Need help with Calc 3 question. Thank you Consider the paraboloid z=x2+y2zx2y2.
ID: 1719977 • Letter: N
Question
Need help with Calc 3 question.
Thank you
Consider the paraboloid z=x2+y2zx2y2. The plane 5x9y+z3=05x9yz30 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 parametrize as a function 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.
Explanation / Answer
The equations are not given clearly . In fact , they dont make any sense , as it stands.
Please post the correct equations in their exact form.