Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (2t sint+2 cost)i + (2t cost-2 sin t)j √2 st≤2

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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+(²+1) j. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and
The position of a particle in the xy-plane at time t is r(t) = (t-2) i+
acceleration vectors at t= 1.
Transcribed Image Text:+(²+1) j. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and The position of a particle in the xy-plane at time t is r(t) = (t-2) i+ acceleration vectors at t= 1.
Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.
r(t) = (2t sint+2 cos t)i + (2t cost-2 sint)j √2 st≤2
Transcribed Image Text:Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (2t sint+2 cos t)i + (2t cost-2 sint)j √2 st≤2
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