instructional videotape on how to predict the position. Therefore‚ in order to make the prediction accurate‚ how the horizontal and vertical components of a ball’s position as it flies through the air should be understood. This experiment is to calculate functions to represent the horizontal and vertical positions of a ball. It does so by measuring and calculating the components of the position and velocity of the ball during the toss. Therefore‚ we can also calculate the acceleration during the procedure
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MA1506 TUTORIAL 1 1. Solve the following differential equations: (a) x(x + 1)y = 1 (b) (sec(x))y = cos(5x) (c) y = e(x−3y) (d) (1 + y)y + (1 − 2x)y 2 = 0 Use www.graphmatica.com to sketch the functions you found as solutions of [a]-[d]‚ if y = 1/2 at x = 1. Graphmatica can also directly sketch the graph if you insert the equation itself; for example‚ in [a] you just enter x(x + 1)dy = 1 {1‚ 1/2}. [curly brackets for the initial conditions‚ with x followed by y.] Here dy represents
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Closed system growth curve Closed System Growth Curve Lab Report PURPOSE Bacteria grown in a closed system show a specific growth pattern called the growth curve which consists of four phases. The lag phase‚ which is a period of slow growth; exponential phase‚ period of maximum growth; stationary phase‚ where nutrients become the limiting factor making the growth rate equal to the death rate and the death phase where organisms die faster than they are replaced. It is important to know how fast
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the switch is closed q ε − iR − = 0 C (1) where q/C is the potential difference between the capacitor plates. We can rearrange this equation as iR +q/C = ε (2) The above equation contains two variables‚ q and i‚ which both change as a function of time t. To solve this equation we will substitute for i dq i= dt (3) dq q R + =å (4) dt C This is the differential equation that describes the variation with time of the charge q on the capacitor shown in Fig. 1. This dependence can
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page 106 (Chapter 3) of Text Book Heizer‚Render & 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
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Sue is an exponential discounter. Her discount function which illustrates her preference for money at various points in time is characterized as follows: ∂(t) = 1/(1.07)t for t = 0‚1‚2‚ ... Bob on the other hand is a hyperbolic discounter. His discount function is: ∂(t) = 1 for t = 0 = .8/(1.03)t-1 for t = 1‚2‚ ... a. What would Sue/Bob rather have: $1 today or $1.10 next year? Explain. Sue’s preference for money For t = 1‚ ∂(t)= 1/(1.07)1 = 0.93 P = 1/∂
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employee equally and with respect. A good manager looks to his people for input on issues causing problems and for ideas to improve overall functionality. I would be a good manager because I would always make sure that I was knowledgeable about each function in the department. I would treat each person in the department equally and with respect. I would listen to the individual and try to improve the department with information that I receive from people doing the actual job every day. I would lead my
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maintaining and repairing a car? (Ans: 374) 4. The time to failure of a component in an electronic device has an exponential distribution with a median of four hours. Calculate the probability that the component will work without failing for at least five hours. (Ans: 0.42) 5. A company has two electric generators. The time until failure for each generator follows an exponential distribution with mean 10. The company will begin using the second generator immediately after the first one fails
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c. 0.16 m d. 0.32 m 10. The period of motion is a. sec b. sec c. sec d. sec 11. The equation of the line normal to the curve defined by the function at the point (1‚6) is: a. b. c. d. 12. The Laplace transform of the step function of magnitude a is: a. b. c. d.
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INTRODUCTION TO OPERATIONS MANAGEMENT Spring 2012-ASSIGNMENT # 1 Name 1: --------------------------------------------------- ID # ------------------------------------------------ Name 2: --------------------------------------------------- ID # ------------------------------------------------ Question # 1 [15 Marks] Bob Richards‚ the production manager of Zychol Chemicals‚ is preparing his quarterly report‚ which is to include a productivity analysis for his department. One of the inputs
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