Faculty of Petroleum and Renewable Energy Engineering SKPU 1711 FLUIDS MECHANICS LABORATORY 2012 / 2013 - SEM 2 TITLE OF EXPERIMENT STABILITY OF FLOATING BODY (E2) SECTION 04 NO. | TEAM MEMBERS | MATRIC NO. | 1. | KHAIRUL AIZAT BIN SALEH | A11KP0088 | 2. | HAZIQ FIKRI BIN AHMAD ZUHARDI | A11KP0052 | 3. | FATIN FARHANA BT MOHD FADLULLAH | A11KP0070 | LECTURER NAME : DR GOH PEI SEAN DATE OF EXPERIMENT : 28th February 2013 DATE OF SUBMISSION : 7th March 2013
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Actuarial Common Entrance Test (ACET) The FAC course The Foundation Course consists of a set of eight chapters of notes covering the following ideas: Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Notation Numerical Methods I Mathematical constants and standard functions Algebra Numerical Methods II Differentiation Integration Vectors and matrices We recommend that you work through the sections that you are unsure of‚ completing the questions
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Objective To prove Distance formula = by experimentally Pre-knowledge We know Pythagoras Theorem Area of triangle Some Knowledge about coordinate Rules for signs of Co-ordinates Axes of Co-ordinates Geometrical Representation of quadratic polynomials Material Required Coloured Glazed paper Pair of scissors Geometry box Graph paper Drawing sheet Colour stick Pencil colour Fevistick/ Gum Procedure Let two points P(x1‚y1) and Q(x2‚y2) on graph sheet. And draw a set of perpendicular
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Using the same reasoning and methods‚ let’s simplify some rational expressions. • Simplify the following expression: To simplify a numerical fraction‚ I would cancel off any common numerical factors. For this rational expression (this polynomial fraction)‚ I can similarly cancel off any common numerical or variable factors. The numerator factors as (2)(x); the denominator factors as (x)(x). Anything divided by itself is just "1"‚ so I can cross out any factors common to both the numerator
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By: Victor Hui Introduction Leonhard Euler was a ground-breaking Swiss mathematician and physicist from the 1700’s. He made many revolutionary discoveries. However‚ the one that caught my eye was his solution to the Basel Problem in the year 1734. The Basel problem was initially posed by an Italian mathematician by the name of Pietro Mengoli in the early 1640’s. This problem baffled the even the greatest minds at the time. Branching from mathematical analysis‚ the Basel problem involved knowledge
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special products help us factor polynomials? Give examples. 1. Linear system in two variables can be written in the form: a x + b y = p c x + d y = q - If a‚ b‚ p – and – c‚ d‚ q are real numbers ( if a‚ b and c‚ d are not both equal to 0) - x and y are called two variables. 2. Linear system of inequality in two variables can be written in the form: a x + b y a x + b y p a x + b y p a x + b y p 3. The special products help us factor polynomials Difference of Squares: a2 −
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we can interpolate these points‚ i.e.‚ either find a polynomial of degree ≤ (n − 1) which passes through all n points or we can use a continuous piecewise interpolant of the data which is usually a better approach. How‚ it might be the case that we know that these data points should lie on‚ for example‚ a line or a parabola‚ but due to experimental error they do not. So what we would like to do is find a line (or some other higher degree polynomial) which best represents the data. Of course‚ we need
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Thin-Walled Structures 48 (2010) 879–887 Contents lists available at ScienceDirect Thin-Walled Structures journal homepage: www.elsevier.com/locate/tws Analytical solution to flexural responses of annular sector thin-plates Kyungsik Kim a‚ Chai H. Yoo b‚n a b Department of Civil and Environmental Engineering‚ Cheongju University‚ Cheongju‚ Chungbuk‚ 360-764‚ Republic of Korea Department of Civil Engineering‚ Auburn University‚ Auburn‚ AL 36849-5337‚ USA a r t i c l e in fo abstract
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Math 111 Homework 1 fall 2007 due 14/9 1. (1.2; 17) Determine the values of h such that the matrix is the augmented matrix of a system which admits a solution. 2 3 4 6 h 7 2. (1.2; 12) Find the general solutions of the system whose augmented matrix is 1 −7 0 6 5 0 0 1 −2 −3 −1 7 −4 2 7 1 −2 4 3. (1.3; 17) Let a1 = 4 ‚ a2 = −3 ‚ b = 1 . For what −2 7 h value(s) of h is b in the plane spanned by a1 and a2? 4. (1.4; 15) Let A = b1 2 −1 and b = . Show that the equation
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P.C. Chau © 2001 Table of Contents Preface 1. Introduction ............................................................ [Number of 10-point single-space pages -->] 3 2. Mathematical Preliminaries .................................................................................................. 35 2.1 A simple differential equation model 2.2 Laplace transform 2.3 Laplace transforms common to control problems 2.4 Initial and final value theorems 2.5 Partial fraction expansion 2.5.1 Case 1: p(s) has
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