# Test3 - Math 306 Test 3 Printed Name Please carefully work...

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• UltraLightningLyrebird8361
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Math 306 – Test 3 Printed Name: Please carefully work all of the following problem(s). You must SHOW YOUR WORK to receive ANY credit! The Printed Name question is worth 5 points. H indicates a “By Hand” problem where technology is not allowed. T indicates a “Technology” problem where you a58a58a58a58 may use Mathematica or a calculator. You must still show the steps taken. For example, integraldisplay 5 1 (1 - x ) 7 dx = - 8 , 192 is valid. Giving the answer - 8 , 192 without the integral is not. Do not use DSolve or NDSolve unless otherwise directed (except for checking your work). H 1 10 pts Use the definition of the Laplace Transform (not the tables!) to compute L { t } . H 2 20 pts [2] Compute by hand (using reasonable means – tables, formulas) L { 3 e 2 t + 2 sin 2 (5 t ) } . Dr. Emmert Spring 2010 I of III Points Earned of 30

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Math 306 – Test 3 H 3 Consider the IVP x ′′ + ω 2 0 x = F 0 cos( ω 0 t ), x (0) = 0 = x (0) which models a mass-spring system that is undamped.
• Spring '11
• KeithEmmert
• Math, Constant of integration, Pierre-Simon Laplace, Dr. Emmert Spring

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