x =√t and y = 2 -t. a. Create a table of x and y values using t = 0, 1, 2, 2, 3, and 4. b. Plot the points (x, y) generated in part a and draw a graph of the parametric equations. c. Use a graphing utility to graph the curve represented by the parametric equations. d. Find the rectangular equation by eliminating the parameter. Draw its graph.How does the graph of parts b and c differ?
x =√t and y = 2 -t. a. Create a table of x and y values using t = 0, 1, 2, 2, 3, and 4. b. Plot the points (x, y) generated in part a and draw a graph of the parametric equations. c. Use a graphing utility to graph the curve represented by the parametric equations. d. Find the rectangular equation by eliminating the parameter. Draw its graph.How does the graph of parts b and c differ?
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 9CT
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Topic to be discussed: Parametric equations
x =√t and y = 2 -t.
a. Create a table of x and y values using t = 0, 1, 2, 2, 3, and 4.
b. Plot the points (x, y) generated in part a and draw a graph of the parametric equations.
c. Use a graphing utility to graph the curve represented by the parametric equations.
d. Find the rectangular equation by eliminating the parameter. Draw its graph.How does the graph of parts b and c differ?
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