1. The problem statement, all variables and given/known data Consider the surface parameterized by (v cos(u), v sin(u), 45 v cos(u)), where u and v both vary from 0 to 2∏. 2. Relevant equations (v cos(u), v sin(u), 45 v cos(u)) I think this is supposed to be a vector function? As in r(u,v) = <v cos(u), v sin(u), 45 v cos(u)>. 3. The attempt at a solution In the x-y plane, this is a circle. x = v cos(u) so z = 45x. This is a slanted plane? So I thought the surface would be an ellipse, since the coefficient of x is 45 and the circle would be very squashed. Does this seem to be part of a cylinder because the cross section of a cylinder, if the plane is slanted, would it be a portion of an elliptical paraboloid? Or could it be a portion of a cone or hyperboloid? One of the answer options is an ellipsoid, but I don't think that's right because when I graphed this on a computer, it showed a flat surface. There are so many possibilities!