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Consider the parametric curve C given by X= St. y = 5 sin²t where te [0.2] (₁) Determine the values of t where C has horizontal and vertical tangent lines. (2) Set up, but do not evaluate the integral equal to the length of the arch of C from the point (-1,0) to the point (3,5) 3T t- Cos t

Consider the parametric curve C given by X= St. y = 5 sin²t where te [0.2] (₁) Determine the values of t where C has horizontal and vertical tangent lines. (2) Set up, but do not evaluate the integral equal to the length of the arch of C from the point (-1,0) to the point (3,5) 3T t- Cos t

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 62E
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Consider the parametric curve C given by 2y = 5oin²t where te [0.2π] (1) Determine the values of t where C has horizontal and vertical tangent lines. (2.) Set up, but do not evaluate the integral equal to the length of the arch of C from the point (-1,0) to the point (3,5). √3 Cos t
Transcribed Image Text:Consider the parametric curve C given by 2y = 5oin²t where te [0.2π] (1) Determine the values of t where C has horizontal and vertical tangent lines. (2.) Set up, but do not evaluate the integral equal to the length of the arch of C from the point (-1,0) to the point (3,5). √3 Cos t
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