填空题设z=x3y+2xy2-x,则
填空题已知A是3阶非零矩阵,若矩阵使得AB=0,又知A+3E不可逆,则秩r(A)+r(A+E)=______.
填空题设f(u)连续,且du(x,y)=f(xy)(ydx+xdy),则u(x,y)=______.
填空题设f(3x+1)=,则∫01f(x)dx=________.
填空题设,且f(0)=0,则f(x)=________。
填空题设F(x)为lnx2的原函数,则=________。
填空题设随机变量X服从参数为λ的指数分布,且E[(X-1)(X+2)]=8,则λ=______.
填空题曲线9y
2
=4x
3
上从x=0到x=1的一段弧的长度为_______
填空题 若f'(ex)=1+e2x,且f(0)=1,则f(x)=______.
填空题D是圆周x2+y2=Rx所围成的闭区域,则=________。
填空题方程组x
1
+x
2
+x
3
+x
4
+x
5
=0的基础解系是_________.
填空题设 L 为连接点(-1,0),(0,1) 的直线段,对弧长的曲线积分
填空题二重积分________.
填空题[A]Evenastherobotsdotheirwork(officialsshouldknowwithinadaywhethertherobotsweresuccessful),BPispreparingtodrillareliefwellintowhichtheoriginalwellwouldempty.Thatcouldallowthecompanytoinjectaheavyfluidintothebrokenwellthatwouldslowandeventuallystoptheflowofoil.Oncetheleakisstanched,BPcouldpermanentlysealthefirstwell.[B]TheexplosionontheDeepwaterHorizonoilriglastweekintheGulfofMexicowaswithoutquestionahumantragedy.ThedayaftertherigfinallysankonApril22,theCoastGuardcalledoffthesearchforthe11workerslostduringtheaccident.[C]ButtheGulf's$2.4billionfishingindustrycouldbeimperiledbyamajorspill,ascouldtourismupanddowntheGulfCoastandpotentiallytheFloridapanhandle(狭长地带)."Wearebeingvery,veryaggressive,"saidTonyHayward,theCEOofBP,whichexpectstospendsome$100milliononthecleanup."Thisisthebiggestresponsebyanyoneintheindustryever,andwe'reabletodoitbecauseweplannedforit.Wewillbejudgedbyourresponse."[D]Nowtheaccidentthreatenstobecomeanenvironmentaltragedyaswell.Despiteearlyhopesthattheoilspillcouldbeminimized,therig'sfractureddrillingpipeiscurrentlyleaking42,000gal.ofcrudeaday.Theresultisanoilslickonthesurfaceofthewater,coveringmorethan1,800sq.miles,nowjust20milesfromthedelicateGulfcoastline.Dependingonwindconditions,oilcouldbeginwashingupontheshoreasearlyasthisweekend.[E]TheCoastGuardandtheenergygiantBP,whichoperatedthesunkenrigandisresponsibleforthecleanup,havelaunchedamassiveoperationtocontainthespill—anunusualchallenge,consideringthecomplexityofunderwaterdrilling.First,remote-controlledrobotsubmarineshavebeendeployedtotrytosealofftheoilwellaltogetherbyactivatingamassivedevicecalledablowoutpreventer.Ifthe450-tonvalveatthewellheadcanbeturnedon,theoilflowshouldstop,andthespillcouldbeendedquickly.Buttheoutcomeisfarfromguaranteed;robotshaveneverbeenusedinanoperationofthismagnitudenoratthisdepth—some5,000ft.belowthesurfaceoftheocean.[F]Cleanuphasalreadybeenunderway.Vesselsaredragginglongbooms(拦油栅)tocorraltheoilonthesurface—whichisstillathinslick,notyetathicktar—whitetheplanesspraychemicaldispersantsthatcanseparatethecrudefromthewater.CoastGuardofficialssaidtheywouldconsideracontrolledburnoftheoil.Poolsofoilwouldbetrappedincontainmentboomsandsetonfire.Theburningoilwouldalsocreateaplumeofsmokeandairpollution,whichcouldaffectflyingbirds.ButaccordingtotheNationalOceanicandAtmosphericAdministration,marinewildlifewouldbelessharmedbyaburningareaoftheoceanthanbyexposuretoanoilslick.[G]Buttheentireoperationwouldlikelytakemonths,duringwhichtimetheoilwouldkeepspilling.SoBPisalsopreparingtobuildamassivedomethatcouldbeplacedovertheoilleaks—whichareemanatingfromapipethatconnectsthewelltothesunkenrig—andactuallycollecttheleakingcrude.Theonlyproblemisthatsuchanenterprisehasneverbeenattemptedindeepwater,anditwouldtakeatleasttwoweekstobeputinplace.
填空题在y轴上的0≤y≤2一段上,有一根细棒,其上每一点处的线密度等于该点到棒两端的距离平方之积,则其质心
填空题设f(x,y,z)=e
x
yz
2
,其中z=z(x,y)是由x+y+z+xyz=0确定的隐函数,则f
x
’(0,1,一1)=_________.
填空题曲线的渐近线方程为________.
填空题P=88. (1)某学生语文、数学、英语的平均成绩为93分,语文、数学的平均成绩为90分,语文、英语的平均成绩为93.5分.该生语文成绩为P; (2)10个连续偶数的合是从1开始的10个连续奇数和的2.5倍,其中最大的偶数为P.
填空题若,则幂级数的收敛半径是________.
填空题设f(2)=1,,则________.
