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1) A point moves along a circle with position vector given by r(t) =< cos (t)², sin(t)² > a) Write a (t) as a combination of r(t) and (t), for t = 0. b) Find the unit tangent vector (t) for t = 0. c) Find the unit normal vector Ñ(t) for t = 0.

1) A point moves along a circle with position vector given by r(t) =< cos (t)², sin(t)² > a) Write a (t) as a combination of r(t) and (t), for t = 0. b) Find the unit tangent vector (t) for t = 0. c) Find the unit normal vector Ñ(t) for t = 0.

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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1) A point moves along a circle with position vector given by r(t) =< cos(t)², sin(t)² > a) Write a (t) as a combination of r(t) and (t), for t = 0. b) Find the unit tangent vector 7(t) for t = 0. c) Find the unit normal vector Ñ(t) for t = 0. d) Find the tangential and normal components of the acceleration vector à (t).
Transcribed Image Text:1) A point moves along a circle with position vector given by r(t) =< cos(t)², sin(t)² > a) Write a (t) as a combination of r(t) and (t), for t = 0. b) Find the unit tangent vector 7(t) for t = 0. c) Find the unit normal vector Ñ(t) for t = 0. d) Find the tangential and normal components of the acceleration vector à (t).
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