1.(a) Sketch a curve represented by the parametric equations x = 1-t andy = 1+ t. Then find a rectangular-coordinate equation for the curve byeliminating the parameter.(b) Find parametric equations for the line of slope 2 that passes through thepoint (3,5).2.(a) Sketch the graph of the parametric curvex = 3 sin(t) + 3y = 2 cos(t)(0

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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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1. (a) Sketch a curve represented by the parametric equations x = 1 - t² and y = 1+t. Then find a rectangular-coordinate equation for the curve by eliminating the parameter.