EBK CALCULUS
4th Edition
ISBN: 9781319055844
Author: FRANZOSA
Publisher: VST
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Question
Chapter 14.3, Problem 12E
To determine
Arc length function for
, a = 1
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Check out a sample textbook solutionStudents have asked these similar questions
Find the x-coordinate of each point where the function f (2)
) = arcsin (5 r- 2 z) has a horizontal tangent line.
2.
a) OI =
-1 and a =
b) O = 0 and r
1.
c) O I =
d) Oz=
215
%3D
2/5
2. Consider the following vector-valued function
7(t) = (t sint + cos t, sin t – t cos t, v6t?)
|
Compute the arc length from t = 0 to t = T.
Find the arc length for the function f(x)
in the closed interval [0,3]
= 1/(x² + 2) ²³
=
3
Chapter 14 Solutions
EBK CALCULUS
Ch. 14.1 - Prob. 1PQCh. 14.1 - Prob. 2PQCh. 14.1 - Prob. 3PQCh. 14.1 - Prob. 4PQCh. 14.1 - Prob. 5PQCh. 14.1 - Prob. 6PQCh. 14.1 - Prob. 1ECh. 14.1 - Prob. 2ECh. 14.1 - Prob. 3ECh. 14.1 - Prob. 4E
Ch. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - Prob. 10ECh. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - Prob. 32ECh. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - Prob. 37ECh. 14.1 - Prob. 38ECh. 14.1 - Prob. 39ECh. 14.1 - Prob. 40ECh. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - Prob. 43ECh. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - Prob. 48ECh. 14.1 - Prob. 49ECh. 14.1 - Prob. 50ECh. 14.1 - Prob. 51ECh. 14.1 - Prob. 52ECh. 14.1 - Prob. 53ECh. 14.2 - Prob. 1PQCh. 14.2 - Prob. 2PQCh. 14.2 - Prob. 3PQCh. 14.2 - Prob. 4PQCh. 14.2 - Prob. 5PQCh. 14.2 - Prob. 6PQCh. 14.2 - Prob. 7PQCh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - Prob. 4ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - Prob. 17ECh. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - Prob. 26ECh. 14.2 - Prob. 27ECh. 14.2 - Prob. 28ECh. 14.2 - Prob. 29ECh. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - Prob. 34ECh. 14.2 - Prob. 35ECh. 14.2 - Prob. 36ECh. 14.2 - Prob. 37ECh. 14.2 - Prob. 38ECh. 14.2 - Prob. 39ECh. 14.2 - Prob. 40ECh. 14.2 - Prob. 41ECh. 14.2 - Prob. 42ECh. 14.2 - Prob. 43ECh. 14.2 - Prob. 44ECh. 14.2 - Prob. 45ECh. 14.2 - Prob. 46ECh. 14.2 - Prob. 47ECh. 14.2 - Prob. 48ECh. 14.2 - Prob. 49ECh. 14.2 - Prob. 50ECh. 14.2 - Prob. 51ECh. 14.2 - Prob. 52ECh. 14.2 - Prob. 53ECh. 14.2 - Prob. 54ECh. 14.2 - Prob. 55ECh. 14.2 - Prob. 56ECh. 14.2 - Prob. 57ECh. 14.2 - Prob. 58ECh. 14.2 - Prob. 59ECh. 14.2 - Prob. 60ECh. 