Find the length of the parabola given by c(t) = (t, t 2 ) for 0

Question:

Find the length of the parabola given by c(t) = (t, t²) for 0 ≤ t ≤ 1. See the hint for Exercise 12.

Data From Exercise 12

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 = 2/1 V + 1 + 12 ln(t + V1 + f) -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 parabola given by c(t) = (t, t 2 ) for 0

Question:

S √₁ + 1² dt = 2/1 V₁ + 1² + 1⁄2 ln(t + V1 + f²) -10 5 -10 y t=0 t = 2π 17. 10 X

Step by Step Answer:

Since x t tanht and y secht we have x 1 secht and y secht tanht Hence ...View the full answer

Calculus

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