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1. Rectangular hyperbolas and parametric equations
My exercises on parametric equations have changed suddenly to rectangular hyperbolas without much explanation

xy = 16

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
2. (Original post by Jorge)
My exercises on parametric equations have changed suddenly to rectangular hyperbolas without much explanation

xy = 16

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
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...

y^2 = x^3

jorge