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
Premium
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.
Premium British Empire World War II Colonialism
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
Premium Thermodynamics Temperature Measurement
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
Premium Spain Portugal Age of Discovery
The Westward Movement had a big impact on nationalism and democracy. Nationalism is a feeling of patriotism‚ or pride in one’s country in a way. The westward expansion promoted the “ideal” of a pioneer as a pure and true American and the regular man as the “embodiment” of a democracy. This meant that every person had the same rights‚ the same opportunities and they hall had a right to vote and impact greatly the decisions of our government. The only group of people that were not treated this way
Premium United States American Civil War Native Americans in the United States
then exercised today. As time progressed‚ the role and influence of the federal government became more prominent. Examples of expansion in federal authority are evident in events surrounding the Civil War‚ Reconstruction‚ the Progressive Era‚ the Great Depression‚ and the Civil Rights Era. Identify and describe four (4) examples of U.S. federal government expansion of authority between the beginning of the U.S. Civil War and the end of the Civil Right Era. These examples must be placed
Premium Federal government of the United States United States President of the United States
EVIDENCE OUTLINE INTRODUCTION -Basics of Evidence 1 -Process of Proof & the Adversarial System 1 -Making and Meeting Objections 1 -Common Objections 2 RELEVANCE -Relevant Evidence 2 -Stipulations 2 -Components of Relevant Evidence 2 -Balancing Test 2 -Proposition 8 2 EVIDENCE EXCLUDED BY EXTRINSIC POLICIES CHARACTER EVIDENCE -Types of Character Evidence 3 -Character Trait at Issue 3 -Conduct in Conformity & Exceptions 3 -Relevant Non-Propensity Purpose 4
Premium Evidence law Evidence Criminal law
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
Premium Sun Heat
partnerships that have experience in local markets will help to make international expansion possible. Identify a foreign market that you feel this company should enter next‚ and explain why it should enter that market and which of the strategies should be used. Explain the challenges from competition in the local market‚ and how the company might respond strategically to the competition. International Expansion The strategic partnerships which do not only have the knowledge to succeed in
Premium Corporation
Natalie Simmermon ACC 503 California Creamery‚ Inc. (Activity-Based Costing) 1. What is the cost of the two products under traditional costing? Under traditional accounting the costs for each flavor were intuitively wrong. The cost to produce a gallon of Polynesian was $5.60‚ only 20 cents more than Vanilla comparatively. One would assume that an exotic flavor would have a significantly higher cost proportionally. 2. What is the cost of the two products under activity-based costing
Premium Marketing Cost Price