Answered: 7) The curve C have the parametric… | bartleby

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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7c

7) The curve C have the parametric equation:
x(t) = t2 + 1 and y(t) = t³ – 1
a) Make a sketch of curve C.
b) Show that for each to + 0 the curve has a tangent line on (x(to), y(to)) and give
a parametric equation of this tangent line.
c) Find the length of the curve on the interval 0 <t<1.

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