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A particle travels along a path defined by x(t) = sin(3t) and y(t) = 3 cos(t), for t≥ 0 a. When does the particle first pass through the point (2)? b. When does the particle pass through the point (,) next?

A particle travels along a path defined by x(t) = sin(3t) and y(t) = 3 cos(t), for t≥ 0 a. When does the particle first pass through the point (2)? b. When does the particle pass through the point (,) next?

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
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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A particle travels along a path defined by x(t) = sin(3t) and y(t) = 3 cos(t), for t≥ 0 a. When does the particle first pass through the point (2)? b. When does the particle pass through the point (,) next?
Transcribed Image Text:A particle travels along a path defined by x(t) = sin(3t) and y(t) = 3 cos(t), for t≥ 0 a. When does the particle first pass through the point (2)? b. When does the particle pass through the point (,) next?
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