Chapter 1/2 – Basics
1. Basic notations 1.1. Sum of: ∑ 1.2. Product of: ∏ 2. Sets A = {1,2,3} describes the set A containing members 1, 2, and 3. A={n | n is a whole number and 1≤n≤3} x A denotes that x is a member of set A S T denotes that S is a subset of T A B is the set whose members belong to either set A, set B or both i.e. A B = {x | x A or x B} A B is the intersection of 2 sets where A B = {x | x A and x B} denotes an empty set

3. Functions Given two sets A and B, a function from A to B is a rule which assigns to each member of A precisely one member of B.

A function is a one-way relationship: the function number, (x).

takes a number x as input and it returns another

An inverse function takes as input a number y and returns the number x such that ( ) ( ) Not all functions have an inverse. Ex. ( ) A composite function is one where two functions that; ( ) ( ( )) 4. Powers Rules ( )

is given by

are applied consecutively to obtain h such

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MT105a Study Notes – J.Fenech

Chapter 3 – Differentiation
1. Definition The derivative is a measure of the instantaneous rate of change of a function 1.1. Derivative from first principles ( ) ( )

1.2. Alternative notation ( ) 1.3. Standard Derivatives Table

2.4. Chain Rule or Composite function rule ( ) ( ( )) ( ) ( ( )) ( )

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MT105a Study Notes – J.Fenech 3. Differentiation by taking logarithms 4. Local Maxima and Minima Derivatives are very useful for finding the maximum and minimum values of a function In particular; If ’(x) > 0 then is increasing at x If ’(x) < 0 then is decreasing at x 4.1. First derivative test At a point c for which ’(c) =0, is neither increasing nor decreasing. C is the...

...level of long-term demand • Overcapacity! operating costs that are too high • Undercapacity! strained resources and possible loss of customers
Decision Theory: A general approach to decision making that is suitable to a wide range of operations management decisions • Capacity planning • Product and service design • Equipment selection • Location planning
...

...recent research mentions that the term of strategic management accounting was first coined by Simmonds (1981). Who defined it as the provision and analysis of information about a business and its competitors for use in developing and monitoring the business strategy? However, in the contemporary business environment, organizations are experiencing greater challenges, increased competition and rapid diffusion of knowledge. (2)
Traditionally management accounting has...

...UniversitiesLondon has the largest student population of any British city, although not the highest per capita. Universities in London may be divided into two groups:
First, the federal University of London, which, with over 120,000 students, is the largest contact teaching university in the United Kingdom (smaller only than the distance-education Open University) and one...

...Management 3200: Principles of Management
Spring 2012; Section 01; 12:10-1:30 TTH
Course Objective: The course objective is two-fold: 1) to acquire knowledge of the basic vocabulary and major facts, principles, and concepts of management and 2) to achieve an appreciation of the issues involved in managing people.
Required Text: Fundamentals of Management (7ed.) (2011) by Robbins, DeCenzo, &
Coulter; Prentice Hall....

...• What were the most revolutionary social and economic developments of the last quarter of the nineteenth century?
• How did different groups of Americans respond to those changes and how effective were their responses?
• What role did government play in these developments?
In the late 1900s some of the most social and economic developments were railroads, steel oil, the type writer cash register, light bulb and agriculture. The development of the railroad made it easier for immigrant to...

...f=Friction force, N=normal force. The value of μ has no units since it only serves as a factor between F and N. In order to obtain a constant value for the μ, one has to consider state of equilibrium for the object being experimented. We also took note of the fact that 0 < u < 1.
In cases which there is an angle of repose, all forces involved are being translated with accordance to the surface’s inclination. The weight will now have components that contribute to the...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also...

...Yr 10
Mathematics
Assignment
LCR Maths
By Adonis Chigeza
Understanding and Fluency Tasks
Task A
1. y = 1.2𝑥 + 2.57
2. Interpolation: y = -3.43
Extrapolation: y = -8.23
Task B
a) The equation for the path of the ball is h = -0.1t^2 + 0.9t + 1 (h = height, t = time)
b) The vertical height of the ball after 2. seconds2.664m
c) The maximum height reached by the ball is 3.025m
d) The time of with the ball is at maximum height of 3.025 is 4.5 seconds
e) The total...

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