Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.)r(t) = e²t cos(2t)i + 4j + e2t sin(2t) k

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.)
r(t) = e²t cos(2t)i + 4j + e2t sin(2t) k

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The identity of (a-b)^2+(a+b)^2 = 2(a^2+b^2) helped clean things up a lot. However, "ln" has to be used with "e" rather than "log." The answer was not accepted by the homework system with "log," and it does give a different value when computed. Perhaps it was thought that "e" was a variable here instead of Euller's number. Could you please make this correction to the answer for other students who may look at it? Thank you.

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