Identify the surface $2 = y ^ { 2 } + z ^ { 2 }$ .
A)ellipsoid but not a sphere
B)hyperboloid of one sheet
C)hyperboloid of two sheets
D)cylinder
E)sphere
F)elliptic but not circular paraboloid
G)cone
H)circular paraboloid (figure of revolution)

Question

Quizplus · Accepted Answer

The equation $2 = y^2 + z^2$ represents a cylinder because it involves two squared variables (y and z) with the same coefficient and does not involve the third variable (x), indicating that the shape is a cylinder with its axis along the x-axis.

Identify the Surface 2=y2+z22 = y ^ { 2 } + z ^ { 2 }2=y2+z2

Identify the Surface $2 = y ^ { 2 } + z ^ { 2 }$