exams

Question 05 (b)

Use the method of Lagrange multipliers to find the maximum and minimum values of

${\displaystyle \displaystyle f(x,y)=6y-y^{3}-3x^{2}y}$

on the circle

${\displaystyle \displaystyle x^{2}+y^{2}=4}$

A solution that does not use the method of Lagrange multipliers will receive no credit, even if the answer is correct.

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