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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EFFECT OF ORGANIC AND INORGANIC FERTILIZER ON OKRO CHAPTER ONE (1) 1.1 INTRODUCTION Okra was domesticated in West and Central Africa (Cobley and Steele‚ 1976) and known as ‘Okro’ in the Anglophone African countries as a fast growing common annual vegetable widely consumed in Africa (Schippers‚ 2000). It is one of the numerous vegetable crops cultivated in Nigeria (Anon‚ 1989) where a total of 1 – 2 million hectares
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Alum Synthesis: The Chemical Process of Recycling Aluminum Introduction By recycling aluminum cans‚ the costs and energy savings are dramatically more resourceful and efficient than producing aluminum from what it is naturally found in‚ bauxite ore. The process of recycling aluminum to produce potassium aluminum sulfate‚ a common alum‚ will be done through a serious of chemical reactions. Through this reaction‚ percent yield will be determined. Materials and Methods The mass of a 250 mL
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Warsaw School of Social Sciences and Humanities Institute of English Studies Aleksandra Wiwała Student’s book no.: 22602 Different aspects of freedom in The French Lieutenant ’s Woman by John Fowles Term Paper First Cycle Degree Programme English Philology‚ specialization: cultural studies The paper written under the supervision of Mikołaj Wiśniewski‚ PhD Warsaw‚ January 2012 Introduction “Lock up your libraries if
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The Science of Sex Appeal: Survey 1. How old are you? 2. What is your gender? 3. What is your sexual preference? (men‚ women‚ both or none) 4. Where are you from? (city) 5. What is your religion? (optional) 6. Are you in a relationship? If so‚ for how many years? 7. In your opinion‚ do you tend to date men/women that look similar? If so‚ explain. 8. Since birth‚ how many years have you lived with your mother? 9. Since birth‚ how many years have you lived with your father? 10. What color are
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The Appeal Of Adrienne Rich’s Poetry The poems of Adrienne Rich spoke to me in a powerful way. She was definitely one of the most original and thought provoking poets on my course. The poems that I have studied represent many of the new ideas that emerged during her life. Not only do I find these ideas interesting‚ but I believe that I have benefited directly from them. Her feminist outlook on life is evident in every one of her poems. The poems i have studied include; Living in Sin‚ Aunt Jennifer’s
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As humans‚ we are driven by forces of inherited behavior and instinct that has been passed down through thousands of years of evolution. We are genetically programmed to look for qualities in another person that we think would result in the best offspring. There are certain queues given off by the opposite sex that the brain subconsciously processes and then computes. From the way that person walks to the way their face is shaped‚ our brain is constantly processing the people we come in contact with
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In modern day‚ man does not truly think about how much the earth means to life. On the contrary‚ humans aspire to cease Mother Nature’s beauty with the replacement of modern day cities made up of synthetic nature. Since the dawn of the twentieth century‚ a major theme in the American Arts has been the protest against man’s destruction of the natural world. With this in mind‚ as very well argued in Chief Seattle’s article “Respect”‚ humans fail to be conscious of the physical and sentimental value
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aqueous solution of formaldehyde is called formalin. The commercially available formalin has 10 to 12% methanol with a few impurities like aluminum and copper. Almost 21 million tonnes of formaldehyde is produced annually all around the world. Synthesis of Formaldehyde Formaldehyde is produced by catalytic oxidation of methanol. A mixture of molybdenum and iron or silver is used as a catalyst in such a reaction. But a more commonly used process is FORMAX. In this process‚ methanol and oxygen
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The 15th of August has its own importance for us Indians. It was on this day in 1947 that India became independent. We won freedom after a hard struggle. On this day our first Prime Minister‚ Pandit Jawaharlal Nehru‚ unfurled the National Flag at the Red Fort for the first time All the people irrespective of their caste‚ colour and creed celebrate the day every year amidst great rejoicing. It is a public holiday. On this day we take a pledge to defend our freedom with all our might. The Independence
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