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Course: IE 426, Spring 2008
School: Lehigh
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Word Count: 1287

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Problem IE426 Set #2 Prof Jeff Linderoth IE 426 Problem Set #2 Due Date: September 26, 2006. 4:30PM. Note: No late homework will be accepted, as I will be discussing solutions on 9/26 1 LP Knowledge For each of the problems in this section, you should determine which of the characterizations below best describes the linear program. The linear program may fall into more than one category, in which case write...

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IE 426 Quiz #1 Answers11.1Short(ish) AnswerEasy or HardNote: In this subsection, I am NOT asking you to solve the problem. Rather, I am asking you to say whether, given the &quot;shape&quot; of the objective function (over the feasible region) and the &quot;
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(Fall 2000) The spring-mass-dashpot system shown to the right has been modeled to give qout + ( R / I )qout + (1/ IC )qout = ( R / I )qin + (1/ IC )qin where standard conversions between I , C , R and m, k , b have been made. Assuming m = 4000 lb m ,
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(Spring 2000) A linear model characterized by the transfer function S G(S ) = 2 . S + 2S + 2 with zero initial conditions, is excited by the following excitations. Determine the forced responses. a. u(t ) = 3 . Note that there are three ways to solve
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IE 426 Quiz #2November 14, 2005 4:105:25READ THIS! Please put your name on all the pages of the exam. If you need more space, feel free to use the backs of the sheets, just make sure that I know where you are writing your answers. The more cle
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Lehigh - MAT - 141
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Lehigh - MAT - 141
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Lehigh - MAT - 141
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Lehigh - MAT - 141
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Lehigh - MAT - 141
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Lehigh - MATH - 23
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Lehigh - MATH - 23
Math 23 B. Dodson Week 7 Homework: [Revised]14.4 tangent plane, differentials 14.5 chain ruleProblem 14.4.3: Find the tangent plane to the surface the z = f (x, y) = Solution: We recall that the tangent plane at (a, b, f (a, b) is the plane with
Lehigh - MATH - 23
Math 23 Sections 110-113 B. Dodson Week 9 Homework: 15.5 Applications (mass, center of mass) 15.6 Surface Area 15.7 triple integrals 15.8 cylindrical, spherical coordsProblem 15.5.6: Find the mass and center of mass of a thin plate (lamina) occupyi
Lehigh - MATH - 23
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Lehigh - MATH - 23
Math 23 Sections 110-113 B. Dodson Week 6 Homework: 14.3 partial derivatives, 2nd order deriv 14.4 tangent plane, differentials 14.5 chain ruleProblem 14.3.15: Find the partial derivatives of the function z = f (x, y) = xe3y . Find fx (2, 1). Solut
Lehigh - MATH - 23
Math 23 Sections 110-113 B. Dodson Week 7 Homework: 14.6 directional derivatives 14.7 max/min 14.8 Lagrange multipliersProblem 14.6.8: (a) Find the gradient of f (x, y) = y ln x. (b) Evaluate the gradient at P (1, -3). (c) Find the rate of change o
Lehigh - MATH - 23
Math 23 B. Dodson Week 9 Homework: 15.2 iterated integrals [re-print of week 8 example] 15.3 general regions 15.4 polar coords Week 10 Homework: 15.5 Applications of Double Integrals . [Omit #23][End of Exam 2 syllabus, Thurs March 29]15.6 Surfac
Lehigh - MATH - 23
Math 23 B. Dodson Week 4 Homework: 13.1, 13.2 vector functions, derivatives . [due Friday, Feb 9]start Week 5: 13.3 arc length, curvature . . 13.4 velocity, acceleration; 14.1 functions of several variablesProblem 13.2.9: Find the derivative of t
Lehigh - MAT - 141
1Maximum and Minimum ValuesThis is all about optimization problems. Definition 1. A function f has an absolute maximum at c if f (c) f (x) for x in the domain of f . f (c) is called the maximum value. A function has an absolute minimum at c if f
Lehigh - MAT - 141
Homework # 6 Due: Never1New Material1. Use the guidelines of this section to sketch the curve. (a) f (x) = 20x3 - 3x4 (b) f (x) =x2 x2 -9(c) f (x) = sin x 2. If 1200 cm2 is available to make a box with a square base and an open top, find the
Lehigh - MAT - 141
Homework # 6 Due: Never1New Material1. Use the guidelines of this section to sketch the curve. (a) f (x) = 20x3 - 3x4 i. Domain f is a polynomial, so its domain is all real numbers. ii. Intercepts The y-intercept is f (0) = 0. The x-intercepts a
Lehigh - MAT - 142
1Indefinite IntegralsThe fundamental theorem of calculus shows just how important antiderivatives are. Since we'll be using them so frequently from now on, we introduce a notation for them. Actually, the FTC gives us an intuitive notation for the
Lehigh - MAT - 142
Homework # 1 Due: 7/18/06 1. Use the sum definition of an integral to evaluate4 2 (x 0+ 2x - 3)dx2. Use part 1 of the fundamental theorem of calculus to find the derivatives of the following functions: 1 dt 2 -3 t + t 1 3 (b) g(x) = cos d (a) g
Lehigh - MAT - 142
Homework # 2 Due: 7/25/06 1. Find the are bounded by the given curves. (a) y = sin x, y = x, x = 0, x = /2 (b) y = x, y = 3 x (c) y = 3 - x2 ,y = x2 + 1,x = -2,x = 2 2. Find the volume obtained by rotating the region bounded by y = 5 - x2 ,y = 1 abo
Lehigh - MAT - 142
1Review Limit laws Derivative rules2AntiderivativesRecall when we were looking at the motion of a particle, we were given a function for its position at a given time. We could figure out how fast it was moving by looking at the derivative.
Lehigh - MAT - 142
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