Identify the following quadric surface. $\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 6 } - \frac { z ^ { 2 } } { 8 } = 1$
A) hyperboloid of two sheets
B) elliptic cone
C) ellipsoid
D) elliptic paraboloid
E) hyperboloid of one sheet

Question

Quizplus · Accepted Answer

This equation represents a hyperboloid of one sheet because it has two squared terms with the same sign and one squared term with the opposite sign, and all terms are divided by constants, with the equation equal to 1.

Identify the Following Quadric Surface x28+y26−z28=1\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 6 } - \frac { z ^ { 2 } } { 8 } = 18x2​+6y2​−8z2​=1

Identify the Following Quadric Surface $\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 6 } - \frac { z ^ { 2 } } { 8 } = 1$