I. Let C be the parametric curve with parametric equations x=t(t² + 1)-¹/2 te [-3,3] ly: = 2t - 2 tan-¹t-In(t² + 1) 1. Find the coordinates of all points on C where the tangent line is horizontal. 2. Set up the integral that gives the arc length of C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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I. Let C be the parametric curve with parametric equations
x =
t(t² + 1)-¹/2
te [-3,3]
5
y = 2t - 2 tan-¹t-In(t² + 1)
1. Find the coordinates of all points on C where the tangent line is horizontal.
2. Set up the integral that gives the arc length of C.
F
Transcribed Image Text:I. Let C be the parametric curve with parametric equations x = t(t² + 1)-¹/2 te [-3,3] 5 y = 2t - 2 tan-¹t-In(t² + 1) 1. Find the coordinates of all points on C where the tangent line is horizontal. 2. Set up the integral that gives the arc length of C. F
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