Problem 1: Match the following parametric equations to their Cartesian forms. (a) r = cos t, y = sin t, te [-1/2, T/2] | (1) x = V1- y?, y e [-1, 1] (b) a = cos 2t, y = sin 2t, te [1, 0] (2) y = 1+x, r E [-1, 1] (c) r = sin? t, y = cos² t, te [0, 27] (3) a² + y² = 1, r € [-1, 1] (d) r = - cos 2t, y = 2 sin? t, t e [0, 27] | (4) y =1- x, r € [0, 1]

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
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Problem 1: Match the following parametric equations to their Cartesian forms.
(a) r = cos t, y = sin t, te [-7/2, 7/2] | (1) x = V1– y?, y € [-1,1]
(b) r = cos 2t, y = sin 2t, te [-7, 0]
(2) y = 1+x, r E [-1, 1]
(c) r = sin? t, y = cos? t, te [0,2m]
(3) a² + y² = 1, r€ [-1, 1]
(d) r = – cos 2t, y = 2 sin? t, t e [0, 27] | (4) y = 1 – x, re [0,1]
Transcribed Image Text:Problem 1: Match the following parametric equations to their Cartesian forms. (a) r = cos t, y = sin t, te [-7/2, 7/2] | (1) x = V1– y?, y € [-1,1] (b) r = cos 2t, y = sin 2t, te [-7, 0] (2) y = 1+x, r E [-1, 1] (c) r = sin? t, y = cos? t, te [0,2m] (3) a² + y² = 1, r€ [-1, 1] (d) r = – cos 2t, y = 2 sin? t, t e [0, 27] | (4) y = 1 – x, re [0,1]
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