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Algebra & Trigonometry with Analytic Geometry

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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Question

Consider the curve C with parametric equations
Sx(t) = t3 – 3t +1
ly(t) = t(t + 1)
-
defined for t E R, and answer the following:
(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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