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h) Evalude the imprope integral 02tanxdx. i) Solvethe differentialequation p25p+6=0. i) Defineatire funtion andgive mexampleofettire furtion. Section B(ShortAnswer) Q2 Attempt any four of the following

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h) Evalude the imprope integral 02tanxdx. i) Solvethe differentialequation p25p+6=0. i) Defineatire funtion andgive mexampleofettire furtion. Section B(ShortAnswer) Q2 Attempt any four of the following a) Solve (D2+2D+1)y=4exlogx by themethod ofvariaion of parameters. b) Evalute the integral 010xx2+y2dxdy. c) Test for convergenceofthe seies 1+2x+2.41.3x2+2.4.61.3.5x3+x>0. d) Show that the finction definedby f(z)=xy isnotregularathe origin, athoughC Canty-Rientanequations ae stififid theee. e) Find dreLaret'sexpansion for. f(z)=z3z22z7z2 intheregions given by:(1) 0

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