
URGENT Parametrics

Re: URGENT Parametrics
Quote:
Originally Posted by
orange
Cos[4t] needs (2pi)/4 = pi/2
Sin[6t] needs (2pi)/6 = pi/3
what's the least common multiple of 1/2 and 1/3 ? So what's the minimum interval needed for a full cycle?

Re: URGENT Parametrics
1 is their LCM. So I guess the minimum interval is just pi?

Re: URGENT Parametrics
give that man a kewpie doll!

Re: URGENT Parametrics
Hello, orange!
I "eyeballed" the problem.
I think I have the solution.
When
At the "start", the graph is at
Here is what I found:
. .
. . and the cycle repeats.
Therefore: .

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Re: URGENT Parametrics
Hi,
If a given parametric curve is periodic, finding its period is a mystery to me. Here's a problem that I tackled some time ago with its solution; you might try your hand at it (my proof was somewhat long and involved). I wish I knew some general procedure to find the period of such periodic functions.
Attachment 29944