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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Westward expansion was an important part of not only American history but the history of Native Americans as well. In a sense this journey seemed like a good idea and even an opportunity to further colonize the land but there was one problem‚ a group had already claimed the land as their home. This minor set back did not discourage Americans from working towards manifest destiny. The ways of the Native Americans were very different from those of the new settlers which caused much conflict and misconceptions
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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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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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Purpose: In this lab‚ we will heat up a metal rod and measure how much it expands. We will calculate its Coefficient of Linear Expansion‚ α‚ and prove the formula for thermal expansion‚ ΔL = αLiΔT. Also‚ we heat up a known volume of methyl alcohol and calculate its Coefficient of Volume Expansion‚ β‚ and prove the formula for volume expansion of a liquid ΔV = βViΔT. Equipment: Hollow Metal Rods of different metals‚ Steam Generator‚ Stand‚ Burner‚ Flexible Hoses‚ Motion Amplifier‚ Micrometer
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The period from 1450 to 1650 is often referred to as the “Age of Discovery‚” an era of advances in geographical knowledge and technology. It was also a time of European migration to other parts of the world. This Age of Expansion and European exploration from 1450 to 1525‚ greatly promoted by economical‚ technological‚ political‚ and religious factors‚ launched a major turning point in world history. The economy of late fifteenth century played an important role in European conquest. The Ottoman
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5/12/11  The federal government of the United States empowers a wide range of law enforcement agencies to maintain law and public order related to matters affecting the country as a whole. The Federal Law enforcement agencies are only authorized to enforce various laws generally only on a federal level. Majority of these agencies have broad federal enforcement powers‚ but most enforce only narrow portions of federal law. In some cases‚ they may be empowered to
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Thermal Expansion happens a lot in everyday life. When something is heated and expands this is Thermal Expansion. The way Thermal Expansion works‚ is when it is heated the atoms expand‚ and then when it is cooled it shrinks. Several examples of Thermal Expansi Thermal Expansion happens a lot in everyday life. When something is heated and expands this is Thermal Expansion. The way Thermal Expansion works‚ is when it is heated the atoms expand‚ and then when it is cooled it shrinks. Several
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