Which regular surface contains the curve $\displaystyle \alpha(t) = (e^tcos(t), e^tsin(t), e^t)$?
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$\displaystyle \mbox{Rotate }\alpha(u)=(e^u,e^u,e^u)\mbox{ about the z-axis to get }\sigma(u,v)=(e^ucos(v),e^usin(v),e^u).$
Originally Posted by whipflip15 $\displaystyle \mbox{Rotate }\alpha(u)=(e^u,e^u,e^u)\mbox{ about the z-axis to get }\sigma(u,v)=(e^ucos(v),e^usin(v),e^u).$ That is a parametrization, but what is the regular surface?
Do you know what a regular surface is? 'A parameterized surface is regaler if...?' Finish the sentence then test the surface i gave.
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