Consider the curve C with parametric equations Sr(t) = t3 – 3t +1 ly(t) = t(t + 1) %3D defined for t E R.
Consider the curve C with parametric equations Sr(t) = t3 – 3t +1 ly(t) = t(t + 1) %3D defined for t E R.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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![1. Consider the curve C with parametric equations
Sæ(t) = t³ – 3t +1
\y(t) = t(t + 1)
defined for t E R.
(a) Determine the points where C has a horizontal or a vertical tangent line.
(b) Find the concavity of C at the point where t = 0.
(c) Set up an integral for the arc length of C from (1,0) to (3,6).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76043b90-1f33-46dd-a5c8-708bcf994f14%2F6199e568-de4e-46e2-baa1-484526f1b524%2F7sp2iys_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Consider the curve C with parametric equations
Sæ(t) = t³ – 3t +1
\y(t) = t(t + 1)
defined for t E R.
(a) Determine the points where C has a horizontal or a vertical tangent line.
(b) Find the concavity of C at the point where t = 0.
(c) Set up an integral for the arc length of C from (1,0) to (3,6).
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How did you solve t=0 and t=2 in answering letter C?
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