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MTH101 Quiz 2

Calculus And Analytical Geometry PDF 219 KBUpdated 23 Oct 2026
Quiz MTH101 Quiz 2 PDF 219 KB
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Quiz
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MTH101 Calculus And Analytical Geometry
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PDF 219 KB
Updated
23 Oct 2026
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MTH101Quiz2PreparationFile

MTH101-SOLVEDOnlineQuizNo.2

  1. IfSin(3x^2)/6+Cistheanti–derivativeofafunctionf(x),thenf(x)=__________. x^2Cos(3x^2).

xCos(3x^2). xCos(3x). none

  1. WhichofthefollowingistheintegralofSin(3x+5)withrespecttox? -1/3[-Cos(3x+5)]

1/3[-Cos(3x+5)] 1/15[-Cos(3x+5)] -Cos(3x+5)

  1. If‘ n’goesfrom1to3andthesummationof‘na’=6a,thenthevalueof‘a’is----------

-6

undetermined

  1. If‘ n’goesfrom1toanylargeODDnumberthenthesummationof‘ (-1)^n’=--------- -1

thatspecificlargeODDnumber

  1. 1+2+3………+tequals

n(n+1)/2 t(t+1)/2 n(n+1)(2n+1)/6 none

  1. Ifdefiniteintegraloff(x)=Sinxover[a, 0]isequalto‘ -2’thenthevalue‘ a’is--------- pi/2

pi Smallpositivenumber. Smallnegativenumber. Question#(03)Afunctionfissaidtobecontinuousonaclosedinterval[a,b]iffiscontinuous fromtherightat“a”and“f”iscontinuousfromtheleftat“b”and“f”iscontinuouson (a,b] [a, b) [a, b] (a,b) Question#(04)Iffiscontinuouson[a,b],andiff(angel)andf(beer)haveoppositesigns,then thereis……………………onesolutionoftheequationf(x)=0intheinterval(a,b). atmost exactly atleast notmorethan

Question#(05)e(epsilon)usedinthedefinitionoflimitcanbeanegativenumber. True False Question#(06)Ifafunctionisdifferentiableatapointthenitiscontinuousatthatpoint. The converseis False True Question#(07)Ifthefunctionfandgarecontinuousatc,thenf+gis…………atc. Discontinuous Continuous Question#(8) Iffiscontinuousonaclosedinterval[a,b]and Cisanynumberbetweenf(angel)andf(beer), inclusive,thenthereisatleastonenumberxintheinterval[a,b]suchthat---------

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