9. A particle is traveling along the path such that its position at any time t is given by r(1) ={G -0,c² -1)}. The length of the curve for 0sis3is: a. 12 14 b. 32 c. d. 6

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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9. A particle is traveling along the path such that its position at any time t is given by
r(1) ={G -0,c² -1)}. The length of the curve for 0sis3is:
a. 12
14
b.
32
c.
d. 6
© 2021, James West
10. A particle is traveling along the path such that its position at any time t is given by
r() ={Gr -n,c -n}. The speced at any time r for the curve is:
a. 2-1
b. +1
c. Vt +4 +1
Transcribed Image Text:9. A particle is traveling along the path such that its position at any time t is given by r(1) ={G -0,c² -1)}. The length of the curve for 0sis3is: a. 12 14 b. 32 c. d. 6 © 2021, James West 10. A particle is traveling along the path such that its position at any time t is given by r() ={Gr -n,c -n}. The speced at any time r for the curve is: a. 2-1 b. +1 c. Vt +4 +1
6. Find a parameterization x = x(t), y = y(t), t € [0,1] for the line segment through (2, 6)
and (6, 3).
a. x(t) = 2– 41, y(1) = 6 +3t
b. x(t) = 2+41, y(1) = 6+3t
c. x(t) = 2–41, y(t) = 6–3t
d. x() - 2+ 4г, У() — 6— 31
© 2021, James West
7. Find the length of the graph: f(x) =Vx(x – 3), x € [0,3]
a. V3
b.
2
c. 23
Transcribed Image Text:6. Find a parameterization x = x(t), y = y(t), t € [0,1] for the line segment through (2, 6) and (6, 3). a. x(t) = 2– 41, y(1) = 6 +3t b. x(t) = 2+41, y(1) = 6+3t c. x(t) = 2–41, y(t) = 6–3t d. x() - 2+ 4г, У() — 6— 31 © 2021, James West 7. Find the length of the graph: f(x) =Vx(x – 3), x € [0,3] a. V3 b. 2 c. 23
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