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Let C be the parametric curve defined by x(t) = t²-t-6, [y(t) = 4t³ + 3t² − 6t. a. Determine the point/s where C has horizontal tangent line. b. 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 x(t) = t²-t-6, [y(t) = 4t³ + 3t² − 6t. a. Determine the point/s where C has horizontal tangent line. b. 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
Section: Chapter Questions
Problem 18T
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Let C be the parametric curve defined by [x(t) = t² – t – 6, |y(t) = 4t³ + 3t² − 6t. a. Determine the point/s where C has horizontal tangent line. b. 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. a. Determine the point/s where C has horizontal tangent line. b. 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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