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List all of the points (x,y) on the parametric curve x=t^3+4t, y=6t^2 where the tangent line is parallel to the line with parametric equations x=−7t, y=12t−5.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.6: Parametric Equations

Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...

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Question

List all of the points (x,y) on the parametric curve

x=t^3+4t, y=6t^2

where the tangent line is parallel to the line with parametric equations

x=−7t, y=12t−5.

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