Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Exponential Growth Model
The relation that represents an exponential function is:
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Evaluate s(t) = S ||r' (u)||du for the Bernoulli spiral r (t) = (e' . cos (3t), e' sin (3t)). ∞ as the lower limit since s(-∞) = 0. Then use s to obtain an arc length parametrization of r(t). It is convenient to take r1(s) = {
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Transcribed Image Text:Evaluate s(t) = S ||r' (u)||du for the Bernoulli spiral r (t) = (e' . cos (3t), e' sin (3t)). ∞ as the lower limit since s(-∞) = 0. Then use s to obtain an arc length parametrization of r(t). It is convenient to take r1(s) = {
Find the speed: r(t) = (sinh(t), sinh(t), – 5t) at t = 1. v(1) =
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Transcribed Image Text:Find the speed: r(t) = (sinh(t), sinh(t), – 5t) at t = 1. v(1) =
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