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Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 元 r(t) = (7 cos³t)j + (7 sin ³t)k, 0st≤3

Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 元 r(t) = (7 cos³t)j + (7 sin ³t)k, 0st≤3

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 curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (7 cos ³t)j + (7 sin³t)k, 0≤t≤3 Find the curve's unit tangent vector. T(t) = cos tj + sin tk The length of the curve is (Type an exact answer, using as needed.) D 10/12/2022 16:46
Transcribed Image Text:Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (7 cos ³t)j + (7 sin³t)k, 0≤t≤3 Find the curve's unit tangent vector. T(t) = cos tj + sin tk The length of the curve is (Type an exact answer, using as needed.) D 10/12/2022 16:46
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