Solved

Find the Maximum and Minimum Values of F(x , Y)

Question 6

Multiple Choice

Find the maximum and minimum values of f(x , y) = x2 + xy + 2y2 subject to the constraint x2 + 3y2 = 3.


A) minimum 0 , maximum 3
B) minimum 2 , maximum 3
C) minimum Find the maximum and minimum values of f(x , y) = x<sup>2</sup> + xy + 2y<sup>2</sup> subject to the constraint x<sup>2</sup> + 3y<sup>2</sup> = 3. A) minimum 0 , maximum 3 B) minimum 2 , maximum 3 C) minimum , maximum D) minimum 3 , maximum E) minimum , maximum 2 , maximum Find the maximum and minimum values of f(x , y) = x<sup>2</sup> + xy + 2y<sup>2</sup> subject to the constraint x<sup>2</sup> + 3y<sup>2</sup> = 3. A) minimum 0 , maximum 3 B) minimum 2 , maximum 3 C) minimum , maximum D) minimum 3 , maximum E) minimum , maximum 2
D) minimum 3 , maximum Find the maximum and minimum values of f(x , y) = x<sup>2</sup> + xy + 2y<sup>2</sup> subject to the constraint x<sup>2</sup> + 3y<sup>2</sup> = 3. A) minimum 0 , maximum 3 B) minimum 2 , maximum 3 C) minimum , maximum D) minimum 3 , maximum E) minimum , maximum 2
E) minimum Find the maximum and minimum values of f(x , y) = x<sup>2</sup> + xy + 2y<sup>2</sup> subject to the constraint x<sup>2</sup> + 3y<sup>2</sup> = 3. A) minimum 0 , maximum 3 B) minimum 2 , maximum 3 C) minimum , maximum D) minimum 3 , maximum E) minimum , maximum 2 , maximum 2

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