(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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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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