Question
Match the parametric curve to its description. Be careful: It is possible that the same description fits more than one parametric curve!
(a) (t + 1,4t−2)
(b) (t^2,3t^2)
(c) (cost,2(cost)^2 + cost)
(d) ((2t + 1)sint,(2t + 1)cost)
(e) (2t−1,5)
(1) A portion of a parabola.
(2) A straight line traversed at constant speed.
(3) A straight line traversed at variable speed.
(4) A circle.
(5) Doesn’t match any other description.
The parametric curve that I know the description is only (c) which is a (1) parabola. So how about the others?
(a) (t + 1,4t−2)
(b) (t^2,3t^2)
(c) (cost,2(cost)^2 + cost)
(d) ((2t + 1)sint,(2t + 1)cost)
(e) (2t−1,5)
(1) A portion of a parabola.
(2) A straight line traversed at constant speed.
(3) A straight line traversed at variable speed.
(4) A circle.
(5) Doesn’t match any other description.
The parametric curve that I know the description is only (c) which is a (1) parabola. So how about the others?
Answers
Steve
visit wolframalpha.com and type in your functions, as in (d) below
http://www.wolframalpha.com/input/?i=parametric+plot+x%3D%282t+%2B+1%29sint,+y%3D%282t+%2B+1%29cost
http://www.wolframalpha.com/input/?i=parametric+plot+x%3D%282t+%2B+1%29sint,+y%3D%282t+%2B+1%29cost
Mr Homie
So this means that (d) doesnt match any other description? because that's not a circle right?
What does (2) and (3) should look like in the graph?
What does (2) and (3) should look like in the graph?
Mr Homie
What does (2)straight line traversed at constant speed and (3) A straight line traversed at variable speed should look like in the graph?