. Let C be the parametric curve defined by x = tan-¹t Y In(1+²) a. Find and Do NOT eliminate the parameter. dy d²y dx dx² t>0 1 b. Find the arclength of C from the point (0,0) to the point (In 2)

Algebra and Trigonometry (MindTap Course List)
4th Edition
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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1. Let C be the parametric curve defined by
dy d²y
dx²
a. Find and
dx
[x = tan-¹ t
1
Y = In(1 + t²)
Do NOT eliminate the parameter.
b. Find the arclength of C from the point (0,0) to the point
t>0
(¹2).
Transcribed Image Text:1. Let C be the parametric curve defined by dy d²y dx² a. Find and dx [x = tan-¹ t 1 Y = In(1 + t²) Do NOT eliminate the parameter. b. Find the arclength of C from the point (0,0) to the point t>0 (¹2).
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