Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. A r(t) = (cos³t)j + (sin ³t)k, 0≤t≤- Find the curve's unit tangent vector. T(t) = t) =j+k Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = 6t³i-2t³j+3t³k 1sts2 The curve's unit tangent vector is (i+ +Dj+k (Type an integer or a simplified fraction.) ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 69E
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Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.
π
r(t) = (cos ³t)j + (sin ³t) k, Osts -2
Find the curve's unit tangent vector.
T(t)= +
Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.
r(t) = 6t³i - 2t³j+3t³k 1sts2
The curve's unit tangent vector is (i+j+k.
(Type an integer or a simplified fraction.)
Transcribed Image Text:Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. π r(t) = (cos ³t)j + (sin ³t) k, Osts -2 Find the curve's unit tangent vector. T(t)= + Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = 6t³i - 2t³j+3t³k 1sts2 The curve's unit tangent vector is (i+j+k. (Type an integer or a simplified fraction.)
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