Let S be the quadric with equation 36x² –4y² –9z² – 36x = 0. Sketch a graph of the surface with complete label of points on the graph. Follow the graph format of the examples given.

Identify the quadric surface for the equation y² - x² = 16. a parabolic cylinder a hyperbolic paraboloid an elliptic cylinder a hyperboloid of two sheets a hyperbolic cylinder Determine the intercepts of the quadric surface. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give your answer in the form of a comma-separated list of point coordinates in the form (*, *, *). Enter DNE if the surface and the axes does not intersect.) intercept(s): (0,0,0) Incorrect Determine the traces of the quadric surface. (Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the surface and the plane are not traced. If a trace of the surface in the plane is a point, give your answer as point coordinates in the form (*, *, *).) the trace in the xy-plane: Incorrect the trace in the xz-plane: Incorrect the trace in the yz-plane: Incorrect

For each equation from 1-8, use a graphing utility to sketch and describe the surface. 1. y=7 2. z -5

Let S be the quadric with equation 36x? –4y2 –9z² – 36x = 0. Sketch a graph of the surface with complete label of points on the graph. Follow the graph format of the given example. Example (0,0,8) (0,-4,0) -2,0,0) (2,0,0) (0,4,0)