Suppose that the temperature at the point (x y z) in space is T(x y z) x 2 y 2 z 2 Let a particle follow the right circular helix (t) (cos t sin t t) and let T(t) be its temperature at time t (a) What is T '(t) (b) Find an approximate value for the temperature at t ( 2) 0 01 ...

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Suppose that the temperature at the point (x; y; z) in space is T(x; y; z) =

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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)?

(b) Find an approximate value for the temperature at t = (π=2) + 0:01.

Related Book For answer-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Posted Date: Jan 14, 2021 02:27 AM

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Suppose that the temperature at the point (x; y; z) in space is T(x; y; z) =

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