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Use Lagrange Multipliers to Find the Extreme Values of F(x

Question 56

Multiple Choice

Use Lagrange multipliers to find the extreme values of f(x, y) = x2 + 3y2 + 2y on the unit circle x2 + y2 = 1.


A) maximum 6, minimum - Use Lagrange multipliers to find the extreme values of f(x, y)  = x<sup>2</sup> + 3y<sup>2</sup> + 2y on the unit circle x<sup>2</sup> + y<sup>2</sup> = 1. A)  maximum 6, minimum -   B)  maximum 5, minimum -   C)  maximum 6, minimum 0 D)  maximum 5, minimum   E)  maximum 5, minimum 1
B) maximum 5, minimum - Use Lagrange multipliers to find the extreme values of f(x, y)  = x<sup>2</sup> + 3y<sup>2</sup> + 2y on the unit circle x<sup>2</sup> + y<sup>2</sup> = 1. A)  maximum 6, minimum -   B)  maximum 5, minimum -   C)  maximum 6, minimum 0 D)  maximum 5, minimum   E)  maximum 5, minimum 1
C) maximum 6, minimum 0
D) maximum 5, minimum Use Lagrange multipliers to find the extreme values of f(x, y)  = x<sup>2</sup> + 3y<sup>2</sup> + 2y on the unit circle x<sup>2</sup> + y<sup>2</sup> = 1. A)  maximum 6, minimum -   B)  maximum 5, minimum -   C)  maximum 6, minimum 0 D)  maximum 5, minimum   E)  maximum 5, minimum 1
E) maximum 5, minimum 1

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