数学题在线等解答
whenthepriceofacertaincommodityispdollarsperunitconsumersdemandxunitspermonthwhere2p^2+3px-x^2=1.Atwhatrateisdemandchangingwithrespecttotimewhenthepriceis2dollarsandisdecreasingatarateof0.1dollarspermonth?Roundyouranswerto2decimalpalces.
Acone'svolumeisdecreasingatarateof30πcm^3perminutewhileitsheightisincreasingatarateof5cmperminute,Findtherateatwhichthecone'sradiusischangingwithrespecttotimewhenitsheightis18cmanditsvolumeis216πcm^3.(V=1/3πr^2h)