14.2 - Prob. 61ECh. 14.2 - Prob. 62ECh. 14.2 - Prob. 63ECh. 14.2 - Prob. 64ECh. 14.2 - Prob. 65ECh. 14.2 - Prob. 66ECh. 14.2 - Prob. 67ECh. 14.2 - Prob. 68ECh. 14.2 - Prob. 69ECh. 14.2 - Prob. 70ECh. 14.2 - Prob. 71ECh. 14.2 - Prob. 72ECh. 14.2 - Prob. 73ECh. 14.2 - Prob. 74ECh. 14.2 - Prob. 75ECh. 14.2 - Prob. 76ECh. 14.2 - Prob. 77ECh. 14.2 - Prob. 78ECh. 14.3 - Prob. 1PQCh. 14.3 - Prob. 2PQCh. 14.3 - Prob. 3PQCh. 14.3 - Prob. 4PQCh. 14.3 - Prob. 1ECh. 14.3 - Prob. 2ECh. 14.3 - Prob. 3ECh. 14.3 - Prob. 4ECh. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Prob. 7ECh. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - Prob. 16ECh. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - Prob. 19ECh. 14.3 - Prob. 20ECh. 14.3 - Prob. 21ECh. 14.3 - Prob. 22ECh. 14.3 - Prob. 23ECh. 14.3 - Prob. 24ECh. 14.3 - Prob. 25ECh. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Prob. 28ECh. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - Prob. 31ECh. 14.3 - Prob. 32ECh. 14.3 - Prob. 33ECh. 14.3 - Prob. 34ECh. 14.3 - Prob. 35ECh. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Prob. 39ECh. 14.3 - Prob. 40ECh. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Prob. 43ECh. 14.4 - Prob. 1PQCh. 14.4 - Prob. 2PQCh. 14.4 - Prob. 3PQCh. 14.4 - Prob. 4PQCh. 14.4 - Prob. 5PQCh. 14.4 - Prob. 6PQCh. 14.4 - Prob. 7PQCh. 14.4 - Prob. 1ECh. 14.4 - Prob. 2ECh. 14.4 - Prob. 3ECh. 14.4 - Prob. 4ECh. 14.4 - Prob. 5ECh. 14.4 - Prob. 6ECh. 14.4 - Prob. 7ECh. 14.4 - Prob. 8ECh. 14.4 - Prob. 9ECh. 14.4 - Prob. 10ECh. 14.4 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Prob. 13ECh. 14.4 - Prob. 14ECh. 14.4 - Prob. 15ECh. 14.4 - Prob. 16ECh. 14.4 - Prob. 17ECh. 14.4 - Prob. 18ECh. 14.4 - Prob. 19ECh. 14.4 - Prob. 20ECh. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Prob. 23ECh. 14.4 - Prob. 24ECh. 14.4 - Prob. 25ECh. 14.4 - Prob. 26ECh. 14.4 - Prob. 27ECh. 14.4 - Prob. 28ECh. 14.4 - Prob. 29ECh. 14.4 - Prob. 30ECh. 14.4 - Prob. 31ECh. 14.4 - Prob. 32ECh. 14.4 - Prob. 33ECh. 14.4 - Prob. 34ECh. 14.4 - Prob. 35ECh. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - Prob. 39ECh. 14.4 - Prob. 40ECh. 14.4 - Prob. 41ECh. 14.4 - Prob. 42ECh. 14.4 - Prob. 43ECh. 14.4 - Prob. 44ECh. 14.4 - Prob. 45ECh. 14.4 - Prob. 46ECh. 14.4 - Prob. 47ECh. 14.4 - Prob. 48ECh. 14.4 - Prob. 49ECh. 14.4 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Prob. 52ECh. 14.4 - Prob. 53ECh. 14.4 - Prob. 54ECh. 14.4 - Prob. 55ECh. 14.4 - Prob. 56ECh. 14.4 - Prob. 