Suppose That You Want to Find the Maximum and Minimum $f ( x , y ) = x ^ { 2 } + y ^ { 2 }$

question 9

Essay

Suppose that you want to find the maximum and minimum values of $f ( x , y ) = x ^ { 2 } + y ^ { 2 }$ subject to the constraint x + 4y = 3.
Use the method of Lagrange multipliers to find the exact location(s)of any extrema.

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