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

Question 28

Multiple Choice

Find the maximum and minimum values of f(x, y) = x2 + 3y2 + 2y on the disk x2 + y2 \le 1. Use Lagrange multipliers to handle the boundary analysis.


A) maximum 6, minimum -  Find the maximum and minimum values of f(x, y)  = x<sup>2</sup> + 3y<sup>2</sup> + 2y on the disk x<sup>2</sup> + y<sup>2</sup>  \le  1. Use Lagrange multipliers to handle the boundary analysis. A)  maximum 6, minimum -   B)  maximum 5, minimum -   C)  maximum 6, minimum 0 D)  maximum 5, minimum   E)  maximum 5, minimum
B) maximum 5, minimum -  Find the maximum and minimum values of f(x, y)  = x<sup>2</sup> + 3y<sup>2</sup> + 2y on the disk x<sup>2</sup> + y<sup>2</sup>  \le  1. Use Lagrange multipliers to handle the boundary analysis. A)  maximum 6, minimum -   B)  maximum 5, minimum -   C)  maximum 6, minimum 0 D)  maximum 5, minimum   E)  maximum 5, minimum
C) maximum 6, minimum 0
D) maximum 5, minimum  Find the maximum and minimum values of f(x, y)  = x<sup>2</sup> + 3y<sup>2</sup> + 2y on the disk x<sup>2</sup> + y<sup>2</sup>  \le  1. Use Lagrange multipliers to handle the boundary analysis. A)  maximum 6, minimum -   B)  maximum 5, minimum -   C)  maximum 6, minimum 0 D)  maximum 5, minimum   E)  maximum 5, minimum
E) maximum 5, minimum  Find the maximum and minimum values of f(x, y)  = x<sup>2</sup> + 3y<sup>2</sup> + 2y on the disk x<sup>2</sup> + y<sup>2</sup>  \le  1. Use Lagrange multipliers to handle the boundary analysis. A)  maximum 6, minimum -   B)  maximum 5, minimum -   C)  maximum 6, minimum 0 D)  maximum 5, minimum   E)  maximum 5, minimum

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