Date: 29/06/2009 . Bernoulli’s Law Name: Hibah Ismail . Section: 1 . Partner’s Name: Mohammad Kanso . A) Drag Coefficient What happens when you give the ball a gentle sideways push? Why? When we give the ball a gentle sideways push‚ it returns to its initial position above the fan. The air particles around the fan have a velocity equal to zero since they are still air. Therefore‚ the velocity of the
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Test at the 2.5% significance level if B is negative. 3. It is believed that the annual repair cost (in RM) for a car‚ y ‚ is related to its age (in years)‚ x. The simple linear regression and correlation analysis is performed to a sample of 10 cars. The simple linear regression line is = 65.0467+11.3216 x and the linear correlation coefficient is r = 0.8674. a. What is the repair cost of a 6.25 year-old car? b. Given. Find the value of . c. Find the value of. d. Construct a 99%
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Guidebook Liu‚ S. T. and Kao‚ C. (2004) Solving Fuzzy Transportation Problems Based on Extension Principles Torrens‚ P. M. (2000) Mathematical Models: How Land-use and Transportation Models Work Yu‚ X. and Luo‚ C. (2009) An Improved Graph Method for Linear Programming.
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chapter we deal only with ordinary DEs‚ NOT partial DEs.] The order of a d.e. is the order of the equation’s highest order derivative; and a d.e. is linear if it can be put in the form any (n)(x)+an−1y (n−1)(x)+· · ·+a1y (1)(x)+a0y(x) = F‚ 1 where ai‚ 0 ≤ i ≤ n‚ and F are all functions of x. For example‚ y = 5y and xy − sin x = 0 are first order linear d.e.; (y )2 + (y )5 − y = ex is third order‚ nonlinear. We observe that in general‚ a d.e. has many solutions‚ e.g. y = sin x + c‚ c an arbitrary
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References: Algebra.com‚ (2013). Retrieved May 5‚ 2013 from http://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.707072.html Algebra in Real Life‚ (2013). Retrieved May 5‚ 2013 from http://www.ehow.com/how_5714133_use-algebra-real-life.html NASA‚ (2013). Retrieved May 5‚ 2013 from http://www.nasa.gov/pdf/514479main_AL_ED_Comm_FINAL
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Rajashekhar (a) Using exponential smoothing‚ with α = .6‚ then trend analysis‚ and finally linear regression discuss which forecasting model fits best for Salinas’s strategic plan. Justify the selection of one model over another. Answer: We have done forcasting using exponential smoothing and linear regression methods. Below are the forcast values: Method Exponential smoothing MAD 3.5 Linear Regression 10.6 Year 1 1 2 3 4 5 Forecast value 86.22 54.72 56.36 58 59
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2. (1.7; 7) Determine if the columns of the matrix form a linear independent set by the definition of linear independence. 1 4 −3 0 −2 −7 5 1 −4 −5 7 5 3. (1.7; 10) Let 1 −2 2 v1 = −5 ‚ v2 = 10 ‚ v3 = −9 −3 6 h (a) For what values of h is v3 in span{v1 ‚ v2}? (b) For what values of h is {v1 ‚ v2‚ v3} a linearly dependent set? 4. (1.8; 24) Suppose vectors v1 ‚ ...‚ vp span Rn‚ and let T : Rn → Rn be a linear transformation. Suppose T (vi ) = 0 for all i = 1‚ ...‚ p. Show
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Distributed lag non-linear models in R: the package dlnm Antonio Gasparrini and Ben Armstrong London School of Hygiene and Tropical Medicine‚ UK dlnm version 1.6.4 ‚ 2012-08-22 Contents 1 Preamble 2 Installation and data 2.1 Installing the package dlnm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Distributed lag non-linear models 3.1 The issue . . . . . . . . . . .
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problem is identified properly because this problem statement will indicate the following three major aspects: Q2. Explain the steps involved in linear programming problem formulation. Discuss in brief the advantages of linear programming. (Steps involved in LPP-4‚ Example-3 Advantages of LPP-3) 10 marks Answer. Steps of formulating Linear Programming Problem (LPP) The following steps are involved to formulate LPP : Step 1 : Identify the decision variables of the problem. Q3
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3 hours to do Submit doc or pdf (include code‚ figures) No set office hours but available by email • Requirements for passing Attend all lectures Complete all problem sets (-‚ √‚ +) • Prerequisites Basic familiarity with programming Basic linear algebra‚ differential equations‚ and probability Outline (1) (2) (3) (4) (5) Getting Started Scripts Making Variables Manipulating Variables Basic Plotting Getting Started • To get MATLAB Student Version for yourself » https://msca.mit.edu/cgi-bin/matlab
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