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### ODEs

Course: MATH 16A, Spring 2008
School: Berkeley
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Berkeley - MATH - 16A
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Berkeley - MATH - 16A
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Berkeley - MATH - 16A
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Berkeley - MATH - 16A
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Berkeley - MATH - 16A
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Berkeley - MATH - 16A
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Berkeley - MATH - 16A
Undetermined Coefficients for y + p(x)y + q(x)y = g(x)g(x) (1) (2) (3) (4) (5) pn (x) = an xn + . . . + a1 x + a0 aex a cos x + b sin x pn (x)ex pn (x) cos x + qm (x) sin x, where qm (x) = bm xm + . . . + b1 x + b0 aex cos x + bex sin x pn (x) ex c
Berkeley - MATH - 16A
Basis Vectors i = 1, 0, 0 j = 0, 1, 0 k = 0, 0, 1 u = u1 , u2 , u3 = u1 i + u2 j + u3 k Magnitude |u| = u2 + u2 + u 2 1 2 3Curvature = dT 1 dT |v a| = = ds |v| dt |v|3 = |f (x)| [1 + (f (x)2 ]3/2y = f (x)Principal Unit Normal Vector N= 1 dT d
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RETURN THIS FRONT PAGE AS PAGE ONE OF YOUR SOLUTIONS E245 Homework 2: Thevenin Equivalent and RC/RLTransient CircuitsSolutionsContentsPROBLEM 1: THEVENIN EQUIVALENT CIRCUIT (33 POINTS, 11 PER QUESTION).2 BACKGROUND INFORMATION.2 QUESTIONS TO ANS
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Cal Poly State University, SLO Physics Department Phys 141D. Niebuhr Winter 2008Homework Solutions Chapter 1Assigned Problems:1.4.4, 6, 10a, b, 16, 21 23, 30, 33, 34, 38, 41, 50, 54, 57Solve: Position refers to the location of an object at
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Cal Poly State University, SLO Physics Department Phys 141D. Niebuhr Winter 2008Homework Solutions Chapter 2Assigned Problems:2.2. Solve:2, 3, 4, 6, 8, 16, 18, 21, 24, 30, 32, 52, 70, 78, 82Position Negative Negative Positive Velocity Positi
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Cal Poly State University, SLO Physics Department Phys 141D. Niebuhr Winter 2008Homework Solutions Chapter 3, 4Assigned Problems: Chapter 3: 3, 7, 10, 18, 22, 26, 31, 45, 47 Chapter 4: 4, 5, 8, 16, 25, 28, 32, 34, 41, 463.3. Visualize: Solv
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Cal Poly State University, SLO Physics Department Phys 141D. Niebuhr Winter 2008Homework Solutions Chapter 9Assigned Problems: Ch. 9: 2, 9, 10, 13, 19, 21, 24, 26, 28, 38, 42, 49, 579.2. Model: Model the bicycle and its rider as a particle. Al
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Cal Poly State University, SLO Physics Department Phys 141D. Niebuhr Winter 2008Homework Solutions Chapter 10Assigned Problems: Ch. 10: 2, 5, 9, 12, 16, 18, 23, 30, 31, 42, 47, 5410.2. Model: Model the hiker as a particle.Visualize:The orig
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Cal Poly State University, SLO Physics Department Phys 141D. Niebuhr Winter 2008Homework Solutions Chapter 13Assigned Problems: Chapter 13: 6, 10, 14, 18, 21, 30, 33, 47, 57, 68, 69, 72, 7813.6.Model:The magnetic computer disk is a rigid r
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HOMEWORK #4 SOLUTIONS 1.0 1 20.4 0.3 0.300 0 0 10.2 0.7 01 .21 1 10.8 0.0 0.22 2 0 20.4,10.4,20.212. a)201 0.2200.01020125 .b)P( Going to state 0 after at least two steps)3.11 f 2010.80.2Pa)
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ISE 331 HOMEWORK # 5 SOLUTIONS 1. All states communicate a) None b) None c) {0,1,2,3} d) None, Since Pii 1 for all. e) All states have period 2, since There is only one class, and it contains only positive recurrent states.Pii( n ) P2. a)( n) ii
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Homework 2 ISE 382 Database Concepts 15 pointsDue Date Friday Feb 15th 1. (6 points) Marcia's Dry Cleaning is an upscale dry cleaners. Marcia makes her business stand out from the competition by providing superior customer service. She wants to kee
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Homework 3 ISE 382 Database Concepts 15 pointsDue Date Friday Feb 22nd Objective Learn how to model data using the E-R (Entity-Relationship) data modeling. Tool(s) Microsoft Visio Professional 2007 (You may download a trial version for your home co
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Homework 4 SolutionISE 382 5.16 Define the terms maximum cardinality and minimum cardinality. Maximum cardinality is the maximum or largest number of entity instances that can occur on one side of the relationship. Minimum cardinality is the minimum
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Name: _Solution_Database Systems 15 pointsHomework 5 ISE 382Answer Marcia's Dry Cleaning - Parts C through Q on page 65 (1 point each)Marcia's Dry Cleaning is an upscale dry cleaners in a well-do-do suburban neighborhood. Marcia makes her busi
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