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 , minimum -6
C) maximum 6 , minimum -6
D) maximum 12, minimum -12
E) maximum 12 , minimum -12
Correct Answer:
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