Provide an appropriate response.Find the value(s) of t corresponding to the extrema of f(x, y, z) = sin(x2 + y2)cos(z) subject to the constraints x2 + y2 = 3t,  and z = . Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)

A. t = , minimum; t = 0, maximum
B. t = , minimum; t = - , maximum
C. t = - , maximum
D. t = , minimum


Answer: D

Mathematics

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