For Exercises 35-42, use the results of Exercises 27-30 and use the parameter t to write parametric equations representing the given curve. Answers may vary. Hyperbola with center: 0 , 0 , vertices 0 , ± 2 , and asymptotes y = ± 2 3 x
For Exercises 35-42, use the results of Exercises 27-30 and use the parameter t to write parametric equations representing the given curve. Answers may vary. Hyperbola with center: 0 , 0 , vertices 0 , ± 2 , and asymptotes y = ± 2 3 x
Solution Summary: The author explains the parametric equations of a hyperbola with center (0,0), vertices, and asymptotes.
For Exercises 35-42, use the results of Exercises 27-30 and use the parameter
t
to write parametric equations representing the given curve. Answers may vary.
Hyperbola with center:
0
,
0
, vertices
0
,
±
2
,
and asymptotes
y
=
±
2
3
x
Sketch the curve represented by the parametric equations x = t3, y = t2/2 (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.
Given the parametric curve:
x = t3-6t2
y = t2-4t
What are all the points that the curve passes through more than once?
sketch the graph of the parametric eqaution
x=t, y=t^2/4
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Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY