Solve the Problem $2 x ^ { 2 } + y ^ { 2 } + 4 z ^ { 2 } = 12$

question 127

Multiple Choice

Solve the problem.
-A rectangular box is to be inscribed inside the ellipsoid $2 x ^ { 2 } + y ^ { 2 } + 4 z ^ { 2 } = 12$ . Find the largest possible volume for the box.

• A) \(16 \sqrt { 2 }\)
• B) \(15 \sqrt { 2 }\)
• C) \(12 \sqrt { 2 }\)
• D) \(18 \sqrt { 2 }\)

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Definitions:

Interference Theory

The view that we may forget stored material because other learning interferes with it.

Serial-position Effect

A cognitive phenomenon where people tend to remember the first and last items in a series best, and the middle items worst.

Retrospective Memory

Memory for past events, activities, and learning experiences, as shown by explicit (episodic and semantic) and implicit memories.

Repetition

The act of doing or saying something over and over again to retain or improve the skill or memory.