(i) = 5. If r(t) = tcostī + tsintī+3tk, Answer each of the following: Find an equation of the tangent line to the curve ŕ(t) at t Find the velocity, speed and acceleration of a particle moving along (t). Find the angle between the tangent vector and position vector at t = π 2 (ii) (iii) 2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 5E
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5. If r(t) = tcostī + tsintī+3tk, Answer each of the following:
Find an equation of the tangent line to the curve (t) at t = 2
TL
(i)
(ii)
(iii)
Find the velocity, speed and acceleration of a particle moving along (t).
플
Find the angle between the tangent vector and position vector at t =
Transcribed Image Text:5. If r(t) = tcostī + tsintī+3tk, Answer each of the following: Find an equation of the tangent line to the curve (t) at t = 2 TL (i) (ii) (iii) Find the velocity, speed and acceleration of a particle moving along (t). 플 Find the angle between the tangent vector and position vector at t =
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