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3. While using the method of Lagrange multipli- ers to find the extreme values of the function 2 f (x , y) which of

3. While using the method of Lagrange multipli- ers to find the extreme values of the function 2 f (x , y) which of the following statements can be concluded = 2 x 3 y on the curve x + y = 13 ; - to be true? I) f has a minimum value at (-2, -3) on this curve. II) f has a maximum value at (2, 3) on this curve. III) f has o extreme values on this curve. IV) The minimum value of f is - 13 on this curve. (a) I, II . (b) I, II , IV. (c) Only IV. (d) Only III . (e) Only II .

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