Suppose the position of a particle is given by parametric equations x(t) = 2t2-1 and y(t) = 3t3. (a) Find the particle's position (x,y) at t=3. (x, v) - ( (b) Find the time t at which the particle passes through the point (1, -3) %3|

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Suppose the position of a particle is given by parametric equations
x(t) = 2t2-1 and y(t) = 3t3.
(a) Find the particle's position (x,y) at t=3.
(x, y) - (
(b) Find the time t at which the particle passes through the point (1, -3)
t =
Transcribed Image Text:Suppose the position of a particle is given by parametric equations x(t) = 2t2-1 and y(t) = 3t3. (a) Find the particle's position (x,y) at t=3. (x, y) - ( (b) Find the time t at which the particle passes through the point (1, -3) t =
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