Identify the type of quadric surface amd sketch the xy xz an

Identify the type of quadric surface amd sketch the xy, xz, and yz traces of each in a plane.

Solution

A. You will see that this quadric surface equation follows the format of a one sheet hyperboloid. Specifically, note that all the variables are squared, and one of them is negative.

To find the trace of a quadric surface, simply set the variable given equal to the value given. That would then be the cross section of the hyperboloid

B. hyperboloid

C.hyperboloid

D. Hyperbola

E. Hyperbola