(a) Eliminate the parameter to find a Cartesian equation of the curve.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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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.
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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