Consider the curve defined by parametric equations x t? and y = t3 – 3t . (a) Find all points on the curve where the tangent line is horizontal. (b) Find all points on the curve where the tangent line is vertical.

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 33E
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Consider the curve defined by parametric equations x
t? and y = t3 – 3t .
(a) Find all points on the curve where the tangent line is horizontal.
(b) Find all points on the curve where the tangent line is vertical.
Transcribed Image Text:Consider the curve defined by parametric equations x t? and y = t3 – 3t . (a) Find all points on the curve where the tangent line is horizontal. (b) Find all points on the curve where the tangent line is vertical.
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