57ECh. 14.4 - Prob. 58ECh. 14.4 - Prob. 59ECh. 14.4 - Prob. 60ECh. 14.4 - Prob. 61ECh. 14.4 - Prob. 62ECh. 14.4 - Prob. 63ECh. 14.4 - Prob. 64ECh. 14.4 - Prob. 65ECh. 14.4 - Prob. 66ECh. 14.4 - Prob. 67ECh. 14.4 - Prob. 68ECh. 14.4 - Prob. 69ECh. 14.4 - Prob. 70ECh. 14.4 - Prob. 71ECh. 14.4 - Prob. 72ECh. 14.4 - Prob. 73ECh. 14.4 - Prob. 74ECh. 14.4 - Prob. 75ECh. 14.4 - Prob. 76ECh. 14.4 - Prob. 77ECh. 14.4 - Prob. 78ECh. 14.4 - Prob. 79ECh. 14.4 - Prob. 80ECh. 14.4 - Prob. 81ECh. 14.4 - Prob. 82ECh. 14.4 - Prob. 83ECh. 14.4 - Prob. 84ECh. 14.4 - Prob. 85ECh. 14.4 - Prob. 86ECh. 14.4 - Prob. 87ECh. 14.4 - Prob. 88ECh. 14.4 - Prob. 89ECh. 14.4 - Prob. 90ECh. 14.4 - Prob. 91ECh. 14.4 - Prob. 92ECh. 14.4 - Prob. 93ECh. 14.5 - Prob. 1PQCh. 14.5 - Prob. 2PQCh. 14.5 - Prob. 3PQCh. 14.5 - Prob. 4PQCh. 14.5 - Prob. 5PQCh. 14.5 - Prob. 6PQCh. 14.5 - Prob. 7PQCh. 14.5 - Prob. 1ECh. 14.5 - Prob. 2ECh. 14.5 - Prob. 3ECh. 14.5 - Prob. 4ECh. 14.5 - Prob. 5ECh. 14.5 - Prob. 6ECh. 14.5 - Prob. 7ECh. 14.5 - Prob. 8ECh. 14.5 - Prob. 9ECh. 14.5 - Prob. 10ECh. 14.5 - Prob. 11ECh. 14.5 - Prob. 12ECh. 14.5 - Prob. 13ECh. 14.5 - Prob. 14ECh. 14.5 - Prob. 15ECh. 14.5 - Prob. 16ECh. 14.5 - Prob. 17ECh. 14.5 - Prob. 18ECh. 14.5 - Prob. 19ECh. 14.5 - Prob. 20ECh. 14.5 - Prob. 21ECh. 14.5 - Prob. 22ECh. 14.5 - Prob. 23ECh. 14.5 - Prob. 24ECh. 14.5 - Prob. 25ECh. 14.5 - Prob. 26ECh. 14.5 - Prob. 27ECh. 14.5 - Prob. 28ECh. 14.5 - Prob. 29ECh. 14.5 - Prob. 30ECh. 14.5 - Prob. 31ECh. 14.5 - Prob. 32ECh. 14.5 - Prob. 33ECh. 14.5 - Prob. 34ECh. 14.5 - Prob. 35ECh. 14.5 - Prob. 36ECh. 14.5 - Prob. 37ECh. 14.5 - Prob. 38ECh. 14.5 - Prob. 39ECh. 14.5 - Prob. 40ECh. 14.5 - Prob. 41ECh. 14.5 - Prob. 42ECh. 14.5 - Prob. 43ECh. 14.5 - Prob. 44ECh. 14.5 - Prob. 45ECh. 14.5 - Prob. 46ECh. 14.5 - Prob. 47ECh. 14.5 - Prob. 48ECh. 14.5 - Prob. 49ECh. 14.5 - Prob. 50ECh. 14.5 - Prob. 51ECh. 14.5 - Prob. 52ECh. 14.5 - Prob. 53ECh. 14.5 - Prob. 54ECh. 14.5 - Prob. 55ECh. 14.5 - Prob. 56ECh. 14.5 - Prob. 57ECh. 14.5 - Prob. 58ECh. 14.5 - Prob. 59ECh. 14.5 - Prob. 60ECh. 14.5 - Prob. 61ECh. 14.6 - Prob. 1PQCh. 14.6 - Prob. 2PQCh. 14.6 - Prob. 3PQCh. 14.6 - Prob. 1ECh. 14.6 - Prob. 2ECh. 14.6 - Prob. 3ECh. 14.6 - Prob. 4ECh. 14.6 - Prob. 5ECh. 14.6 - Prob. 6ECh. 14.6 - Prob. 7ECh. 14.6 - Prob. 8ECh. 14.6 - Prob. 9ECh. 14.6 - Prob. 10ECh. 14.6 - Prob. 11ECh. 14.6 - Prob. 12ECh. 14.6 - Prob. 13ECh. 14.6 - Prob. 14ECh. 14.6 - Prob. 15ECh. 14.6 - Prob. 16ECh. 14.6 - Prob. 17ECh. 14.6 - Prob. 18ECh. 14.6 - Prob. 19ECh. 14.6 - Prob. 20ECh. 14.6 - Prob. 21ECh. 14.6 - Prob. 22ECh. 14.6 - Prob. 23ECh. 14.6 - Prob. 24ECh. 14.6 - Prob. 25ECh. 14 - Prob. 1CRECh. 