5. Sketch the parametric curve x = t2 – t, y = t³ – 3t and determine the location (x, y and t) where the curve crosses itself. Determine equations of the tangent lines at that point.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 1ECP: Sketch and describe the orientation of the curve given by the parametric equations...
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5. Sketch the parametric curve x = t2 – t, y = t³ – 3t and determine the location (x, y and t)
where the curve crosses itself. Determine equations of the tangent lines at that point.
Transcribed Image Text:5. Sketch the parametric curve x = t2 – t, y = t³ – 3t and determine the location (x, y and t) where the curve crosses itself. Determine equations of the tangent lines at that point.
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