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at a A- Find the point on the curve r(t) = (5 sin t)i + (5 cos t)j + 12tk distance 26 units along the curve from the point (0,5,0) in the direction of increasing arc length. B- Find the curvature for the following vector functions. r(t) = < 4t, -t², 2t³ >

at a A- Find the point on the curve r(t) = (5 sin t)i + (5 cos t)j + 12tk distance 26 units along the curve from the point (0,5,0) in the direction of increasing arc length. B- Find the curvature for the following vector functions. r(t) = < 4t, -t², 2t³ >

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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A- Find the point on the curve r(t) = (5 sin t)i + (5 cos t)j + 12tk at a distance 26 units along the curve from the point (0,5,0) in the direction of increasing arc length. B- Find the curvature for the following vector functions. r(t) = < 4t, -t², 2t³ >
Transcribed Image Text:A- Find the point on the curve r(t) = (5 sin t)i + (5 cos t)j + 12tk at a distance 26 units along the curve from the point (0,5,0) in the direction of increasing arc length. B- Find the curvature for the following vector functions. r(t) = < 4t, -t², 2t³ >
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