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

question 19

Multiple Choice

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

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

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Definitions:

Unity of Command

A principle in management and organizational design that mandates each employee is accountable to one and only one supervisor, ensuring clear instruction and direction.

Locus of Control

A psychological concept that describes the degree to which individuals believe they have control over the outcomes of events in their lives.

Departmentalization

The process of dividing an organization into different departments, which perform specific functions or tasks.