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?

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
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?
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?

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