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Find the Maximum and the Minimum Values of the Function f(x,y)=x+3yf ( x , y ) = x + 3 y

Question 87

Essay

Find the maximum and the minimum values of the function f(x,y)=x+3yf ( x , y ) = x + 3 y subject to 2x2+y2=362 x ^ { 2 } + y ^ { 2 } = 36

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