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Midterm

Midterm 2 Nov 9th 2009_sol.pdf

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Department
Mathematics
Course
Mathematics 0110A/B
Professor
Ali Moatadelro
Semester
Fall

Description
Mathematics0110AFridayNovember132009CODE111Test2Page1PARTAMultipleChoice20marks2A11markFindf2wherefxx11A32BC0DE1222412233Solutionfx2xsofx2x2xandfx22x4x3xx414Thereforewegetf23282xA21markFindf1wherefx111ABC0DE142211212xxsofxxandsoSolutionfx211111112132fxxx3232244x4x111Thereforef13441414A31markFindf0wherefx1xA24B12C4D12E244Solutionfx1xsousingthegeneralpowerrulewegetd333fx41x1x41x141xdxandthenusingthegeneralpowerruleagainweget22fx431x1121xAndnowweneedthegeneralpowerruleonemoretime1fx1221x1241xThereforef024102412423A41markFindfxwherefxx1222A6xx1B12x1222C24xx1D6x15x122E6x1x4x1SolutionAgainweneedthegeneralpowerruleThistimewegetd22222223x12x6xx1x1fx3x1dxThisisaproductsotodierentiateagainweusetheproductruledd222222216xx16xx16x16x2x12xfxdxdx22222226x16x1x22x6x1x12x2x6x15x1
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