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Using Parametric Equations Consider the parametric equations x = √√t and y = 2 - t.

Using Parametric Equations Consider the parametric equations x = √√t and y = 2 - t.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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9. Using Parametric Equations Consider the parametric equations x = √√t and y = 2 - t. (a) Create a table of x- and y-values using t = 0, 1, 2, 3, and 4. (b) Plot the points (x, y) generated in part (a) and sketch a graph of the parametric equations for 0 ≤ t ≤ 4. Describe the orientation of the curve. (c) Use a graphing utility to graph the curve represented by the parametric equations. (d) Find the rectangular equation by eliminating the parameter. Sketch its graph. How does the graph differ from those in parts (b) and (c)?
Transcribed Image Text:9. Using Parametric Equations Consider the parametric equations x = √√t and y = 2 - t. (a) Create a table of x- and y-values using t = 0, 1, 2, 3, and 4. (b) Plot the points (x, y) generated in part (a) and sketch a graph of the parametric equations for 0 ≤ t ≤ 4. Describe the orientation of the curve. (c) Use a graphing utility to graph the curve represented by the parametric equations. (d) Find the rectangular equation by eliminating the parameter. Sketch its graph. How does the graph differ from those in parts (b) and (c)?
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