MAT2705-04/05 23S Final Exam Print Name (Last, First) _________________________________|__
Show all work, including mental steps, in a clearly organized way that speaks for itself. Use proper mathematical notation, identifying expressions by their proper symbols (introducing them if necessary), and use equal signs and arrows when appropriate. Always SIMPLIFY expressions. BOX final short answers. LABEL parts of problem. Keep answers EXACT (but give decimal approximations for interpretation). Indicate where technology is used and what type (Maple, GC). You may use technology for row reductions, determinants and matrix inverses without showing details (identify technology). Otherwise only use technology to CHECK hand calculations, not subsitute for them, unless specifically requested. Remember "exact" means no decimals!pledge [sign and date the pledge at the end of your exam]When you have completed the exam, please read and sign the dr bob integrity pledge and hand this test sheet on top of your answer sheets as a cover page:"During this examination, all work has been my own. I have not accessed any of the class web pages or any other sites during the exam. I give my word that I have not resorted to any ethically questionable means of improving my grade or anyone else's on this examination and that I have not discussed this exam with anyone other than my instructor, nor will I until after the exam period is terminated for all participants."Signature: Date:
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUrZXhlY3V0YWJsZUdGNEYvConsider the initial value problem: 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
Solve this problem following these steps. To make sure you copy down the numbers correctly in working this problem, know that the final expressions for the unknowns only involve single digit integers, although you encounter fractions along the way.a) Write this system of DEs AND initial conditions in matrix form, identifying the coefficient matrix A. and the driving force LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn.b) Find the eigenvalues and eigenvectors of the coefficient matrix by hand showing all steps in the matrix solution process (identifying leading and free variables, stating the reduced matrix equations, etc.) and order the eigenvalues by increasing absolute value 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 and choose the smallest integer component eigenvectors in the basis changing matrix 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. State its inverse 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 and the diagonalized matrix 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 and calculate by hand 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.c) Introduce the decoupling change of variables 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 and re-express the matrix DE in the new variables, and then write down the corresponding decoupled scalar DEs for the new variables 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.d) Write down the general homogenous solutions of eachLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUrZXhlY3V0YWJsZUdGNEYvdecoupled DE.
e) Find the particular solution of each decoupled DE using the method of undetermined coefficients.f) Write down the general solution for the original variables in matrix or vector form (as a linear combination) or in scalar form as you wish.g) Impose the initial conditions on this general solution and express the resulting solution in scalar form for each of the unknowns.
h) Now rewrite your final solution in the following linear combination vector form by re-expressing the homogeneous solutions 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 in exact phase-shifted cosine 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 ,supporting your two amplitude-phase-shift calculations with clearly labeled triangle diagrams in the coefficient plane of each sinsoidal function indicating your angles, and where LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIzRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRjVGQQ== is the vector coefficient of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEkY29zRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiUtRiM2Jy1JI21uR0YkNiVRIjJGJ0YyRjQtSSNtb0dGJDYuUSJ+RidGMkY0LyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGVC1GLDYmUSJ0RicvRjBRJXRydWVGJ0YyL0Y1USdpdGFsaWNGJ0YyRjRGMkY0RjJGNA== that corresponds to the particular solution in response to the driving force. You may chose either range for the phase shift evaluation but make sure your angle is labeled correctly in your diagrams.i) On the grid provided plot the two eigenvectors and the new coordinate axes (label everything), and then the 6 vectors 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and finally the parallelogram whose sides correspond to the lines 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. [This parallelogram confines the homogeneous solution.]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Ig==solutionLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRLkxpbmVhckFsZ2VicmFGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQC1JI21vR0YkNi1RIjpGJ0ZALyUmZmVuY2VHRj8vJSpzZXBhcmF0b3JHRj8vJSlzdHJldGNoeUdGPy8lKnN5bW1ldHJpY0dGPy8lKGxhcmdlb3BHRj8vJS5tb3ZhYmxlbGltaXRzR0Y/LyUnYWNjZW50R0Y/LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVkY9RkA=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 direct Maple solution: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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtc3FydEdGJDYjLUYjNiQtSSNtbkdGJDYkUSQxMC5GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGOC8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnRjg=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: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, used this last time!
