Further Pure 1 Revision Notes • Proof by induction To prove by induction that a statement (C) involving an integer n is true for all [pic]‚ prove that‚ i) (C) is true for [pic]; ii) if (C) is true for [pic]then (C) is true for [pic]. And then bring these parts together to complete the proof. • Summing series using formulae To sum series‚ use a combination of the following formulae. Second two are given in formula book. [pic] [pic] [pic] e.g. Q:
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Islam Revision notes What does Islam teach about good and evil? The problem of evil and suffering is one of the common reasons people give for not believing in God. There are two types of evil: • natural evil - suffering caused by events that have nothing to do with humans‚ and which are to do with the way the world is‚ eg‚ natural disasters such as volcanic eruptions‚ floods or earthquakes • moral (or human) evil - suffering caused by humans acting in a way that is considered morally
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Commercial Law Questions 1 What is meant by the terms "void" and "Voidable"- give examples quoting relevant case law. Void = is where there is no contract and never did exist in the first place‚ and a third party has no rights at all under a void contract. Case law: J Loudon & Co v Elder’s Curator Bonis. Voidable = is where a contract is valid until the court sets it aside‚ and a third party has good title if contracted before the contract being set aside or reduced by the courts. (The timing
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Conflict in Vietnam‚ 1963-75 Revision Notes This topic is in Paper 2‚ the source-based exam – along with World War One. There is no choice of question. The paper tests your source skills‚ but you must have a good knowledge of the topic as well - and be able to use this both in your answers and in order to understand the sources properly. Read the advice on the front of your WW1 revision pack for tips on how to answer the exam questions. Part 1; Reasons for the US involvement in
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Biology End of Year Revision Quick Recap on Graphs: * Always remember to include units * Put the dependent (thing you measure) along the y-axis. (One going up) * Put the independent (thing you change) on the x-axis (along the bottom) * Don’t join the dots up‚ draw a line of best fit. * Circle anomaly result. Healthy Diet For a healthy diet‚ you need energy. So you need: CARBOHYDRATES‚ to release energy. FATS‚ to keep warm and release energy PROTEIN‚ for growth cell
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1.1.1 In small unicellular organisms‚ substances move around slowly by diffusion. Diffusion is too slow to move substances round the larger bodies of multicellular organisms. They have a circulatory system: substances are carried in blood pumped by a heart. In a closed circulatory system (eg in vertebrates) blood is enclosed in narrow blood vessels. This increases efficiency: blood travels faster as a higher pressure is generated. Valves ensure blood flows in one direction:
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The Odyssey: Father-Son Relationships The Odyssey introduces the theme of father-son relationships to exemplify how influential fathers were at the time. Fathers act as role models to their sons and can determine their actions‚ even while being absent from home for long periods of time. Nestor’s son‚ Pisistratus‚ is a respectful and courteous man. His manners could be attributed to King Nestor’s piety. King Nestor offers sacrifices to the gods‚ as seen at the beginning of book IIV‚ when his people
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Activity Based Costing Cost attribution to cost units on the basis of benefits received from activities‚ i.e. ordering‚ setting up‚ assuring quality. Activity costs and the instances of cost driver occurrence are measured and used to decide on overhead absorption rates. Five stage process: 1. Identify the various activities within an organisation 2. Determine the key cost driver for each activity 3. Create cost pools to collect activity cost s having the same cost driver
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Utilitarianism challenged traditional views that abortion was an ’evil’ act‚ arguing instead that the end justifies the means. Utilitarianism generally supports a pro-choice position‚ and Mill strongly believed in individual sovereignty: Natural Law Natural Law asks what our design or purpose is as humans. One of the primary precepts is to protect and preserve the innocent. This alone leads to a secondary precept ’Do not abort.’ Secondary precepts are absolute deontological principles - there are no
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Revision questions for NGC1 element 1 Foundations in health and safety These will probably be the first set of revision questions that you attempt. The questions are‚ as their name indicates‚ intended to help you revise the main points of each element. Having said that‚ many of the questions could also be found‚ little changed‚ in your Certificate examination. Past examinations Actual past papers must form an integral part of your revision programme as you prepare for the examinations; your
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