Express the arc length s of y x 3 for 0 x 8 as an integral in two ways, using the parametrizations r 1 (t) (t, t 3 ) and r 2 (t) (t 3 , t 9 ) Do not evaluate the integrals, but use substitution to show that they yield the same result ...

For rt 1t we have rt 1 31 hence r t 1 914 For rt 11 we ...

Express the arc length s of y = x 3 for 0 x 8 as

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Express the arc length s of y = x³for 0 ≤ x ≤ 8 as an integral in two ways, using the parametrizations r₁(t) =(t, t³) and r₂(t) = (t³, t⁹). Do not evaluate the integrals, but use substitution to show that they yield the same result.

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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 08:00 AM

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Express the arc length s of y = x 3 for 0 x 8 as

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For rt 1t we have rt 1 31 hence r t 1 914 For rt 11 we ...View the full answer

Calculus

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