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Parametrisation

I need to answer a question, which involves me parametrising the hyperbola x^2 - y^2 = 1, z = 0 from (1,0,0) to (2,root3,0). I have already done the parametrisation, however I am not sure how to work out the limits for my new parametrised function. :confused:

Can anybody help me with this?
Reply 1
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DavidLUFC
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Does it have something to do with the triangle with hypotenuse 2, height root 3, and base 1? Any ideas?
DavidLUFC
...


What parameterization did you come up with?

That will effect what limits you will have.
Reply 3
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DavidLUFC
OP
The parameterisation is (cosh(t), sinh(t), 0).

So what will this make the limits as?
So, you need to work out what the value of t is such that your parameterized form is equal to (1,0,0). That should be fairly obvious.

Similarly what value produces (2,root3,0); a little harder, but not much.

Enough?
Reply 5
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DavidLUFC
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Thanks! I got it.

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