14 - Prob. 2CRECh. 14 - Prob. 3CRECh. 14 - Prob. 4CRECh. 14 - Prob. 5CRECh. 14 - Prob. 6CRECh. 14 - Prob. 7CRECh. 14 - Prob. 8CRECh. 14 - Prob. 9CRECh. 14 - Prob. 10CRECh. 14 - Prob. 11CRECh. 14 - Prob. 12CRECh. 14 - Prob. 13CRECh. 14 - Prob. 14CRECh. 14 - Prob. 15CRECh. 14 - Prob. 16CRECh. 14 - Prob. 17CRECh. 14 - Prob. 18CRECh. 14 - Prob. 19CRECh. 14 - Prob. 20CRECh. 14 - Prob. 21CRECh. 14 - Prob. 22CRECh. 14 - Prob. 23CRECh. 14 - Prob. 24CRECh. 14 - Prob. 25CRECh. 14 - Prob. 26CRECh. 14 - Prob. 27CRECh. 14 - Prob. 28CRECh. 14 - Prob. 29CRECh. 14 - Prob. 30CRECh. 14 - Prob. 31CRECh. 14 - Prob. 32CRECh. 14 - Prob. 33CRECh. 14 - Prob. 34CRECh. 14 - Prob. 35CRECh. 14 - Prob. 36CRECh. 14 - Prob. 37CRECh. 14 - Prob. 38CRECh. 14 - Prob. 39CRECh. 14 - Prob. 40CRECh. 14 - Prob. 41CRECh. 14 - Prob. 42CRE
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- In Exercises 49–54, find the arc length of the curve on the given interval.arrow_forwardA particle is moving along the path given by R(t) = (sin(ln t), cos(ln t), v3 ln t). (a) Reparametrize R with respect to the arclength s measured from the point P(0, 1,0) in the direction of increasing t. (b) Find the position of the particle after moving T units along the path from the point P(0,1,0).arrow_forwardFind an arc length parametrization r(t) = (et sin(t), et cos(t), 7et). Assume t(s) = 0 when s = 0, and t'(0) > 0. r₁(s) of 1 r₁(s) = ( (√(√² (1) sin(( 2 In SV ² 1 1))) S√2 +1 + 5 5 (√(( SV ² + 1) cos( / In $V² + 1)) S√2 S√2 13 5 5 7 √ ( SV/²2 +1) S√2 5arrow_forward
- Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. 7 (t)=(7+3t) + (8 +9t)] - (6t)k a. F(t(s))=(7+- s)i + (8 + b. F(t(s))=(7+ c. 7 (t(s)) = (7 + d. F(t(s))=(7- 3 √116 3 √136 3 √126 e. F(t(s))=(7- 126 -s)] - (6s)K √116 √116 s)i + (8 +- -s)] - (6s)K -s)]-(- s)i + (8 + √126 55)-(84 sĩ 126 s) - (8 + √116) (- 136 9 6s 126 6s 126 -)K -)K 126arrow_forward13. Given y = arcsin(x)– xV1-x², what is y'? 2r? A) 2x B) 2 C) D) 1-x?arrow_forwardConsider the curve where a is the last digit of your exam number. (a) Compute(t) at t = [0, +∞). dt (b) Find the tangent line at the point (añ, 3,0). (c) Find the length of the curve when t = [0, 2π]. r(t) = ((a + 1)t, 3 cos (2t), 3 sin(2t)) with t€[0,+∞).arrow_forward
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