In Exercises 5-8, sketch the graph of the given parametric equations by hand, making a table of points to plot. Be sure to indicate the orientation of the graph. 5. x=t+t, y=1-t², -3 ≤ t ≤ 3 6. x = 1, y = 5 sint, -π/2 ≤t≤ π/2 7. x=t, y=2, -2 ≤t≤2 8. x= t³-t+3, y=t²+1, -2≤ t ≤2 −2

Trigonometry (MindTap Course List)
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Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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In Exercises 5-8, sketch the graph of the given parametric
equations by hand, making a table of points to plot. Be sure
to indicate the orientation of the graph.
5. x=t+t, y=1-t², -3 ≤ t ≤ 3
6. x = 1, y = 5 sint, -π/2 ≤t≤ π/2
7. x=t, y=2, -2 ≤t≤2
8. x= t³-t+3, y=t²+1, -2≤ t ≤2
Transcribed Image Text:In Exercises 5-8, sketch the graph of the given parametric equations by hand, making a table of points to plot. Be sure to indicate the orientation of the graph. 5. x=t+t, y=1-t², -3 ≤ t ≤ 3 6. x = 1, y = 5 sint, -π/2 ≤t≤ π/2 7. x=t, y=2, -2 ≤t≤2 8. x= t³-t+3, y=t²+1, -2≤ t ≤2
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