List MF15 MATHEMATICS (8864) MATHEMATICS (9740) MATHEMATICS (9810) LIST OF FORMULAE AND STATISTICAL TABLES PURE MATHEMATICS Algebraic series Binomial expansion: n n n (a + b) n = a n + a n −1b + a n − 2b 2 + a n − 3b3 + K + b n ‚ where n is a positive 1 2 3 n n! integer and = r r!(n − r )! Maclaurin’s expansion: x2 x n (n) f ′′(0) + K + f (0) + K n! 2! n(n − 1) 2 n(n − 1) K (n − r + 1) r x +K (1 +
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22‚ 2010 Indian Independence India‚ in the 18th century was ruled by the British for two centuries. The Indians wanted freedom from the British. British looted and caused fights in India and treated them with no respect. The Indian Independence was caused by British Imperialism. The British wanted to take over India‚ but India wanted freedom as well since it’s their country not the British. Although politics and nationalism were important causes of the Indian Independence Movement‚ the most
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SOLUTIONS MANUAL CHAPTER 15 PUT AND CALL OPTIONS PROBLEMS Exercise (strike) price 1. A stock has an exercise (strike) price of $40. a. If the stock price goes to $41.50‚ is the exchange likely to add a new strike price? b. If the stock price goes to $42.75 is the exchange likely to add a new strike price? 15-1. a) No. For stocks over $25‚ the normal interval is $5‚ with a new strike price added at the halfway point or $42.50 (between $40 and $45). b) Yes‚ the stock price has equaled or exceeded
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Declaration of Independence Declaration of Independence Video As I was looking through many sites to find a video that would fit this Declaration of Independence thinglink‚ I approached one that actually inspired and told me something about what it was. This video put everything you needed to know about the Declaration of Independence into one song. I also choose this image because I thought it was pretty cool and had pictures to represent what the singers were trying to say if in case you
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This document was created when the American colonist decided to declare their independence from England. A committee of delegates selected from each colony was appointed to write the declaration at the Second Continental Congress. These men consisted of John Adams‚ Benjamin Franklin‚ Thomas Jefferson‚ Robert Livingston‚ and Roger Sherman. The Declaration consists of three sections‚ the first was‚ “The Preamble”. The Preamble was discusses why the Continental Congress made up the Declaration‚ how
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Stecy Mbemba Preamble: I‚ Stecy Mbemba‚ declare my independence from technology for all concerened persons to read. Technology should be a source to make like easier for me‚ instead it is destroying my life. I’m afraid of ruining my life because of the “little” mistakes I make now. Philosophical Foundation: My addiction to technology has caused me to miss out on wonderful oppertunitites‚ and will have an impact on my future. In
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different. August Pullman in Wonder by RJ Palacio‚ is a 5th grade boy who gets bullied by many people because he has a face disorder. Jamie Grimm from I Funny by James Patterson‚ is in a middle school who would gets bullied‚ but tells a joke to get him out of the situation. The both have a little in common but mostly they’re different. For example‚ their personal life‚ family‚ and school are different. To start us off‚ we are going to start with how their personal lives are different. August has a face
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The Angel of Independence‚ most commonly known as "El Ángel" and officially known as "Columna de la Independencia"‚ is a victory column located on a roundabout over Paseo de la Reforma in downtown of Mexico City. It was built to commemorate the centennial of the beginning of Mexico’s War of Independence‚ celebrated in 1910. After several years it was transformed into a mausoleum for the most important heroes of that war. It is one of the most recognizable landmarks in Mexico City. It is quite similar
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British government has breeched its social contract and the consent of the colonies to be governed by Britain may be withdrawn. Once colonial consent to be governed by the British is withdrawn‚ that government can be replaced. The Declaration of Independence acknowledges‚ however‚ that a government should not be replaced "for light and transient causes." As such‚ the Declaration proceeds with a list wrongs which act as evidence of Britain’s breech of contract with the colonies and their justification
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Waging War for Independence (1764 – 1783) Stephanie Maharaj History 1301 Antrece Baggett October 12‚ 2012 The thirteen colonies moved from peaceful resistance to outright war against the British government’s “reform” programs of new taxes and regulations during the period of (1764-1783). These new programs had a significant impact on the people of the colonies‚ and caused a great uproar. Protests broke out‚ and eventually the American Revolution came into the picture. I will explain some
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