Consider the initial value problem: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZXLUkjbWlHRiQ2I1EhRictSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuMGVtRicvJSZkZXB0aEdGNC8lKmxpbmVicmVha0dRKG5ld2xpbmVGJy1JI21vR0YkNi5RIn5GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR0ZDLyUqc2VwYXJhdG9yR0ZDLyUpc3RyZXRjaHlHRkMvJSpzeW1tZXRyaWNHRkMvJShsYXJnZW9wR0ZDLyUubW92YWJsZWxpbWl0c0dGQy8lJ2FjY2VudEdGQy8lJ2xzcGFjZUdGNy8lJ3JzcGFjZUdGN0Y9Rj1GPS1JJW1zdWJHRiQ2Ji1GLDYmUSJ4RicvJSdpdGFsaWNHUSV0cnVlRidGQS9GRVEnaXRhbGljRictRiM2Ji1JI21uR0YkNiVRIjFGJ0ZBRkRGaW5GQUZcby8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRictRj42LlEiJ0YnRkFGREZHRklGS0ZNRk9GUUZTL0ZWUSwwLjExMTExMTFlbUYnRldGam9GPS1GPjYuUSI9RidGQUZERkdGSUZLRk1GT0ZRRlMvRlZRLDAuMjc3Nzc3OGVtRicvRlhGY3AtRj42LlEqJnVtaW51czA7RidGQUZERkdGSUZLRk1GT0ZRRlMvRlZRLDAuMjIyMjIyMmVtRicvRlhGaXAtRmFvNiVRIzEwRidGQUZERj1GWS1GPjYuUSIrRidGQUZERkdGSUZLRk1GT0ZRRlNGaHBGanAtRmFvNiVRIjJGJ0ZBRkRGPS1GWjYmRmZuLUYjNiZGYXFGaW5GQUZcb0Zkb0Znby1GPjYuUSgmbWludXM7RidGQUZERkdGSUZLRk1GT0ZRRlNGaHBGanAtRmFvNiVRIzM2RidGQUZERj0tRiw2JlEkY29zRicvRmpuRkNGQUZELUkobWZlbmNlZEdGJDYlLUYjNigtRmFvNiVRIjVGJ0ZBRkRGPS1GLDYmUSJ0RidGaW5GQUZcb0ZBLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJ0ZERkFGRC1GPjYuUSIsRidGQUZERkcvRkpGW29GS0ZNRk9GUUZTRlUvRlhRLDAuMzMzMzMzM2VtRidGPUYvRj1GPUY9Rj1GZHFGam9Gam9GPUZfcC1GYW82JVEiM0YnRkFGREY9RllGaHEtRmFvNiVRIzE1RidGQUZERj1GZHFGaHFGW3JGPUZeckZickY9RmBzRj1GQUZELUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZPLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRitGK0YrRitGK0YrRitGK0YrLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy1GIzYmLUkjbW5HRiQ2JFEiMUYnRi8tRiw2LVEiYEYnRi9GMkY1RjdGOUY7Rj1GP0ZBRkRGTUZQLyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvSSttc2VtYW50aWNzR0YkUSdhdG9taWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUZVNiRGZ25GLy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RidGL0YvLUYsNi1RIj1GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjc3Nzc3OGVtRicvRkVGaW8tRlU2JFEiMkYnRi8tRiw2LVEiLEYnRi9GMi9GNkZPRjdGOUY7Rj1GP0ZBL0ZFUSwwLjMzMzMzMzNlbUYnRistRkc2JkZJLUYjNiVGW3BGTUZQRmVuRmhuRltvRmVvLUZVNiRRIzEwRidGL0ZecC1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR0ZDLyUmZGVwdGhHRmBxLyUqbGluZWJyZWFrR1EobmV3bGluZUYnRitGK0YrRitGK0YrRitGK0YrLUZHNiZGSS1GIzYlRlRGTUZQRmVuRmhuLUYsNi1RIidGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMTExMTExMWVtRidGREZbb0Zlb0ZocEZecEZkcEZcckZbb0Zlby1GLDYtUSomdW1pbnVzMDtGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjIyMjIyMmVtRicvRkVGZXItRlU2JFEiOUYnRi9GYm9GLw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRLkxpbmVhckFsZ2VicmFGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQC1JI21vR0YkNi1RIjpGJ0ZALyUmZmVuY2VHRj8vJSpzZXBhcmF0b3JHRj8vJSlzdHJldGNoeUdGPy8lKnN5bW1ldHJpY0dGPy8lKGxhcmdlb3BHRj8vJS5tb3ZhYmxlbGltaXRzR0Y/LyUnYWNjZW50R0Y/LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVkY9RkA=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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JUYrLUkmbXNxcnRHRiQ2Iy1GIzYkLUkjbW5HRiQ2JFEjNS5GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGOkY6LUkjbW9HRiQ2LVEifkYnRjovJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkMvJSlzdHJldGNoeUdGQy8lKnN5bW1ldHJpY0dGQy8lKGxhcmdlb3BHRkMvJS5tb3ZhYmxlbGltaXRzR0ZDLyUnYWNjZW50R0ZDLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUi8lK2V4ZWN1dGFibGVHRkNGOg==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