Rectangular hyperbolas and parametric equations Watch

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Jorge
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#1
Report Thread starter 14 years ago
#1
My exercises on parametric equations have changed suddenly to rectangular hyperbolas without much explanation

xy = 16

answer

x= 4t, y = 4/t

It would make sense if I understood where the t suddenly came from. I guess it is a variable parameter, but...


next example

y^2 = y^3

and the answer whch does not seem to tally at all with the previous exaple is

x= t^2, y = t^3

I would be very grateful if someone could explain what lies behind all this and what is the relation betwwen the first and second example.

Thank you very mucgh


jorge
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Aitch
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#2
Report 14 years ago
#2
(Original post by Jorge)
My exercises on parametric equations have changed suddenly to rectangular hyperbolas without much explanation

xy = 16

answer

x= 4t, y = 4/t

It would make sense if I understood where the t suddenly came from. I guess it is a variable parameter, but...


next example

y^2 = y^3

and the answer whch does not seem to tally at all with the previous exaple is

x= t^2, y = t^3

I would be very grateful if someone could explain what lies behind all this and what is the relation betwwen the first and second example.

Thank you very mucgh


jorge
I don't know anything about rectangular hyperbolas, but...

if x= 4t, y = 4/t
then xy = 16

and y^2 = y^3 must be a mistake! (or y=1)

y^2 = x^3 ?


Aitch
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Jorge
Badges: 4
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#3
Report Thread starter 14 years ago
#3
(Original post by Aitch)
I don't know anything about rectangular hyperbolas, but...

if x= 4t, y = 4/t
then xy = 16

and y^2 = y^3 must be a mistake! (or y=1)

y^2 = x^3 ?


Aitch

Sorry...

Should have read:

y^2 = x^3


jorge
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