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exam3a

Course: MATH 2326, Fall 2008
School: Texas El Paso
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Word Count: 162

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2326, Math Test III Name ___________________________ 1. Find the general solution: w + 10w + 25w = e3t answer: w(t) = C1 e5t + C2 te5t + 2. Find the general solution: y y + 7y = 28 1 3t e 64 answer: y(t) = C1 + et/2 [C2 cos( 27t/2) + C3 sin( 27t/2)] + 4t 3. Find all 4 equilibrium points of the nonlinear system: dx dt dy dt = x(x 3y + 150) = y(2x y + 100) (0,0) is one of the equilibrium points, it...

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2326, Math Test III Name ___________________________ 1. Find the general solution: w + 10w + 25w = e3t answer: w(t) = C1 e5t + C2 te5t + 2. Find the general solution: y y + 7y = 28 1 3t e 64 answer: y(t) = C1 + et/2 [C2 cos( 27t/2) + C3 sin( 27t/2)] + 4t 3. Find all 4 equilibrium points of the nonlinear system: dx dt dy dt = x(x 3y + 150) = y(2x y + 100) (0,0) is one of the equilibrium points, it classify as a source, sink or saddle point. answer: (0, 0), (0, 100), (150, 0), (30, 40); (0, 0) is a source 1 4. Find the Laplace transform of the solution of y 3y + 5y = g(t), with y(0) = 0, y (0) = 2, where g(t) = 0 for t < 2 and g(t...

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Texas El Paso - MATH - 2326
Math 2326, Test II Name _ 1. a. Find the general solution to the following system, for arbitrary a = 1. x y = 1 1 0 a x yanswer:x y= C1 et1 0+ C2 eat1 a1b. For what values of a is (0, 0) a source? (answer: a &gt; 0) c. For what values of a
Texas El Paso - MATH - 2326
Math 2326, Test III Name _ 1. Find the general solution: w 5w + 4w = e4t1 answer: w(t) = C1 e4t + C2 et + 3 te4t2. Find any 4 of the 6 equilibrium points of the nonlinear system:dx dt dy dt= 8x2 6xy + 480x = x2 y y 3 + 2500yand classify
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Math 5329, Test III Name _ 1. a. Find r, s which make the quadrature formula below as high order as possible:b af (x)dx N h i=1 3 [f (xi1+ rh) + f (xi1 + 1 h) + f (xi1 + sh)] 2(Hint: how are r and s related, by symmetry?)b. With this choic
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Texas El Paso - CE - 3343
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Chapter ThreeStatics of Structures ReactionsDr. Cesar CarrascoReactions Structural systems are designed to support and to transfer all loads to the structural connecting systems. The following steps should be followed to calculate reactions:
Texas El Paso - CE - 3343
Texas El Paso - CE - 3343
Texas El Paso - CE - 3343
Chapter NineDeflections of Beams and FramesDr. Cesar CarrascoDeflection of Beams and Frames When a structure is loaded its elements deform These deformations change the shape of the structure Although deformations are generally small, the desi
Texas El Paso - CE - 3343
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Chapter TenWork-Energy Methods for Computing DeflectionsDr. Cesar CarrascoWork-Energy Methods Based on the principle of the conservation of energy The work done by a series of forces applied to a structure equals the strain energy stored in the
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Chapter TwelveAnalysis of Indeterminate Beams and Frames by the Slope-Deflection MethodDr. Cesar CarrascoSlope-Deflection Method This is a procedure for analyzing indeterminate beams and frames. This is an important method because it is the bas
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Chapter SevenArchesDr. Cesar CarrascoArches Arches make efficient use of material because internal forces are mostly axial. Types of arches: a) Three hinged arch. Stable and determinate. b) Two hinged arch. Stable and indeterminate to the fi
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Chapter TwoDesign LoadsDr. Cesar CarrascoBuilding and Design Codes Structural codes provide design loads, allowable stresses, design assumptions and material requirements. Standard Specifications for Highway Bridges (AASHTO) Manual for Railwa
Texas El Paso - CE - 3343
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LINEAR ALGEBRA Spring 2008 Homework Thursday, March 13 Follow the separate general guidelines for Parts A,B,C. Be sure to include and label all four standard parts (a), (b), (c), (d) of Part A in what you hand in. Diagonal Matrices pp. 8790 A: Readin
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LINEAR ALGEBRA Spring 2008 Homework Thursday, February 21 Follow the separate general guidelines for Parts A,B,C. Be sure to include and label all four standard parts (a), (b), (c), (d) of Part A in what you hand in. Invertibility (Part II) pp. 5658
Texas El Paso - MATH - 4326
LINEAR ALGEBRA Spring 2008 Homework Thursday, February 21 Follow the separate general guidelines for Parts A,B,C. Be sure to include and label all four standard parts (a), (b), (c), (d) of Part A in what you hand in. Invertibility (Part II) pp. 5658
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LINEAR ALGEBRA Spring 2008 Homework Thursday, April 3REVISED Follow the separate general guidelines for Parts A,B,C. Be sure to include and label all four standard parts (a), (b), (c), (d) of Part A in what you hand in. Orthogonal Projections and Min
Texas El Paso - MATH - 4326
LINEAR ALGEBRA Spring 2008 Homework Thursday, April 3REVISED Follow the separate general guidelines for Parts A,B,C. Be sure to include and label all four standard parts (a), (b), (c), (d) of Part A in what you hand in. Orthogonal Projections and Min
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LINEAR ALGEBRA Spring 2008 Homework Thursday, March 20 Follow the separate general guidelines for Parts A,B,C. Be sure to include and label all four standard parts (a), (b), (c), (d) of Part A in what you hand in. Norms pp. 102106 A: Reading question
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LINEAR ALGEBRA Spring 2008 Homework Thursday, February 28 Follow the separate general guidelines for Parts A,B,C. Be sure to include and label all four standard parts (a), (b), (c), (d) of Part A in what you hand in. Invariant Subspaces pp. 7679 A: R
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