Which regular surface contains the curve $\displaystyle \alpha(t) = (e^tcos(t), e^tsin(t), e^t)$?

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- Oct 25th 2008, 07:56 PMdori1123regular surface
Which regular surface contains the curve $\displaystyle \alpha(t) = (e^tcos(t), e^tsin(t), e^t)$?

- Oct 25th 2008, 11:10 PMwhipflip15
$\displaystyle \mbox{Rotate }\alpha(u)=(e^u,e^u,e^u)\mbox{ about the z-axis to get }\sigma(u,v)=(e^ucos(v),e^usin(v),e^u).$

- Oct 26th 2008, 11:13 AMdori1123
- Oct 26th 2008, 02:36 PMwhipflip15
Do you know what a regular surface is?

'A parameterized surface is regaler if...?'

Finish the sentence then test the surface i gave.