Previous exam questions on area between functions and volumes of solids. 1. Let f(x) = cos(x2) and g(x) = ex‚ for –1.5 ≤ x ≤ 0.5. Find the area of the region enclosed by the graphs of f and g. (Total 6 marks) 2. Let f(x) = Aekx + 3. Part of the graph of f is shown below. The y-intercept is at (0‚ 13). (a) Show that A =10. (2) (b) Given that f(15) = 3.49 (correct to 3 significant figures)‚ find the value of k. (3) (c) (i) Using your value of k‚ find f′(x). (ii) Hence
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Did free trade help or hinder British economic growth in the period down to 1914? Despite the highly favourable views that many neo-classical economistshold on the concept of free trade and its contribution towards economic growth‚ the backlash against free trade’s effect on economic growth during the British Victorian period continues unabated. The term ‘free trade’ can be defined as “the unrestricted purchase and sale of goods and services between countries without the imposition of constraints
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I found that the first paragraph about how important it is to have a will most effective. I found this paragraph most effective because the writer had rhythm and variety in the paragraph. The writer because he had rhythm and variety his information flowed. The writer stated facts about how important it is to have a will. I believe it is very important to have a will. When my grandmother passed all her belongings went to my uncle. I never received the belongings she had told me she was leaving me
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REGIONAL AND SOCIAL VARIATION IN BALI BY: I MADE PUTRA WIDIASMARA 1101305047 ENGLISH DEPARTMENT‚ FACULTY OF LETTERS AND CULTURES‚ UDAYANA UNIVERSITY 2014 1. Introduction 1.1 Background "The term sociolinguistics is used generally for the study of the relationship between language and society" (Yule‚ 2006‚ p.205). Sociolinguistics is a branch of applied linguistics which studies the language in relation to social elements; it is the study of relationships between language and social and cultural
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Introduction The objective of this experiment is to combine Magnesium (Mg) with hydrochloric acid (HCl) to determine the molar volume of hydrogen gas (H2) (converted to the molar volume at STP) and then‚ to compare obtained results with the molar volume of an ideal gas. To determine the measured molar volume of hydrogen gas‚ we are going to use this equation: The molar volume of the ideal gas will be determined by the equation ‚ where T = 237 K‚ P = 101.3 kPa. The hydrogen gas will be collected
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Incremental | Comparative Advantage | High-tech and service | Manufacturing | Policies | Deregulation‚ anti-trust‚ tax-break | Encourages information sharing and collaboration of firms | Example | USA‚ UK | Scandinavian countries‚ Germany | Varieties of Capitalism - Peter A. Hall and David Soskice (cfr. slides) Capitalism differs. Firms operate in different environments. This difference translates in different strategies. (“Companies tend to gravitate towards strategies that best fit …”.)
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Training Variation: Periodization What is Periodization? - The theory with periodization can be taken from the general adaptation theory‚ which says that systems will adapt to any changes they might experience in an attempt to meet the demands of the stressors. Therefore‚ the goal of periodization is to "overload" the neuromuscular system to allow the body to adapt to unaccustomed loads or stressors. In the past resistance training routines as well as conditioning programs were primitive‚
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Adaptation and Variation of Romans 6 - Final So‚ how should Christians respond to this good news about grace through Jesus Christ? Should we sin even more so that we can boast about the forgiveness that we have in Christ? No way! That’s ridiculous! If Christ has set us free from the hold of sin‚ then why would we continue to live in it? We must realize that once we believed and received Christ‚ we’ve identified ourselves with his death and his resurrection. In other words‚ as believers
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Skittles. Is this free will? What if she had wanted to buy marijuana‚ but that was not there because it is illegal? Is that still free will? Or is someone or something controlling the choices she makes? Or how about this case. Joe gets arrested for stealing. He goes to jail without having the option to say no. Is this free will? Well‚ it was free will when Joe was stealing. Joe chose to steal‚ therefore he received the punishment‚ which was made clear in laws for that county. Yes‚ that is free will. But
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Whereas‚ the problem of KDML105 variety‚ the improvement of the local variety that has good quality and is not sensitive to light is the important target of Rice Improvement Project (Vanavichit et al‚ 2003). This improvement has led to the breeding of a new aromatic rice variety that can grow in irrigated areas with sufficient water for rice growing through the year. There was successful in 1997‚ when the Department of Agriculture certified three other cultivars of aromatic rice‚ namely‚ KlongLuang
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