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Find the curvature of the curve 7(t) = (4cos(4t), 4 sin(4t), 5t) at the point t = 0 Give your answer to two decimal places

Find the curvature of the curve 7(t) = (4cos(4t), 4 sin(4t), 5t) at the point t = 0 Give your answer to two decimal places

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the curvature of the curve 7(t) = (4cos(4t), 4 sin(4t), 5t) at the point t = 0 Give your answer to two decimal places
Transcribed Image Text:Find the curvature of the curve 7(t) = (4cos(4t), 4 sin(4t), 5t) at the point t = 0 Give your answer to two decimal places
For the curve defined by 7(t) = 5 cos(t)i + 5 sin(t)j + 3tk evaluate - F"(2)||du ||F"(u)||du S = to find the arc length function. 8 = Solve the arc length function for t: t Parametrize 7 (t) by arc length by substituting in the solved arc length function. 7(s)
Transcribed Image Text:For the curve defined by 7(t) = 5 cos(t)i + 5 sin(t)j + 3tk evaluate - F"(2)||du ||F"(u)||du S = to find the arc length function. 8 = Solve the arc length function for t: t Parametrize 7 (t) by arc length by substituting in the solved arc length function. 7(s)
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