Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (7 cos ) j+ (7 sin t) k, Osts Find the curve's unit tangent vector. T(t) = - cos (t) j+ sin (t) k The length of the curve is (Type an exact answer, using t as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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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 ) j+ (7 sin t) k, Osts
Find the curve's unit tangent vector.
T(t) = - cos (t) j+ sin (t) k
The length of the curve is
(Type an exact answer, using t as needed.)
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 ) j+ (7 sin t) k, Osts Find the curve's unit tangent vector. T(t) = - cos (t) j+ sin (t) k The length of the curve is (Type an exact answer, using t as needed.)
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