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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).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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