x = 3 sin(t), y = 4 cos(t), 0 < t < 2π (a) Eliminate the parameter to find a Cartesian equation of the curve. b) Sketch the curve and indicate with an arrow the direction in which t curve is traced as the parameter increases. ) Find an equation of the tangent to the curve at t = 0.
x = 3 sin(t), y = 4 cos(t), 0 < t < 2π (a) Eliminate the parameter to find a Cartesian equation of the curve. b) Sketch the curve and indicate with an arrow the direction in which t curve is traced as the parameter increases. ) Find an equation of the tangent to the curve at t = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Solve problem c
![x = 3 sin(t), y = 4 cos(t), 0 < t < 2π
(a) Eliminate the parameter to find a Cartesian equation of the curve.
(b) Sketch the curve and indicate with an arrow the direction in which the
curve is traced as the parameter increases.
(c) Find an equation of the tangent to the curve at t = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25f7872c-ab16-475e-aaa5-d36f49bf1e01%2Ff5068a66-3d0d-4b3f-9a4d-2955d604ad46%2Fclo7pxa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:x = 3 sin(t), y = 4 cos(t), 0 < t < 2π
(a) Eliminate the parameter to find a Cartesian equation of the curve.
(b) Sketch the curve and indicate with an arrow the direction in which the
curve is traced as the parameter increases.
(c) Find an equation of the tangent to the curve at t = 0.
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