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Use Lagrange Multipliers to Find the Maximum and Minimum Values

Question 59

Multiple Choice

Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y) = x2y + z subject to the constraints x2 + y2 = 1 and z = y.


A) ± Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y)  = x<sup>2y</sup> + z subject to the constraints x<sup>2</sup> + y<sup>2</sup> = 1 and z = y. A)  ±   B)  ±   C)  ±   D)  ±   E)  ±
B) ± Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y)  = x<sup>2y</sup> + z subject to the constraints x<sup>2</sup> + y<sup>2</sup> = 1 and z = y. A)  ±   B)  ±   C)  ±   D)  ±   E)  ±
C) ± Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y)  = x<sup>2y</sup> + z subject to the constraints x<sup>2</sup> + y<sup>2</sup> = 1 and z = y. A)  ±   B)  ±   C)  ±   D)  ±   E)  ±
D) ± Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y)  = x<sup>2y</sup> + z subject to the constraints x<sup>2</sup> + y<sup>2</sup> = 1 and z = y. A)  ±   B)  ±   C)  ±   D)  ±   E)  ±
E) ± Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y)  = x<sup>2y</sup> + z subject to the constraints x<sup>2</sup> + y<sup>2</sup> = 1 and z = y. A)  ±   B)  ±   C)  ±   D)  ±   E)  ±

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