I. Let C be the parametric curve with parametric equations [x = t(t² + 1)-¹/2 te [-3,3] 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.
I. Let C be the parametric curve with parametric equations [x = t(t² + 1)-¹/2 te [-3,3] 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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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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