(A) Determine the Solution of the Differential Equation $\frac { d y } { d x } = - y$

question 17

Essay

(a) Determine the solution of the differential equation $\frac { d y } { d x } = - y$ where $y ( 0 ) = 1$ .(b) Use the solution $y ( x )$ from part (a) to calculate $y ( 0.4 )$ .(c) Use Euler's Method with the given step sizes to estimate the value of $y ( 0.4 )$ for the equation given in part (a).(i) $h = 0.4$ (ii) $h = 0.2$ (iii) $h = 0.1$ (d) Sketch $y ( x )$ from part (b) and each of the Euler approximations from part (c) on the same set of axes.

Comprehend the relationship between social impact theory variables and conformity.

Appreciate the cultural and contextual factors affecting conformity and social influence.

Understand the distinction and implications of conforming to group norms in social contexts.

Identify the types of social influence (normative, informational, interpersonal) and their effects on conformity.

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Definitions:

Company's Finances

The management, status, and operations related to the inflow and outflow of money within a company.

Offsite Training

Instruction or education programs conducted away from the usual work location to provide a unique, often more focused learning environment.

Tightrope Walking

A metaphor for managing a difficult and risky balance between differing or opposing conditions or priorities.

Informal Communication

The exchange of information through unofficial channels, often based on personal relationships rather than organizational structure.