1. The figure shows a curve C given by a vector function r(t). (a) Draw the vectors r(4.5) - r(4) and r(4.2) - r(4). (b) Draw the vectors r(4.5) - r(4) 0.5 bas and (c) Write expressions for r'(4) and the unit tangent vector T(4). (d) Draw the vector T(4). 1 104 r(4.2) - r(4) 0.2 CR r(4.5) 2001 Q r(4.2) r(4) P X A clum 985
1. The figure shows a curve C given by a vector function r(t). (a) Draw the vectors r(4.5) - r(4) and r(4.2) - r(4). (b) Draw the vectors r(4.5) - r(4) 0.5 bas and (c) Write expressions for r'(4) and the unit tangent vector T(4). (d) Draw the vector T(4). 1 104 r(4.2) - r(4) 0.2 CR r(4.5) 2001 Q r(4.2) r(4) P X A clum 985
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:1. The figure shows a curve C given by a vector function r(t).
(a) Draw the vectors r(4.5) - r(4) and r(4.2) - r(4).
(b) Draw the vectors
r(4.5) – r(4)
0.5
Cum m
(c) Write expressions for r'(4) and the unit tangent
vector T(4).
(d) Draw the vector T(4).
108 201
YA
0
and
OD
C
r(4.5)
r(4.2)
r(4)
1
r(4.2) - r(4)
0.2
r(1.1) - r(1)
0.1
R
P
Q
X
2. (a) Make a large sketch of the curve described by the vector
function r(t) = (t², t), 0 ≤ t ≤ 2, and draw the vectors
r(1), r(1.1), and r(1.1) - r(1).
(b) Draw the vector r'(1) starting at (1, 1), and compare it
with the vector
Explain why these vectors are so close to each other in
length and direction.
3-8
(a) Sketch the plane curve with the given vector equation.
(b) Find r'(t).
13.
14.
15.
16.
70%
Blogs 17-2
given
17. r
18. r
19. r
20. r
1160 21. If
22. If
23-26
with th
23. x
24. x =
25. x =
26. x =
27. Fin
inte
at t
28. Fin
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