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    Life

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    properities‚ infinite series‚ non-negative series‚ integral test‚ comparison test‚ ratio test‚ root test ‚ alternating series‚ absolute convergence‚ conditionally convergence ‚ power series‚ taylor series‚ polynomial approximation and taylor’s theorembinomial series. Thirdly‚ conic Sections: a) The porabola b) The ellipes c) The hyperbola ‚ d)Rotation of axes : The dot product‚ the cross product‚ lines in space‚ planes in space.

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    Joseph-Louis Lagrange

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    for Lagrange he did not have the benefit of studying with the leading mathematicians‚ so he became self-motivated and was self-taught. Then in 1754 he got the opportunity to publish his first mathematical work‚ which was an analogy between the binomial theorem and the successive derivatives of the product functions. Lagrange sent some of his works to Euler and impressed him greatly. Euler was so overcome that by his work that he appointed Lagrange professor of mathematics at the Royal Artillery School

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    ENGINEERING MECHANICS

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    Concept based notes Engineering Mechanics B.Tech. First Semester Mohit Kumar Dotoliya B.Tech. Asst. Prof. Biyani International Institute of Engg. & Tech.‚ Jaipur For More Detail: - http://www.gurukpo.com Published by :  Think Tanks  Biyani Group of Colleges        Concept & Copyright :  ©Biyani Shikshan Samiti  Sector‐3‚ Vidhyadhar Nagar‚  Jaipur‐302 023 (Rajasthan)  Ph : 0141‐2338371‚ 2338591‐95 • Fax : 0141‐2338007  E‐mail : acad@biyanicolleges.org  Website :www

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    Deeper Understanding‚ Faster Calculation --Exam P Insights & Shortcuts 2nd Edition by Yufeng Guo For SOA Exam P/CAS Exam 1 in Fall‚ 2005 Exam Dates September 26-28‚ Canada and U.S. September 26 - all other countries This manual was last updated June 5‚ 2005 This electronic book is intended for individual buyer use for the sole purpose of preparing for Exam P. This book can NOT be resold to others or shared with others. No part of this publication may be reproduced for resale or multiple

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    SAMPLING DISTRIBUTIONS |6.1 POPULATION AND SAMPLING DISTRIBUTION | |6.1.1 Population Distribution | Suppose there are only five students in an advanced statistics class and the midterm scores of these five students are: 70 78 80 80 95 Let x denote the score

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    CHEMISTRY“Do or Die” Chapters | | | | Chemical Kinetics Start Practice | Chemical Bonding Start Practice | Transition Elements (d a... Start Practice | s-block Elements Start Practice | General Organic Chemistr... Start Practice | p-block Elements Start Practice | Redox Reactions Start Practice | Ionic Equilibrium Start Practice | Chemical Equilibrium Start Practice | Coordination Compounds Start Practice | | | "Should Do" Chapters | Carboxylic Acid

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    jhjhu

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    Young’s theorems. Euler’s theorem on homogenous functions. Taylor’s theorem for functions two variables and error estimation. Maxima and Minima‚ Lagrange’s multiplier method. SECTION-B Scalar and vector fields‚ differentiation of vectors‚ velocity and acceleration. Vector differential operators: Del‚ Gradient‚ Divergence and Curl‚ their physical interpretations. Formulae involving Del applied to point functions and their products. Line‚ surface and volume integrals‚ Greens Theorem in the Plane

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    of choosing n − 1 out of n + k − 1 which equals C(n + k − 1‚ n − 1) = C(n + k − 1‚ k). Lemmas I.14 and I.15 yield Theorem I.13. So we see that the number of ways of placing 5 indistinguishable balls in 3 boxes‚ is the number of ways of choosing 5 out of 3‚ without regard to order and with repetitions allowed is C(3 + 5 − 1‚ 2) = C(7‚ 2) = 7!/(5!.2!) = (7.6)/2 = 21. (So to apply Theorem I.14 we take n = 3 and k = 5.) A final interesting remark‚ connected with the first part of this

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    iterations. Iterative methods Regular-falsi method: Like the bisection method‚ the false position method starts with two points a0 and b0 such that f(a0) and f(b0) are of opposite signs‚ which implies by the intermediate value theorem that the function f

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    Mersnne’s meetings. Mersenne was known for his work in number theory and was idolized by many scientists and mathematicians. At the age of sixteen‚ Pascal presented a piece of paper at one of the meetings‚ which conained a number of projective geometry theorems‚ including Pascal’s mystic hexagon. Many people were amazed. Blaise showed a very keen interest in mathematics‚ and went on to publish a highly appreciated treatise called "Essay on Conic Sections." Conic sections deal parabolas‚ hyperbolas‚ and

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