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Let C be the parametric curve defined by Ja(t)=1²-t-6, [y(t) = 41³ + 3t² - 6t. Determine the point/s where C has horizontal tangent line. SET UP the definite integral that gives the length of arc of C from the point (- 4, 5) to the point ( – 6, 0).

Let C be the parametric curve defined by Ja(t)=1²-t-6, [y(t) = 41³ + 3t² - 6t. Determine the point/s where C has horizontal tangent line. SET UP the definite integral that gives the length of arc of C from the point (- 4, 5) to the point ( – 6, 0).

Algebra & Trigonometry with Analytic Geometry
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 34E
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Let C be the parametric curve defined by [x(t) =t²-t-6, y(t) = 4t³ + 3t² - 6t. Determine the point/s where C has horizontal tangent line. SET UP the definite integral that gives the length of arc of C from the point (-4, 5) to the point (-6, 0).
Transcribed Image Text:Let C be the parametric curve defined by [x(t) =t²-t-6, y(t) = 4t³ + 3t² - 6t. Determine the point/s where C has horizontal tangent line. SET UP the definite integral that gives the length of arc of C from the point (-4, 5) to the point (-6, 0).
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