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时间:2019-09-28
《2015微积分模考卷参考答案》由会员上传分享,免费在线阅读,更多相关内容在教育资源-天天文库。
1、选择题:1-5CEDAC6-10ABDDC11-15EACBA16-20DEDBE21-25CDDCE26-28BAD76-80BEABB81-85EDEDE86-90DCDDA91-92AC自由问答题′7≈?9−?5160−1121.??==12votesperminute9−59−59′???=?9−?2(b)?=160−56=1042Thenumberofthevotesintheboxincreased104overtheintervalfromt=2tot=9.(c)Theaveragenumberofvotesintheboxduringthefirst9min
2、utes19is????.90191????≈56×2+112×3+160×4=120.89990Thisapproximationisanoverestimate,becausearightRiemannsumisusedandthefunctionSisstrictlyincreasing.18(d)250−????=197.895152.(a)perimeter:221+(?′(?))2??+1+(?′(?))2??=7.3415400area:2??−????=3.683660222??=39.0625(b)?(1−??)−(1−??)02(c)??−??∙3?(?
3、)??=4.2479903.(a)t=6,t=106(b)x6=0+????=10014?14=0+????=10−4+3=90ThecatisfarthestfromhouseAattimet=6;itsgreatestdistancefromhouseAis10.(c)increasing,sincetheabsolutevalueofv(t)isincreasing.14(d)????=10+4+3=170314.(a)?3=????=×2×2=212−311?−3=????=−????=−(−?∙22)=2?21−3(b)?′?=??=0???=−3,1,4???−
4、5<5??????????????????????????????????=1????,????????????????????????=1.(c)??????????????????????????????????????′?=?????????????????????????:−3<−1.(d)?′?=??????????????????????????????????=−3,???????????????????????????????????=1.???????????????????????????????????=−5????=1.−51113?−5=?
5、???=−????=−(?12−?22)=?2221−51?(1)=????=01Theabsolute???????valueofgon[-5,5]isg(1)=0.??5.(a)=4−1=3??(−1,2)?2?1??=8?−(2??+?2)=−7.5??22??(−1,2)(−1,2)1′0∙−11(b)f−≈f0+f=4+0∙−=42221111115f−1≈f−+f′−∙−=4+∙−=222224112(c)dy=???8−y2112dy=???8−y21−ln8−y=?3+?161ln8−y=−?3+?261313−?+?2−?8−y=e6=?3e613−?8−
6、?=?e68−4=?=413−??=8−4e66.(a)1=1+?+?2+?3+⋯+??+⋯(−1<1)1−?1=1−?4+?8−?12+⋯+(−1)??4?+⋯(−1<1)1+?42?=2?−2?5+2?9−2?13+⋯+(−1)?2?4?+1+⋯1+?4(−1<1)?2??g?=??????(?2)=??1+?40?=2?−2?5+2?9−2?13+⋯??0111=?2−?6+?10−?14+⋯357(c)g′0??????????????????????????????????????????g,sog′0=0.g′′02=1???????????????
7、???????????????????????????g,2!??g′′0=2>0.Therefore,bytheSecondDerivativeTest,ghasarelativeminimumatx=0.(d)11111111g=()2−∙()6+∙()10−∙()14+⋯2232527226111147g≈−∙=22321921sincetheMaclaurinseriesforgevaluatedatx=isalternatingand2thetermsdecreaseinabsolutevalueto0,
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