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Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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In Exercises 5-12, parametric equations for a curve are given.
dy
dx
(a) Find
(b) Find the equations of the tangent and normal line(s)
at the point(s) given.
(c) Sketch the graph of the parametric functions along
with the found tangent and normal lines.
5. x=t, y=t; t=1
6. x = √t, y = 5t+ 2; t = 4
7. x=t²-t,y=t+t; t = 1
Transcribed Image Text:In Exercises 5-12, parametric equations for a curve are given. dy dx (a) Find (b) Find the equations of the tangent and normal line(s) at the point(s) given. (c) Sketch the graph of the parametric functions along with the found tangent and normal lines. 5. x=t, y=t; t=1 6. x = √t, y = 5t+ 2; t = 4 7. x=t²-t,y=t+t; t = 1
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