For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t . A) Let r(t)= (cos4t, sin4t) Then T(pi/4)=(_,_) B) Let r(t)= (t2,t3). Then T(3)=(_,_) C) Let r(t)= e4ti + e-3tj + tk Then T(-1)= _i + _j + _k
For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t . A) Let r(t)= (cos4t, sin4t) Then T(pi/4)=(_,_) B) Let r(t)= (t2,t3). Then T(3)=(_,_) C) Let r(t)= e4ti + e-3tj + tk Then T(-1)= _i + _j + _k
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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For the given position
A) Let r(t)= (cos4t, sin4t)
Then T(pi/4)=(_,_)
B) Let r(t)= (t2,t3).
Then T(3)=(_,_)
C) Let r(t)= e4ti + e-3tj + tk
Then T(-1)= _i + _j + _k
If you are only allowed to solve 2 of the 3 I would appreciate B and C being answered. Thank you.
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