Multi-Variable Calculus Assignment

due Friday, February 23, 2001

Exercises

1. Find the equation of the plane tangent at the point (1, 1, 1) to the surface

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

2. Find the equation of the plane normal at the point (1, -1, 1) to the curve in space given parametrically by

   t ---> (t - 1, t^{4} - 3 t^{3} + t^{2} + 3, t^{3} - 3 t - 1) .

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