Rule Introduction Cramer’s rule is a method for solving linear simultaneous equations. It makes use of determinants and so a knowledge of these is necessary before proceeding. 1. Cramer’s Rule - two equations If we are given a pair of simultaneous equations a1 x + b1 y = d1 a2 x + b2 y = d2 then x‚ and y can be found from d1 b1 d2 b2 a1 b1 a2 b2 a1 d1 a2 d2 a1 b 1 a2 b 2 x= y= Example Solve the equations 3x + 4y = −14 −2x − 3y = 11 Solution Using Cramer’s rule we can write the solution
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Expressions of Identity and Rites of Passage in Asian Culture Poetry can be acknowledged as a form of art. Art is the product of a combination of elements that allure to the humans’ senses and emotions‚ which also describes the intent of poetry. Poetry uses a combination or selection of the elements‚ theme‚ voice‚ tone‚ setting‚ imagery‚ figures of speech‚ and symbolism to accomplish its impact upon the reader. It can express the emotions of life from those happy to those that are painful. Many
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her poetry. In other words‚ her poems are ponderings upon the unfortunate state of women in a male dominated society. Among the Indian English poets of her generation‚ male or female‚ she has maintained the shortest interval between emotion and expression. Her tone is always exact and 4rhythm of her lines is strictly under her control although it does not follow any given convention. Kamala Das’s poem
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9/30/2012 AP Chemistry Lab Report I. Introduction: a) Title: The Establishment of a Chemical Equation Using the Method of Continuous Variation. b) Purpose: the continuous variation method is used to establish a chemical equation by displaying on a line graph the change/difference in temperature caused by the composition of acids and bases in the solution. II. Apparatus and Materials: A) Goggles
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In this lab‚ theoretical chemical equations of ionic compounds were balanced by the group to determine ratios of reactants and products. The products were determined by the group through switching the cation with their anion partner. Using this information‚ it was determined by the group‚ whether the reaction should result in a solid‚ gas‚ or water based on theoretical solubility. Then several experiments testing the reaction of these ionic compounds were performed by the partners. Two ionic compounds
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Facial Expression Using 2D and 3D Animation Dr. S. Balasubramanian G. Prakash Research Supervisor Research Scholar Anna University Coimbatore Anna University Coimbatore Coimbatore‚ India Coimbatore‚ India E-mail: s_balasubramanian@rediffmail.com Computer facial animation is primarily an area of computer graphics that encapsulates models and techniques for generating and animating images of the human head and face. Due to its subject and output type‚ it is also related to
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Tables of Experimental Data ▪ 3.2 Graphs of Various Forces on various designs 4. Conclusion and Recommendation 5. References 6. Appendix Abstract The impact of jet experiment is to demonstrate and verify the integral momentum equation.[1]. In lay man terms‚ it’s another way to understand fluid pressure by using the pressure to accelerate the fluid to a plate by a high velocity in a jet which in result will generate force due to impulse. The graph will show forces against momentum
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requires the augmented matrix A|b as input. In this worksheet this matrix is called Ab and is formed using <A|b> > Ab:=<A|b>; The row echelon form H|c (here called Hc) of Ab is computed by GaussianElimination. (For a square system of equations the row echelon form of A is upper triangular ) Note that the Maple function GaussianElimination performs a systematic version of the idea of elementary row operations: (i) Multiples of R1 are subtracted from R2‚ R3 . . Rn to reduce the elements
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Implementations of: Finite automata Regular expression Pushdown automata Engineering applications of finite automata The study of automata has been acquiring increasing importance for engineers in many fields. For some time‚ the capabilities of these automata have been of the greatest interest to logicians and mathematicians. However‚ the expanding literature on the use of finite automata as probabilistic models demonstrates the growing
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“Let me take a Selfie”: Narcissism or self-expression? In the 21st century‚ it is undeniable that selfies on social media sites has captured public attention and became such a major part of popular culture‚ especially among teenagers. In fact‚ selfie has become an obsession among generation Y and it is still arising problem in Malaysia. Selfies are defined as‚ “A photograph that one has taken of oneself‚ normally with a smartphone or webcam and shared via social medias” in Oxford Dictionary. In
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