填空题设x=rcosθ,y=rsinθ,把极坐标系中的累次积分转化为直角坐标系中的累次积分可得I=______.
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填空题设则x2项的系数为________.
填空题设,且α,β,γ两两正交,则a=________,b=________.
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填空题设总体X~N(a,2),Y~N(b,2),从总体X取得简单随机样本X1,X2,…,Xm,从总体Y独立地取得简单随机样本Y1,Y2,…,Yn记统计量=,则T服从分布及参数为______.
填空题设A,B为三阶相似矩阵,且|2E+A|=0,λ
1
=1,λ
2
=-1为B的两个特征值,则行列式|A+2AB|=________。
填空题若线性方程组有解,则常数a1,a2,a3,a4应满足条件______.
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填空题[A]Hemphasbeencultivatedbymanyculturesforthousandsofyears.Itproducesfibrewhichcanbemadeintopaper,fuel,oils,textiles,food,andrope.Formanycenturies,itwasessentialtotheeconomiesofmanycountriesbecauseitwasusedtomaketheropesandcablesusedonsailingships;colonialexpansionandtheestablishmentofaworld-widetradingnetworkwouldnothavebeenpossiblewithouthemp.Nowadays,ships'cablesareusuallymadefrom'wireorsyntheticfibres,butscientistsarenowsuggestingthatthecultivationofhempshouldberevivedfortheproductionofpaperandpulp.Accordingtoitsproponents,fourtimesasmuchpapercanbeproducedfromlandusinghempratherthantress,andmanyenvironmentalistsbelievethatthelarge-scalecultivationofhempcouldreducethepressureonCanada'sforests.[B]MuchofCanada'sforestryproductiongoestowardsmakingpulpandpaper.AccordingtotheCanadianPulpandPaperAssociation,Canadasupplies34%oftheworld'swoodpulpand49%ofitsnewsprintpaper.Ifthesepaperproductscouldbeproducedinsomeotherway,Canadianforestscouldbepreserved.Recently,apossiblealternativewayofproducingpaperhasbeensuggestedbyagriculturalistsandenvironmentalists:aplantcalledhemp.[C]Inrecentyears,twomajormovementsforlegalizationhavebeengatheringstrength.OnegroupofactivistsbelievesthatALLcannabisshouldbelegal--boththehempplantandthemarijuanaplant--andthattheuseofthedragmarijuanashouldnotbeanoffense.Theyarguethatmarijuanaisnotdangerousoraddictive,andthatitisusedbylargenumbersofpeoplewhoarenotcriminalsbutproductivemembersofsociety.Theyalsopointoutthatmarijuanaislesstoxicthanalcoholortobacco.[D]However,thereisaproblem:hempisillegalinmanycountriesoftheworld.Thisplant,sousefulforfibre,rope,oil,fuelandtextiles,isaspeciesofcannabis,relatedtotheplantfromwhichmarijuanaisproduced.[E]Theotherlegalizationmovementisconcernedonlywiththehempplantusedtoproducefibre;thisgroupwantstomakeitlegaltocultivatetheplantandsellthefibreforpaperandpulpproduction.Thissecondgrouphashadamajortriumphrecently:in1997,Canadalegalizedthefarmingofhempforfibre.Forthefirsttimesince1938,hundredsoffarmersareplantingthiscrop,andsoonwecanexpecttoseepulpandpaperproducedfromthisnewsource.[F]Inthelate1930s,amovementtobanthedrugmarijuanabegantogatherforce,resultingintheeventualbanningofthecultivationnotonlyoftheplantusedtoproducethedrug,butalsoofthecommercialfibre-producinghempplant.AlthoughbothGeorgeWashingtonandThomasJeffersongrewhempinlargequantitiesontheirownland,anyAmericangrowingtheplanttodaywouldsoonfindhimselfinprison--despitethefactthatmarijuanacannotbeproducedfromthehempplant,sinceitcontainsalmostnoTHC(theactiveingredientinthedrug).[G]Everysecond,1hectareoftheworld'srainforestisdestroyed.That'sequivalenttotwofootballfields.AnareathesizeofNewYorkCityislosteveryday.Inayear,thataddsupto31millionhectares--morethanthelandareaofPoland.Thisalarmingrateofdestructionhasseriousconsequencesfortheenvironment;scientistsestimate,forexample,that137speciesofplant,insectoranimalbecomeextincteverydayduetologging.InBritishColumbia,where,since1990,thirteenrainforestvalleyshavebeenclear-cut,142speciesofsalmonhavealreadybecomeextinct,andthehabitatsofgrizzlybears,wolvesandmanyothercreaturesarethreatened.Logging,however,providesjobs,profits,taxesforthegovernmentandcheapproductsofallkindsforconsumers,sothegovernmentisreluctanttorestrictorcontrolit.
填空题交换积分次序∫
0
2
dx∫
x2
x
f(x,y)dy=_______.
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填空题设二元函数z=xex+y+(x+1)ln(1+y),则dz|(1,0)=______.
填空题已知某商品的需求函数为,成本函数为C=50+2Q,则产量为________时利润最大.
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