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Consider the smooth parametric curve defined by the equations = t (t² − 3) = 3 (t² − 3)' X Y where tER. 1. Show that the curve has a horizontal tangent line at the point (0, -9). d²y 2. Evaluate the second derivative at the point (0, -9). dx2

Consider the smooth parametric curve defined by the equations = t (t² − 3) = 3 (t² − 3)' X Y where tER. 1. Show that the curve has a horizontal tangent line at the point (0, -9). d²y 2. Evaluate the second derivative at the point (0, -9). dx2

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 20T
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Consider the smooth parametric curve defined by the equations { t = t (t² − 3) = 3 3 (t² − 3)' where tER. 1. Show that the curve C has a horizontal tangent line at the point (0, -9). d²y 2. Evaluate the second derivative at the point (0, -9). dx²
Transcribed Image Text:Consider the smooth parametric curve defined by the equations { t = t (t² − 3) = 3 3 (t² − 3)' where tER. 1. Show that the curve C has a horizontal tangent line at the point (0, -9). d²y 2. Evaluate the second derivative at the point (0, -9). dx²
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