Question: different from posted items Section 10.7: Problem 7 (1 point) Consider the paraboloid 2 - - y The plane 32 4y + 2- 2 0

different from posted items

different from posted items Section 10.7: Problem 7 (1 point) Consider the

Section 10.7: Problem 7 (1 point) Consider the paraboloid 2 - - y The plane 32 4y + 2- 2 0 cuts the paraboloid, its intersection being a curve. Find "the natural" parametrization of this curve. Hint: The curve which is cut lies above a circle in the xy-plane which you should parametrization of the variable t so that the circle is traversed counterclockwise exactly once as t goes from 0 to 2 pi, and the paramterization starts at the point on the circle with largest x coordinate. Using that as your starting point, give the parametrization of the curve on the surface. elt) (alt). y(t). z(t) ). where

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