Provide an appropriate response.Find the extrema of f(x, y, z) = x + yz on the line defined by x = 3(8 + t), y = t - 3, and z = t + 8. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)

A. (36, 1, 12), minimum
B. (12, -7, 4), minimum; (36, 1, 12), maximum
C. (12, -7, 4), minimum
D. (36, 1, 12), minimum; (0, -3, 0), minimum


Answer: C

Mathematics

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