Let r(1) = <21, ²', cos(rt)> be a vector function. a. Find the tangent vector r'(1) when t = 2. b. Find the parametric equation of the tangent line to the curve at the point where t 2. c. Find the arc-length of the curve over the interval 0 <1<2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Let r(1) =<21, ², cos(t)> be a vector function.
a. Find the tangent vector r'(/) when t = 2.
b. Find the parametric equation of the tangent line to the curve at the point where t= 2.
c. Find the arc-length of the curve over the interval 0<1S 2.
Transcribed Image Text:Let r(1) =<21, ², cos(t)> be a vector function. a. Find the tangent vector r'(/) when t = 2. b. Find the parametric equation of the tangent line to the curve at the point where t= 2. c. Find the arc-length of the curve over the interval 0<1S 2.
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