(b) The position of a particle is described by (i) Find r(t) = 3 cos (2t)i +3 sin (2t)j +tk. lim r(t). 1-0 3% of paper. (ii) Find the unit tangent vector of r(t) when t = 0. (iii) Find 4% of paper. [*r(tdt. 5% of paper. (iv) Find the length of the path of r(t) from the point (3,0,0) to (3,0,3T). 4% of paper.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(b) The position of a particle is described by
(i) Find
r(t) = 3 cos (2t)i +3 sin (2t)j +tk.
lim r(t).
1-0
3% of paper.
(ii) Find the unit tangent vector of r(t) when t = 0.
(iii) Find
4% of paper.
[*r(t)dt.
5% of paper.
(iv) Find the length of the path of r(t) from the point (3,0,0) to
(3,0,3T).
4% of paper.
Transcribed Image Text:(b) The position of a particle is described by (i) Find r(t) = 3 cos (2t)i +3 sin (2t)j +tk. lim r(t). 1-0 3% of paper. (ii) Find the unit tangent vector of r(t) when t = 0. (iii) Find 4% of paper. [*r(t)dt. 5% of paper. (iv) Find the length of the path of r(t) from the point (3,0,0) to (3,0,3T). 4% of paper.
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