Let (x, y) = xy 2 and r(t) = (1/2t 2 , t 3 ). (a) Calculate

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Let ƒ(x, y) = xy² and r(t) = (1/2t², t³).

(a) Calculate Vf and r' (t). d (b) Use the Chain Rule for Paths to evaluate(r(t)) at t = 1 and t = -1.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 08:02 AM

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Let (x, y) = xy 2 and r(t) = (1/2t 2 , t 3 ). (a) Calculate

Question:

(a) Calculate Vf and r' (t). d (b) Use the Chain Rule for Paths to evaluate f(r(t)) at t = 1 and t = - 1.

Step by Step Answer:

a We compute the partial derivatives of f x y xy af x The gradient vector is t...View the full answer

Calculus

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