Example 6.4: Application of General Equation for a Closed System Question A gas is contained in a cylinder fitted with a movable piston as presented in Figure E6.4.1. Figure E6.4.1: A cylinder fitted to a moving piston If the cylinder is placed in boiling water with the piston held in a fixed position‚ 5 kcal of heat is absorbed by the gas‚ which equilibrates at 150oC and a higher pressure. The piston is then released‚ and the gas does 250 J of work in moving to its new equilibrium position
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Chapter 7: Intro to Sampling Distributions Sampling Error = x̄ - μ Z-Values for a sampling distribution of x̄ : Z = Z-Values adjusted with Finite Population Correction Applied if: the sample is large relative to the population (n is greater than 5% of N) and sampling Is without replacement Z = Using the Sampling Distribution for Means Compute the Sample Mean Define the sampling distribution μx̄ = Define the probability statement of interest P(z30 will give sampling distribution that
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Doctor Gary Hall Differential Equations March 2013 Differential Equations in Mechanical Engineering Often times college students question the courses they are required to take and the relevance they have to their intended career. As engineers and scientists we are taught‚ and even “wired” in a way‚ to question things through-out our lives. We question the way things work‚ such as the way the shocks in our car work to give us a smooth ride back and forth to school‚ or what really happens to an
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Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations 1.0 Introduction In mathematics‚ if y is a function of x‚ then an equation that involves x‚ y and one or more derivatives of y with respect to x is called an ordinary differential equation (ODE). The ODEs which do not have additive solutions are non-linear‚ and finding the solutions is much more sophisticated because it is rarely possible to represent them by elementary function in close
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Checkpoint: Money Unit of account: This function of money means that money is used as the common foundation to determinate the prices of goods traded throughout the economy. Unit of account‚ or measure of value‚ means money is functioning as the measuring units for prices. In other words‚ prices of goods are claimed in terms of a common monetary unit. Unit of account lends meaning to losses and profitability. Currencies are usually used as a unit of account but objects can also be used‚ such
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CheckPoint: Forecasting Exercise 9.1 The following data represent total personnel expenses for the Palmdale Human Service Agency for past four fiscal years: 20X1 $5‚250‚000 20X2 $5‚500‚000 20X3 $6‚000‚000 20X4 $6‚750‚000 For moving averages and weighted moving averages‚ use only the data for the past three fiscal years. For weighted moving averages‚ assign a value of 1 to the data for 20X2‚ a value of 2 to the data for 20X3‚ and a value of 3 to the data for 20X4. Forecast personnel
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Lisa Brown Hsm/ 260 Week 5 – Forecasting Checkpoint 3/8/13 Exercise 9.1 20X1 $5‚250‚000 20X2 $5‚500‚000 20X3 $6‚000‚000 20X4 $6‚750‚000 Moving Averages 20X2-X4 $18‚250‚000 / 3 = $6‚083‚333 Weighted Moving Averages Fiscal Year Expenses Weight Weighted Score 20X2 $5‚500‚000 1 $5‚500‚000 20X3 $6‚000‚000 2 $12‚000‚000 20X4 $6‚750‚000 3 $20‚250‚000 __ ___________ 6 $37‚750‚000 20X5 $37‚750‚000 /6 = $6‚291‚667 Exponential Smoothing NF = $6‚300‚000
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Quadratic Equations Equations Quadratic MODULE - I Algebra 2 Notes QUADRATIC EQUATIONS Recall that an algebraic equation of the second degree is written in general form as ax 2 + bx + c = 0‚ a ≠ 0 It is called a quadratic equation in x. The coefficient ‘a’ is the first or leading coefficient‚ ‘b’ is the second or middle coefficient and ‘c’ is the constant term (or third coefficient). For example‚ 7x² + 2x + 5 = 0‚ 5 1 x² + x + 1 = 0‚ 2 2 1 = 0‚ 2 x² + 7x = 0‚ are all
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Associate Program Material Appendix H Repetition and Decision Control Structures In one of the week 3 discussion questions we discussed the algorithm that would be required to make a peanut butter sandwich. In this CheckPoint you will need to take that one step further and create a program design to make a peanut butter sandwiches. Below you will find a partial program design; you need to complete it by adding the pseudocode in the required areas. You need to add one repetition (loop) control
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quadratic equation is an equation that has a second-degree term and no higher terms. A second-degree term is a variable raised to the second power‚ like x2. When you graph a quadratic equation‚ you get a parabola‚ and the solutions to the quadratic equation represent where the parabola crosses the x-axis. A quadratic equation can be written in the form: quadratic equation‚ where a‚ b‚ and c are numbers (a ≠0)‚ and x is the variable. x is a solution (or a root) if it satisfies the equation ax2 +
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