Analyse graph on parametrics

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Scott Marley

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Aug 2, 2014, 5:23:57 PM8/2/14
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Hi all,

Is there any way to get the TI-nspire cx to perform any of the 'analyse graph' functions on parametric equations? Specifically I'm looking for intersection with the x-axis and min/max points. It looks like this isn't possible, but was wondering if anyone knew any workarounds?

Thanks for any light you can throw on the situation.

John Hanna

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Aug 2, 2014, 8:31:25 PM8/2/14
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No, Analyze does not apply to parametrics because the x- and y expressions are independent of one another. Consider x(t)= sin(t) and y(t)=t^2. Analyze that!

 

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     John Hanna

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     T3 - Teachers Teaching with Technology

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John Losse

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Aug 5, 2014, 12:38:38 PM8/5/14
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Scott,

Not sure how much “working around” you are willing to do, but here is an idea.

Enter your parametric as usual (x1(t), y1(t))

Next enter f1(x)=x1(x)   and f2(x)=y1(x)

You are then free to use “analyze” on the f’s.

For example, the image shows a Lissajous figure.  To find where the rightmost point is, you are looking for where dx1/dt =0, giving a vertical tangent.

Define f3=d(f1)/dx and use “analyze” to find that its zero is at x=0.524…

Trace the Lissajous to the point where t=.524…. and you have it.





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