(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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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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