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MAT1332A,FALL2014,Assignment 1

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Question;MAT1332A,FALL2014,Assignment1DueFridaySeptember;19by3:00pm.;Lateassignmentswillnotbeaccepted,norwillunstapled;assignments.;Professorsinthemathdepartmentwillnotlendyouastapler;donotaskforone.;Professor:Catalin;Rada;StudentName StudentNumber;Bysigningbelow,youdeclarethatthisworkwasyourownandthatyouhavenotcopiedfromanyotherindividualorothersource.;Signature;Question1.Findtheaveragevalueofthefunction;f(x)=;e2x;e2x+2013;overtheinterval;[0,1].;Question2.Findtheindefiniteintegral;r;x3e?x2dx.;Usefirstasubstitution,thenuseintegration;byparts.;Question3.Considerthedefiniteintegral;r0.5;?1;tan(x)dx.;FindthevalueofR6,theRiemannsumapproximationoftheintegralwith6subintervalsandfunctionevaluation;attherighthandendpointofeachsubinterval.;R6=;Question4.Sketchtheregionenclosed;bythecurvesy=12?x2andy=x2?6,andthenfinditsarea.;Don?tforgettoshowonyourregiontheintersectionpointsofthe2curves.;Answer

 

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