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Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve. Cycloid: x = 5(0 sin(0)), y = 5(1 - cos(0)) 8 5 10 15 20 25 30 n un 10 15 20 25 30 10 8 -30 -25 -20 -15 y -10 -5 Identify any points at which the curve is not smooth. O The graph is not smooth at = m. O The graph is smooth everywhere. O The graph is not smooth at O The graph is not smooth at O The graph is not smooth at = -n. = 2mt. 10 = 5mt. 10- 5 10 15 20 25 30

Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve. Cycloid: x = 5(0 sin(0)), y = 5(1 - cos(0)) 8 5 10 15 20 25 30 n un 10 15 20 25 30 10 8 -30 -25 -20 -15 y -10 -5 Identify any points at which the curve is not smooth. O The graph is not smooth at = m. O The graph is smooth everywhere. O The graph is not smooth at O The graph is not smooth at O The graph is not smooth at = -n. = 2mt. 10 = 5mt. 10- 5 10 15 20 25 30

Algebra and Trigonometry (MindTap Course List)
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 7CT
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Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve.

 
Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve. Cycloid: x = 5(8 - sin (0)), y= 5(1 - cos(0)) y 10 10 an Un 5 10 15 20 25 30 10 X -30 -25 -20 -15 -10 -6- -8 -10 Identify any points at which the curve is not smooth. O The graph is not smooth at = nit. O The graph is smooth everywhere. O The graph is not smooth at = -ntt. O The graph is not smooth at 8 = 2mt. O The graph is not smooth at 0 = 5mm. X 5 10 15 20 25 30 5 10 15 X 20 25 30
Transcribed Image Text:Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve. Cycloid: x = 5(8 - sin (0)), y= 5(1 - cos(0)) y 10 10 an Un 5 10 15 20 25 30 10 X -30 -25 -20 -15 -10 -6- -8 -10 Identify any points at which the curve is not smooth. O The graph is not smooth at = nit. O The graph is smooth everywhere. O The graph is not smooth at = -ntt. O The graph is not smooth at 8 = 2mt. O The graph is not smooth at 0 = 5mm. X 5 10 15 20 25 30 5 10 15 X 20 25 30
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