(a) The parametric equations x = f(t) and y = g(t) give the coordinates of a point (x, Y) = ((t), g(t)) for appropriate values of t. The variable t is called a parameter v (b) Suppose that the parametric equations x = t, y t2, t 2 0, model the position of a moving object at time t. When t = 0, the object is at 0,0 and when t = 1, the object is at 1, 1 (c) If we eliminate the parameter in part (b), we get the equation We see from this equation that the path of the moving object is a parabola

(a) The parametric equations x = f(t) and y = g(t) give the coordinates of a point (x, Y) = ((t), g(t)) for appropriate values of t. The variable t is called a parameter v (b) Suppose that the parametric equations x = t, y t2, t 2 0, model the position of a moving object at time t. When t = 0, the object is at 0,0 and when t = 1, the object is at 1, 1 (c) If we eliminate the parameter in part (b), we get the equation We see from this equation that the path of the moving object is a parabola

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.CR: Chapter Review

Problem 9CC

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