determine the linear expansion of the rod. II. Apparatus: Linear expansion apparatus‚ Brass & Aluminium rods‚ Thermometer‚ Electric heater‚ Steel tape‚ Boiler‚ Rubber hose‚ Extension cord‚ Screw driver. III. Sketch: IV. Data and Results Item Used | Symbol | Unit | Sample Used | | | | Brass | Aluminium | Initial length of Rod | LO | cm | 61cm | 60.8cm | Initial temperature of the Rod | TL | °C | 30°C | 30°C | Final temperature of Rod | TF | °C | 99°C | 99°C | Expansion of the Rod | ∆L
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THEOREM OBJECTIVES Recognize patterns in binomial expansions. Evaluate a binomial coefficient. Expand a binomial raised to a power. Find a particular term in a binomial expansion Understand the principle of mathematical induction. Prove statements using mathematical induction. Definition: BINOMIAL THEOREM Patterns in Binomial Expansions A number of patterns‚ as follows‚ begin to appear when we write the binomial expansion of a b n‚ where n is a positive integer. a
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In the book Into the Wild‚ written by Jon Krakauer‚ a man named Chris McCandless and his adventures are followed as he travels the states‚ parts of Mexico then eventually a fatal trip to Alaska. As McCandless grew up‚ he didn’t always have the best relationship with his parents‚ so when he finished college‚ he vowed to himself that he’d live on the road and forget his old life and never having to depend on anyone again. McCandless believed that the mainstream lifestyle was too constricting and didn’t
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God? No‚ he’s Babe Ruth Tom 7(8) Baseball is a sport of records. In same words‚ baseball is all about records. If your records are good then you are a good baseball player‚ in the same way if your records are bad‚ then you’re not a good player. There are lots of players in the past who’s records are still kept such as Babe Ruth‚ Perry Walter Johnson‚ El Morl….. Babe Ruth‚ who is he? He’s the GOD of baseball‚ the KING of swings. There are lots of famous quotes that Babe Ruth said or quotes about
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westward expansion was the key to the nation’s health: He believed that a republic depended on an independent‚ virtuous citizenry for its survival‚ and that independence and virtue went hand in hand with land ownership‚ especially the ownership of small farms. (“Those who labor in the earth‚” he wrote‚ “are the chosen people of God.”) In order to provide enough land to sustain this ideal population of virtuous yeomen‚ the United States would have to continue to expand.The westward expansion of the
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COLONIAL EXPANSIONS AND RIVALRIES What is it? Colonialism expansion is where countries (such as Britain‚ France‚ Germany and Russia) settle on new land. They do this to expand their territories‚ and to use their resources for to benefit their empire. Rivalries between the empires are consequential. This is because many empires are involved in conflicts when attempting to regain new land. How did it contribute to the start of World War I? Imperialism was one of the causes of World War I.
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Economic Expansion 1. Briefly describe Hong Kong’s economy (background‚ GDP‚ growth rate‚ etc.)‚ (20 points) Everything about Hong Kong tells the story of trade. With beginnings as a small rocky island full of fishing villages‚ Hong Kong has grown to become one of the largest cities of trade and finance in the world. Hong Kong had a GDP of $325.8 billion USD in 2010‚ which represents a 6.8% growth from the previous year (“Economy: Hong Kong”‚ 2011). This growth is a nice change from the 2.7% loss
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Introduction International relations written by Joshua S. Goldstein is an alluring book for the people who have interest in international relations and who want to know what is IR or why and how countries interact with each other on international level. Joshua Goldstein himself is one of the well-known writer who has firm grip over international relations. In this book he has explained almost all aspects of international relations and students after reading this will have a clear idea about what
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The westward expansion‚ which started in the 1820s‚ was one of the biggest steps forward our country has ever taken. It nearly tripled the size of our country and increased the population by monstrous amounts. It also improved the economy greatly though agricultural means‚ prompted political leaders to sent people to explore (Lewis and Clark)‚ started a civil war‚ motivated huge amounts of people to move west‚ and almost destroyed our country. The expansion was magnified greatly by the
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The novel begins with a woman named Ruth Young‚ a self-sustaining woman who works at home as a Ghost-Writer. One day‚ she comes across a stack of papers written in Chinese and remembers that her mother‚ LuLing‚ had written them for her. As much as she wants to have them translated‚ Ruth carries a lot on her plate. Having to deal with her unsupportive husband‚ her job and most importantly her slowly dementing mother‚ Ruth finally finds time to have them translated. In the papers she finds an
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