Find the length of the spiral c(t) (t cos t, t sin t) for 0 t 2 to three decimal places (Figure 7) S 1 dt 2 1 V 1 2 ln(t V1 t) 10 5 10 y t 0 t 2 17 10 X...

We use the formula for the arc length Thus Differentiating x t cost and y t sint yields d t cost c ...

Find the length of the spiral c(t) = (t cos t, t sin t) for 0

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Find the length of the spiral c(t) = (t cos t, t sin t) for 0 ≤ t ≤ 2π to three decimal places (Figure 7).

S + 1 dt = t + 1 + 2 ln(t + V1 + t) -10 5 -10 y t=0 t = 2 17. 10 X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 21, 2023 06:15 AM

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Find the length of the spiral c(t) = (t cos t, t sin t) for 0

Question:

S √₁ + 1² dt = 2/1 V₁ + 1² + ⁄2 ln(t + V1 +t²) -10 5 -10 y t=0 t = 2π 17. 10 X

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We use the formula for the arc length Thus Differentiating x t cost and y t sint yields d t cost c...View the full answer

Calculus

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