Find the maximum and minimum values of f (x, y,z) = x + y z on the sphere x 2 + y2 + z2
Chapter 4, Problem 22(choose chapter or problem)
Find the maximum and minimum values of f (x, y,z) = x + y z on the sphere x 2 + y2 + z2 = 81. Explain how you know that there must be both a maximum and a minimum attained.
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