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Find the absolute maximum and minimum values of the following function on the given region R. f(x,y) = 2x2 -4x + 7y2 +3; R= ((x,y):(x-1)2

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Find the absolute maximum and minimum values of the following function on the given region R. f(x,y) = 2x2 -4x + 7y2 +3; R= ((x,y):(x-1)2 + y251) Find both partial derivatives of f(x,y)- fx(x,y) = 4x - 4 and fy(x,y) = 14y Determine the absolute maximum value of f on R. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The absolute maximum value of fon R is 8. (Simplify your answer.) O B. There is no absolute maximum value. Determine the absolute minimum value of f on R. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The absolute minimum value of fon R is 1 . (Simplify your answer.) O B. There is no absolute minimum value

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