Asked by Mr Homie
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
Answered by
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
Answered by
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?
Answered by
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?
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.