1.INTRODUCTION: The mathematician Diophantus of Alexandria around 250A.D. started some kind of research on some equations involving more than one variables which would take only integer values.These equations are famously known as “DIOPHANTINE EQUATION”‚named due to Diophantus.The simplest type of Diophantine equations that we shall consider is the Linear Diophantine equations in two variables: ax+by=c‚ where a‚b‚c are integers and a‚b are not both zero. We also have many kinds of Diophantine
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million/6.023 X 1023 based on the number of atoms in 12g carbon) and called it the mole. To put this into perspective‚ one mole of marbles would form a layer 1500km deep over the U.K. and Ireland. A mole is a quantity that you could see. Lesson 1 Content Using Ar‚ Mr to find Molar mass in order to
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DIFFERENTIAL EQUATIONS 2.1 Separable Variables 2.2 Exact Equations 2.2.1 Equations Reducible to Exact Form. 2.3 Linear Equations 4. Solutions by Substitutions 2.4.1 Homogenous Equations 2.4.2 Bernoulli’s Equation 2.5 Exercises In this chapter we describe procedures for solving 4 types of differential equations of first order‚ namely‚ the class of differential equations of first order where variables x and y can be separated‚ the class of exact equations (equation
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The Chihuahuan desert is large area of the northern Mexico and runs into the southern part of the United Stated which include west Texas. The region of the desert has a high altitude of 1000 to 1500 meters which fall to about 350 meters along the Rio Grande River. Summers are very hot and the winter are somewhat cool‚ which some night frosts. Rainfall in this area is about 20-30 cm which mostly happens during the summer time. In most of the Chihuahuan Desert most of it has calcareous soil that
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Kinematic Derivation of the Wave Equation http://prism.texarkanacollege.edu/physicsjournal/wave-e... KINEMATIC DERIVATION OF THE HARMONIC WAVE EQUATION AND RELATED TOPICS An extremely important type of wave in physics is the harmonic wave. This is a wave consisting of propagating simple harmonic oscillations or linear combinations thereof. Attach a weight to a spring and hang the spring so the weight is free to move. Then lift the weight straight up and release it; it will oscillate up and down
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this: 1 LIST OF SYMBOLS Symbol Description Unit T Temperature K ΔP Pressure Drop Pa ρ Density kg/m3 µ Kinematic Viscosity N*s/m2 V Bulk Velocity m/s D Diameter m A Area m2 Flow Rate m3/s Re Reynolds Number - f Friction Factor - L Length m 2 CALCULATIONS For the sample calculations‚ we looked at the first sample point of the flow in Pipe 1‚ the smallest diameter smooth copper tube: The
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2/20/2014 Frequently Used Equations - The Physics Hypertextbook Frequently Used Equations Mechanics velocity Δ s v= Δ t ds v= dt acceleration Δ v a= Δ t dv a= dt equations of motion v = 0+at v x =x0+v 0 +½ 2 t at weight W =m g momentum p =m v dry friction ƒ μ =N centrip. accel. v2 ac = r 2 ac =−ω r impulse J =F Δ t impulse–momentum F Δ= Δ t m v J =⌠ dt F ⌠ dt =Δ F p ⌡ kinetic energy potential energy ⌡ K =½ mv
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The Maxwell equations Introduction:- One of Newton’s great achievements was to show that all of the phenomena of classical mechanics can be deduced as consequences of three basic‚ fundamental laws‚ namely Newton’s laws of motion. It was likewise one of Maxwell’s great achievements to show that all of the phenomena of classical electricity and magnetism – all of the phenomena discovered by Oersted‚ Ampère‚ Henry‚ Faraday and others whose names are commemorated in several electrical
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08.03 Factoring Trinomials x2 + bx + c Part 1 Factor each trinomial below. Please show your work and check your answer. (1 point each) x2 – 8x + 15 (x - 3) (x -5) x^2 - 5x - 3x +15 x^2 -8x + 15 a2 – a – 20 (a +4)(a-5) a^2 -5a +4a -20 a2 + 12ab + 27b2 (a +9b)(a +3b) a^2 + 3ab +9ab + 27b^2 2a2 + 30a + 100 (2a + 10)(a + 10) 2a^2 +20a +10a + 100 Part 2: (5 points) It’s your turn to be a game show host! As you know‚ in the game of Math Time‚ the contestants
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Question 1 (a)(i) Historical Cost The historical cost concept can be defined as assets and liabilities that must be recorded at historical cost which is the fair value of the given acquired item at the time of acquisition or the amount of proceeds received in exchange for the obligation at the time of the transaction. Example: 1. One month ago‚ Company ABC purchased 10 units of an item at RM12 per unit. The price today is RM13 per unit. Using the historical cost concept‚ the inventory shall
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