Classify each of the following quadric surfaces as either an ellipsoid, hyperboloid of one sheet, hyperboloid of two sheets, elliptic cone, elliptic paraboloid, or hyperbolic paraboloid. Record the values of a, b, and c for each quadric surface. a) 2z - x^2-4y^2=0
b) 6x^2+3y^2+4z^2=12
c)4x^2+y^2-4z^2=-4
d)y^2-x^2-z=0
e) 9x^2+y^2-9z^2=9
f) 12z^2-3x^2=4y^2​

The vertices of a rectangle are given in the columns of the matrix . if is found to perform a transformation, what are the coordinates of the transformed rectangle? (0, 0), (0, –3), (–3, –3), (–3, 0) (0, 0), (0, 3), (3, 3), (3, 0) (0, 0), (0, 3), (–3, –3), (–3, 0) (0, 0), (0, 3), (–3, 3), (–3, 0)

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use any method invocations.

Adriveway is 40 yards long about how many meters long is it