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Find the Maximum and Minimum Values of the Function F(x

Question 42

Multiple Choice

Find the maximum and minimum values of the function f(x, y, z) = 3x2 + 3y2 + 5 Find the maximum and minimum values of the function f(x, y, z) = 3x<sup>2</sup> + 3y<sup>2</sup> + 5 + 2xy - 2xz - 2yz over the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 6. A) maximum value 18, minimum value 12 B) maximum value 36, minimum value 12 C) maximum value 20, minimum value 18 D) maximum value 36, minimum value 18 E) maximum value 24, minimum value 16 + 2xy - 2xz - 2yz over the sphere x2 + y2 + z2 = 6.


A) maximum value 18, minimum value 12
B) maximum value 36, minimum value 12
C) maximum value 20, minimum value 18
D) maximum value 36, minimum value 18
E) maximum value 24, minimum value 16

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