where m0 is the rest mass of the particle and c is the speed of light in a vacuum. Find the inverse function of f and explain its meaning. Solution. We simply solve for v: m= m0 1− v 2 /c2 =⇒ m 1 − v 2 /c2 = m0 =⇒ m2 1 − v2 c2 = m2 0 m2 v2 =⇒ 1 − 2 = 0 c m2 =⇒ v2 m2 =1− 0 c2 m2 m0 m m0 m 2 =⇒ v 2 = c2 1 − 2 =⇒ v = ±c 1 − Our new function v(m) gives velocity v as a function of m. In particular‚ v(m) gives the velocity (as measured by a relatively stationary observer) that
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Logistics Outsourcing: Lessons from Case Studies Aldo Srabotiˇ c Mitja Ruzzier This paper investigates key success factors in logistics outsourcing. A model is used to illustrate outsourcing relationships and then applied to three examples from the logistics sector. The model is presented as a tool which can help managers to minimize the chance of failure by explicitly addressing key issues prior to the implementation of a partnership. In order to fully capture the complexity of the outsourcing
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Inverse In this week’s assignment‚ I will be solving functions with different values and variables. Many companies and businesses‚ use these methods to either make progress or to change something that will benefit their success. The first function is: (f – h)(4) f(4) – h(4) I multiplied 4 with each variable. f(4) = 2(4) + 5 The x is replaced with 4. f(4) = 13 I used the order of operation to evaluate this function. h(4) = (7 – 3)/3 I will repeat the steps that I used
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BUSINESS MATHEMATICS: ASSIGNMENT - “Section” 5.1‚ page 182. (1) Write the general form of a linear function involving five independent variables. (2) Assume that the salesperson in Example 1 (page 177) has a salary goal of $800 per week. If product B is not available one week‚ how many units of product A must be sold to meet the salary goal? If product A is unavailable‚ how many units be sold of product B? (3) Assume in Example 1 (page 177) that the salesperson receives a bonus when combined
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ROBERT C. LIEB BROOKS A. BENTZ The Use of Third-Party Logistics Services by Large American Manufacturers: The 2003 Survey Abstract This article reports the findings of a survey of large American manufacturers concerning their use of third-party logistics services. Data generated in the survey show that the use of such services by this group of companies continues to grow and that the service providers continue to deliver logistics cost and service improvements to their customers‚ both domestically
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and Logarithmic Functions 2.2 Logarithmic Functions MATH14 • Logarithmic Function with base b • Graph of Logarithmic Function • Natural Logarithmic Function • Properties of Logarithmic Functions • Exponential and Logarithmic Equations Logarithmic Function with base b Definition: The logarithmic function with base b is the inverse of the exponential function with base b. y logb x Note: Dom f if and only if x b y Rng f Logarithmic Function with base b Examples:
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HADNOUT E.13 - EXAMPLES ON TRANSFER FUNCTIONS‚ POLES AND ZEROS Example 1 Determine the transfer function of the mass-spring-damper system. The governing differential equation of a mass-spring-damper system is given by m x + c x + kx = F . Taking the Laplace transforms of the above equation (assuming zero initial conditions)‚ we have ms 2 X ( s ) + csX ( s ) + kX ( s ) = F ( s )‚ X ( s) 1 ⇒ = . 2 F ( s ) ms + cs + k Equation (1) represents the transfer function of the mass-spring-damper system. Example
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6-1 Inverse Trig Functions p. 468: 1-31 odd I. Inverse Trig Functions A. [pic] B. [pic] C. [pic] Find the exact value of each expression 1. [pic] 2. [pic] 3. [pic] 4. [pic] 5. [pic] 6. [pic] Use a calculator to find each value. 7. [pic] 8. [pic] 9. [pic] Find the exact value of each expression. 10. [pic] 11. [pic] 12. [pic] 6-2 Inverse Trig Functions Continued p. 474:1-41
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The use of 3rd party logistics firms and outsourcing supply chain strategies Introduction For the last couple of decades the interest in logistics alliances and third party logistics (3PL) has been growing in academics and industries. The common viewpoint is to consider 3PL as outsourcing of logistics activities. The aim of this paper is to take a complementary perspective by looking at 3PL as an insourcing of resources. It means the shipper gets access to the providers’ resources. Matthias
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Student Activity A Generic Function Use the generic graph of f(x) with domain [–6‚ –3] and [–2‚ 6] to answer the questions below. 7 Y 6 5 4 3 2 1 X -7 -6 -5 -4 -3 -2 -1 0 -1 1 2 3 4 5 6 7 -2 -3 -4 -5 -6 -7 1. What is the range of f(x)? 2. What is the domain? 3. On what intervals is f(x) decreasing? 4. On what intervals will the following statements be true? a) As x increases‚ y increases. b) As x increases
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