Multi-Variable Calculus Assignment

due Friday, March 23, 2001

Exercises

1. Find the point on the curve

   x^{2} - y + z^{2}	=	0
   x y z	=	10

   that is nearest to the origin.

2. Find the curvature vector and the curvature of the twisted cubic

   t ---> (3 t, 3 t^{2}, 2 t^{3})

   at the point of that curve corresponding to the parameter value 1.

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