Consider the Boundary-Value Problem $y ^ { \prime \prime } - 4 y ^ { \prime } + 3 y = x , y ( 0 ) = 1 , y ( 1 ) = 2$

question 11

Multiple Choice

Consider the boundary-value problem $y ^ { \prime \prime } - 4 y ^ { \prime } + 3 y = x , y ( 0 ) = 1 , y ( 1 ) = 2$ . Replace the derivatives with central differences with a step size of $h = 1 / 4$ . The resulting equations are

• A) \(12 y _ { i + 1 } - 29 y _ { i } - 24 y _ { i - 1 } = x _ { i }\)
• B) \(12 y _ { i + 1 } + 17 y _ { i } + 12 y _ { i - 1 } = x _ { i }\)
• C) \(8 y _ { i + 1 } + 17 y _ { i } + 12 y _ { i - 1 } = x _ { i }\)
• D) \(8 y _ { i + 1 } - 29 y _ { i } + 24 y _ { i - 1 } = x _ { i }\)
• E) \(8 y _ { i + 1 } + 29 y _ { i } - 24 y _ { i - 1 } = x _ { i }\)

Understand the core concept of marketing as a process of creating value and establishing relationships.

Recognize the importance of consumer needs and wants in the marketing process.

Understand the components of the marketing mix (4 Ps) and their role in marketing strategies.

Distinguish between different types of marketing (B2B, B2C, C2C).

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Definitions:

Expected Number

The calculated average or mean value of a numeric dataset, predicting the central value around which other values tend to cluster.

Customers In Service

The number of customers currently being served or assisted in a service-based business or setting.

Probability

The measure of the likelihood or chance that a particular event will occur, expressed as a number between 0 and 1.

System

A set of connected elements or components that function together as a complex whole, often described in terms of inputs, processes, outputs, and feedback.