OpenStudy (anonymous):

Consider the paraboloid z=x2+y2. The plane 2x−5y+z−9=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 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.

3 years ago
OpenStudy (anonymous):

sorry, it copied wrong. that should be z=x^2+y^2.

3 years ago
OpenStudy (anonymous):

and i'm completely stuck. c(t)=(x(t),y(t),z(t)), where x(t)=, y(t)= and z(t)=

3 years ago
OpenStudy (anonymous):

ur wrong

3 years ago
OpenStudy (anonymous):

jk

3 years ago