Identify the following quadric surface. $\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 6 } + \frac { z ^ { 2 } } { 2 } = 1$
A) hyperboloid of one sheet
B) elliptic cone
C) hyperboloid of two sheets
D) elliptic paraboloid
E) ellipsoid

Question

Quizplus · Accepted Answer

The given equation represents an ellipsoid because the coefficients of each square term are positive and are different, and the constant term is negative.

Identify the Following Quadric Surface x27+y26+z22=1\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 6 } + \frac { z ^ { 2 } } { 2 } = 17x2​+6y2​+2z2​=1

Identify the Following Quadric Surface $\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 6 } + \frac { z ^ { 2 } } { 2 } = 1$