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Use Lagrange Multipliers to Find the Maximum and Minimum Values

Question 22

Multiple Choice

Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y, z) = xy2z3 on the sphere x2 + y2 + z2 = 6.


A) maximum 6, minimum -6
B) maximum 6 Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y, z) = xy<sup>2</sup>z<sup>3</sup> on the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 6. A) maximum 6, minimum -6 B) maximum 6 , minimum -6 C) maximum 6 , minimum -6 D) maximum 12, minimum -12 E) maximum 12 , minimum -12 , minimum -6 Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y, z) = xy<sup>2</sup>z<sup>3</sup> on the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 6. A) maximum 6, minimum -6 B) maximum 6 , minimum -6 C) maximum 6 , minimum -6 D) maximum 12, minimum -12 E) maximum 12 , minimum -12
C) maximum 6 Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y, z) = xy<sup>2</sup>z<sup>3</sup> on the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 6. A) maximum 6, minimum -6 B) maximum 6 , minimum -6 C) maximum 6 , minimum -6 D) maximum 12, minimum -12 E) maximum 12 , minimum -12 , minimum -6 Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y, z) = xy<sup>2</sup>z<sup>3</sup> on the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 6. A) maximum 6, minimum -6 B) maximum 6 , minimum -6 C) maximum 6 , minimum -6 D) maximum 12, minimum -12 E) maximum 12 , minimum -12
D) maximum 12, minimum -12
E) maximum 12 Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y, z) = xy<sup>2</sup>z<sup>3</sup> on the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 6. A) maximum 6, minimum -6 B) maximum 6 , minimum -6 C) maximum 6 , minimum -6 D) maximum 12, minimum -12 E) maximum 12 , minimum -12 , minimum -12 Use Lagrange multipliers to find the maximum and minimum values of the functionf(x, y, z) = xy<sup>2</sup>z<sup>3</sup> on the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 6. A) maximum 6, minimum -6 B) maximum 6 , minimum -6 C) maximum 6 , minimum -6 D) maximum 12, minimum -12 E) maximum 12 , minimum -12

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