Find an equation of the tangent(s) to the curve at the given point. Then sketch the curves, and clearly indicate direction of motion: a) x = 2 cost, y = 3 sint -1, t = 0. b) x = 2 sin 2t, y = 2 sint, t = n/3.

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Find an equation of the tangent(s) to the curve at the given point. Then sketch the
curves, and clearly indicate direction of motion:
a) x = 2 cost, y = 3 sint -1, t = 0.
b) x = 2 sin 2t, y = 2 sint, t = n/3.
Transcribed Image Text:Find an equation of the tangent(s) to the curve at the given point. Then sketch the curves, and clearly indicate direction of motion: a) x = 2 cost, y = 3 sint -1, t = 0. b) x = 2 sin 2t, y = 2 sint, t = n/3.
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