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Section 10.7: Problem 7 [1 point} Consider the paraboloid 2; : 22 + ya. The plane 7: 6y + z 10 : Dcuts the paraboloio.

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Section 10.7: Problem 7 [1 point} Consider the paraboloid 2; : 22 + ya. The plane 7: 6y + z 10 : Dcuts the paraboloio. 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-olane which you should parametrize as a function of the variable t so that the circle is traversed counterclockwise exactly once as t goes from D to 2'pi. arid 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. 66) = trrttl. W). 2(0). where m) : H W)

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