Consider the parametric equations x = t and y = 2 t. (a) Create a table of x- and
Chapter 10, Problem 9(choose chapter or problem)
Using Parametric Equations Consider the parametric equations \(x=\sqrt t\) 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 \(0 \le t \le 4\). 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)?
Text Transcription:
x=sqrt t
0 <=t <= 4
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