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

question 265

Multiple Choice

Identify the surface $x = y ^ { 2 } + 2 z ^ { 2 }$ .

• 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)

---

Definitions:

ANOVA

Analysis of Variance, a statistical method used to compare the means of three or more samples to see if at least one is significantly different from the others.

Factor Analysis

A statistical approach aimed at uncovering the foundational variables, or factors, responsible for the correlations seen among various observed variables.

Path Analysis

A statistical method employed to explain the directional dependencies between multiple variables.

ANCOVA

Analysis of Covariance, a blend of ANOVA and regression, used for statistical control of one or more quantitative variables that covary with the dependent variable.