✎ ✍ 5.2 ✌ Cramer’s 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
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Alumina Yield in the Bayer Process; Past‚ Present and Prospects Edited by TMS (The Minerals‚ Metals & Materials Society)‚ 2007 ALUMINA YIELD IN THE BAYER PROCESS PAST‚ PRESENT AND PROSPECTS Roelof Den Hond1‚ Iwan Hiralal2‚ Ab Rijkeboer3 Alcor Technology‚ Clinckenburgh 10‚ 2343 JH Oegstgeest‚ The Netherlands 2 Hiracon‚ Prinses Irenelaan 2‚ 2273 DD Voorburg‚ The Netherlands 3 Rinalco‚ Helmlaan 16‚ 2244 AZ Wassenaar‚ The Netherlands 1 Keywords: hydrate‚ alumina‚ yield‚ liquor productivity
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Assignment #3 BLAW 502 (Summer Class I‚ 2013): The Richard Spellman Case Total word count: 1724 1) Is there any need for Spellman to wade through the draft documents? (224 words) There is definitely the need for Richard Spellman to go through the draft documents. He needs to ensure that the employment deal that he had discussed with Walt Sawyer was in fact what the contract spelled out and that all information that has been exchanged informally‚ has been taken into consideration on the formal
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Yield of CuCl2.2DMSO Formula weight (Mr) of CuCl2 = 63.55 + (35.45 x 2) =134.45g/mol Formula weight of product CuCl2.2DMSO = 134.45 + 2[16 + 32.06 + (12.01 x 2) + (1.0079 x 6)] = 290.704g/mol Mass of CuCl2= 0.850g Equation for reaction CuCl2 + 2DMSO -> CuCl22DMSO Mole ratio between CuCl2 and CuCl22DMSO = 1:1 Mole of CuCl2 = Mass/ Mr = 0.850/134.45 = 0.00632 moles Since the ratio between CuCl2 and CuCl22DMSO = 1:1‚ mole of CuCl2DMSO is also 0.0063 moles. To find theoretical yield of CuCl2
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September 17th @ 10:15am M/C Questions 1 – 15‚ pp. 113-4 (30 pts. total – 2 pts. ea.) 1. c 2. a 3. d 4. b 5. d 6.a 7.d 8. b 9. c 10. a 11. d 12. b 13. a 14. d 15. b T/F Questions 1 – 12‚ p.115 (12 pts. total – 1 pt. ea.) 1. f 2. t 3. t 4. f 5. f 6. t 7. f 8. t 9. t 10.f 11. f 12. t Algorithm Workbench #1 - #7‚ pp.115-6 – Write pseudocode (not Java) (21 pts. total) 1. Module Main() Declare userNum as Integer Display "Enter a number" input userNum
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VOL. 23‚ NO. 1‚ JANUARY 2008 Thyristor-Controlled Reactors Nonlinear and Linear Dynamic Analytical Models J. E. R. Alves‚ Jr.‚ Senior Member‚ IEEE‚ Luiz A. S. Pilotto‚ Senior Member‚ IEEE‚ and Edson Hirokazu Watanabe‚ Senior Member‚ IEEE Abstract—This work presents the development of analytical models for thyristor-controlled reactors (TCRs). A nonlinear model for the TCR was developed based on the use of Generalized Switching Functions and from this model‚ a detailed linear model was derived
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write a method called sum with a while loop that adds up all numbers between two numbers a and b‚ inclusive‚ and returns the sum as its result. The values for a and b can be passed to the sum method as parameters. For instance: sum(1‚ 5) would return the value 15 (i.e.‚ 1 + 2 + 3 + 4 + 5). What happens if the value of the second parameter is less than the value of the first? public int Sum (int a‚ int b) { int sum = 0; while (a < b) { sum += a; a++; } Sum += b; return sum ; } Exercise
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Linear B At a In this essay I shall discuss and ancient script known as linear B. According to (Violatti‚ 2015) “Linear B Script was the writing system used by the Mycenaean civilization.” It is believed to be one of the oldest preserved forms of writing in Greek that is known of. Many of these ancient scripts that are found in today’s world remain undeciphered‚ meaning no one has yet found out the meaning of these writings. This also includes the writing system simply known as Linear A. Both Linear
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|Sales Forecast in a Foundry Fab- A linear time series approach | |D9516914/羅振宇 | 1. Introduction Sales forecasting plays a crucial corporate role because it provides the basis for company-strategic decisions‚ including capacity preparation‚ inventory level‚ and capital expenditure
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I V E -T Y P E Q U E S T I O N S QUANTITATIVE APTITUDE Questions asked in XLRI Examination held on January 9‚ 2005 Directions: In each question below‚ choose the correct alternative from the four options provided. 1. Last year Mr Basu bought two scooters. This year he sold both of them for Rs 30‚000 each. On one‚ he earned 20% profit‚ and on the other he made a 20% loss. What was his net profit or loss? (A) He gained less than Rs 2000 (B) He gained more than Rs 2000 (C) He lost less than Rs 2000
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