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Mathematics, 13.02.2020 18:38 4804174946

Suppose that the temperature at the point (x, y, z) in space is T(x, y, z) = x2 + y2 + z2. Let a particle follow the right-circular helix σ(t) = (cos(t), sin(t), t) and let T(t) be its temperature at time t. (a) What is T '(t)? T '(t) = Correct: Your answer is correct. (b) Find an approximate value for the temperature at t = π 2 + 0.01.

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