(a) By eliminating the parameter, sketch the trajectory over the time interval 0 ≤ t ≤1 of the particle whose parametric equations of motion are x = cos (πt), y =sin(πt)(b) Indicate the direction of motion on your sketch.(c) Make a table of x-and y-coordinates of the particle at times t = 0, 0.25, 0.5, 0.75, 1.(d) Mark the position of the particle on the curve at the times in part (c), and label those positions with the values of t.

(a) By eliminating the parameter, sketch the trajectory over the time interval 0 ≤ t ≤1 of the particle whose parametric equations of motion are x = cos (πt), y =sin(πt)(b) Indicate the direction of motion on your sketch.(c) Make a table of x-and y-coordinates of the particle at times t = 0, 0.25, 0.5, 0.75, 1.(d) Mark the position of the particle on the curve at the times in part (c), and label those positions with the values of t.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 36E

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