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Use Lagrange Multipliers to Solve the Problem f(x,y)=3xyf ( x , y ) = 3 x y

Question 104

Multiple Choice

Use Lagrange Multipliers to solve the problem.
Find the maximum value of f(x,y) =3xyf ( x , y ) = 3 x y subject to x2+y2=8x ^ { 2 } + y ^ { 2 } = 8 .


A) fmax⁡=24f _ { \max } = 24
B) fmax⁡=12f _ { \max } = 12
C) fmax⁡=17f _ { \max } = 17
D) fmax⁡=7f _ { \max } = 7
E) fmax⁡=32f _ { \max } = 32

Correct Answer:

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