EBK MATHEMATICS FOR MACHINE TECHNOLOGY
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 16, Problem 8A
To determine

The fraction or decimal equivalents of given number.

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2. Show that 8 xa S -dx (b² + 12) dr = 2 cos(π2) пра-1 a, b real and -1 0 Your solution should clearly explain the closed contour you are using, and state clearly any vanishing properties of integrals over contours that are being used. You are free to quote from the lectures, the appropriate results on such vanishing properties, without deriving these properties. Any residue calculations involved should be explained clearly.
1. Calculate the integral 500 x sin x (a² +x2)20 dx by using the residue theorem. You may assume that a is real and a > 0. Your solution should clearly explain the closed contour you are using, and state clearly any vanishing properties of integrals over contours that are being used.
Steel Production Planning: Let S  represent the amount of steel produced (in tons). Steel Production is related to the amount of labor used(L) and the amount of capital used ( C ) by the following function:S = 20L⁰˙³⁰C⁰˙⁷⁰In this formula L represents the units of Labor input and C the units of Capital input. Each unit of Labor costs $50, and each unit of Capital costs $100. a:Formulate an optimization problem that will determine how much labor and capital are needed to produce 50,000 tons of steel  at minimum cost.                                                                                                                                                                                             Q#3B: Solve the optimization problem you formulated in part (a). (Hint: When using Excel Solver, start with an initial L>0 and C>0.)…
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