\input epsf
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\magnification=\magstep1

\noindent {\bf Problem statement} Is the point (1,2,3) on a tangent
line of the twisted cubic ${\bf c}(t) = (t,t^2,t^3)$?

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\vfil\eject\end

ANOTHER VERSION OF THIS PROBLEM IS BELOW, TOGETHER WITH A PICTURE OF
PART OF THE SURFACE WHICH IMPLICITLY OCCURS IN THIS PROBLEM. THE LOGIC
OF THIS PROBLEM IS DIFFICULT FOR MANY STUDENTS. 

\vtop{\hsize=3.2in \noindent {\bf Problem statement} Is the point (1,2,3) on a tangent
line of the twisted cubic ${\bf c}(t) = (t,t^2,t^3)$?}

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\rightline{\epsfxsize=2.15in\epsfbox{sg23.eps}}