Identify the type of surface represented by the given equation.
-$$\frac { x ^ { 2 } } { 5 } + \frac { y ^ { 2 } } { 3 } = 8$$
A) Parabolic cylinder
B) Ellipsoid
C) Elliptical cylinder
D) Paraboloid

Question

Quizplus · Accepted Answer

The equation represents an elliptical cylinder because it has two squared terms with different coefficients on the left-hand side and a constant on the right-hand side, but it does not depend on the third variable (z), indicating it extends infinitely along that axis.

Identify the Type of Surface Represented by the Given Equation x25+y23=8\frac { x ^ { 2 } } { 5 } + \frac { y ^ { 2 } } { 3 } = 85x2​+3y2​=8

Identify the Type of Surface Represented by the Given Equation $\frac { x ^ { 2 } } { 5 } + \frac { y ^ { 2 } } { 3 } = 8$