In the Previous Problem, Using the Notation $u _ { i j } = u ( x , t )$

question 4

Multiple Choice

In the previous problem, using the notation $u _ { i j } = u ( x , t )$ , and letting $c = 1 , \lambda = c k / h ^ { 2 }$ , the equation becomes

• A) \(u _ { i , j - 1 } = \lambda u _ { i + 1 , j } + ( 1 + 2 \lambda ) u _ { i , j } + \lambda u _ { i - 1 , j }\)
• B) \(u _ { i , j - 1 } = \lambda u _ { i + 1 , j } + ( 1 - 2 \lambda ) u _ { i , j } + \lambda u _ { i - 1 , j }\)
• C) \(u _ { i , j + 1 } = \lambda u _ { i + 1 , j } + ( 1 + 2 \lambda ) u _ { i , j } + \lambda u _ { i - 1 , j }\)
• D) \(u _ { i , j + 1 } = \lambda u _ { i + 1 , j } + ( 1 - 2 \lambda ) u _ { i , j } + \lambda u _ { i - 1 , j }\)
• E) \(u _ { i , j + 1 } = \lambda u _ { i + 1 , j } + ( 1 - \lambda ) u _ { i , j } + \lambda u _ { i - 1 , j }\)

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Definitions:

Factors Beyond Your Control

Circumstances or variables affecting a situation or outcome that one cannot influence or alter.

Conventional Type

A category or class considered traditional or based on long-standing norms and practices.

Artistic Personal Orientation

A characteristic of individuals who have a strong inclination towards creativity, aesthetics, and expressing themselves through art.

Coordinates Social Activities

Involves organizing events or gatherings that facilitate interaction and engagement among people for recreational, educational, or social purposes.