Which of the following represents the correct Taylor series expansion for 3

Which of the following represents the correct taylor

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5.Which of the following represents the correct Taylor series expansion for š‘“š‘“š‘–š‘–āˆ’3using š‘„š‘„=š‘„š‘„š‘–š‘–as the referencepoint? AMME2000/AMME29602018QuizSolutions,Page3 of6
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6.Thevoltageinauniformconductorisgovernedbythedifferentialequation:Vt=1RCVxx(1)whereVis the voltage,R= 10000 Ī© is the resistance andC= 3Ɨ10-3F is the capacitance. In a 1 mlong conductor, the voltage at both ends of the conductor is regulated to be a constant of 0 V and theinitial voltage distribution takes the form shown in Figure 1.00.20.40.60.810246810Figure 1: Initial voltage distribution.(a)[2]Clearly state mathematically the boundary conditions and initial condition of the problem. (b)[6]Using separation of variables, derive the exact solution to this problem, clearly stating the valuesof any parameters in the Fourier Series coefficients. AMME2000/AMME29602018QuizSolutions,Page4 of 6
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AMME2000/AMME29602018
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  • Three '17
  • Dr Andre Kyme
  • Fourier Series, Partial differential equation

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