Integral calculus is the study of mathematical integration dealing with integrals. These integrals‚ also known as area under the curve‚ are used to determine the following: areas‚ volumes‚ and lengths. There are a multitude of areas of real-world mathematics to which integral calculus is used. Integration is most often applied in physics‚ biology‚ and even chemistry. Integration is applied to physics in many situations. One important situation is finding the moment of inertia. The moment of inertia
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x+7. Now multiple x-6 and x+2 to get x^2-4x-12. Take that answer and multiply it by the third factor‚x+7 and it would result with x^3+x^2-28x-12x-84. Combine like terms and the polynomial function is f(x) = x^3+x^2-40x-84. 2. Using both fundamental Theorem and Descartes` rule of signs‚ prove to the construction foreman that your function matches your graph. Use complete sentences. Answer: Using Descartes’ Rule of Signs can determine the possible numbers of solutions to the equation. By looking at f(x)
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Dividend policy Dividend policy is concerned with taking a decision regarding paying cash dividend in the present or paying an increased dividend at a later stage. The firm could also pay in the form of stock dividends which unlike cash dividends do not provide liquidity to the investors‚ however‚ it ensures capital gains to the stockholders. The expectations of dividends by shareholders helps them determine the share value‚ therefore‚ dividend policy is a significant decision taken by the financial
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54)2 x 0.78 = 8.4084 c. cov (W‚V) = = E [(W-)(V-)] = (3 – 7.2)(20 - 14.54) x 0.15 + (3 –7.2)(13-14.54) x 0.15 + (9 – 7.2)(20 – 14.54) x 0.07 + (9 - 7.2)(13 – 14.54) x 0.63 = -3.528 corr (W‚V) = = = - 0.4425 2.14 Apply the central limit theorem‚ we have N (‚ ) ‚ with = 100 and = /n = 43/n a. Pr ( 101) = Pr ( ) = Pr (Z 1.525) (1.525) = 0.9364 b. Pr ( > 98) = 1 – Pr ( 98) = 1 – Pr ( ) = 1 – Pr (Z-3.9178) 1 - (-3.9178) 1 c. Pr (101 103) = Pr ( ) Pr (Z3.66) (3.66) – (1
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Memorandum Subject: Regression to the Mean with Coin Flips This paper discusses the statistics project‚ Regression to the Mean with Coin Flips. The paper is divided into four parts‚ which are summarized below: Part One: The Questionnaires This section summarizes the results of questionnaires handed out to a random sample of 110 people. Pie charts are provided‚ which reflect the responses to each question. Part Two: 200 Flips This section discusses the outcome of flipping a normal coin two-hundred
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The life And Times of A Rebellious Irish Hero Bobby Sands Sands was born into a Catholic family in Abbots Cross‚ Newtownabbey‚ County Antrim‚ Northern Ireland‚ and lived there until 1960 where the family moved to Rathcoole‚ Newtownabbey. On his release from prison in 1976‚ he returned to his family home in West Belfast‚ and resumed his active role in the IRA’s campaign. He was charged with involvement in the October 1976 bombing of the Balmoral Furniture Company in Dunmurry‚ although he was never
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are with weight above 8oz and probability of package to be underweight is less than 0.0063 % (more than 4 STD from the mean) z=(8-8.49)/STD/SQRT/(5) Potential fine for underweight package is practically nonexistent. (We apply the Central Limit Theorem) Disadvantages: Based on the higher fill target every pie is filled with additional 0.22oz of macaroni and cheese‚ which add a significant cost. The annual impact is 0.22oz* 60‚000*12 (dozens)*12(months) = 1‚900‚800 oz. The cost is 1‚900‚800*1.82/8
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www.sciedu.ca/ijfr International Journal of Financial Research Vol. 3‚ No. 4; 2012 Market Value of the Firm‚ Market Value of Equity‚ Return Rate on Capital and the Optimal Capital Structure Chao Chiung Ting Michigan State University‚ USA E-mail: tingtch7ti@aol.com Received: September 4‚ 2012 doi:10.5430/ijfr.v3n4p1 Abstract The firm should pursue both maximum return rate on capital and maximum return rate on equity simultaneously. Maximum return rate on capital is the primary goal for firms
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There were very little opportunities for women in education in the eighteen century. "Women were considered to be incapable of abstraction‚ generalization‚ or the mental concentration necessary to comprehend such subjects as mathematics and the physical sciences‚ "(Osen pg51). There have been women who have made significant contributions to the mathematical and science world. The first of the five women in the eighteen century is Emilie du Chatelet. She was born on December 17‚ 1706. Her
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CALCULATOR SECTION 1. For find at the point (3‚ 4) on the curve. A. B. C. D. E. 2. Suppose silver is being extracted from a mine at a rate given by ‚ A(t) is measured in tons of silver and t in years from the opening of the mine. Which is an expression for the amount of silver extracted from the mine in the first 5 years of its opening? A. B. C. D. E. 3. Joe Student ’s calculus test grades (G) are
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