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VB64P' a Y VgNʈ`ʈ"p'@!* ( 1B=YDh)&PU F4c$ 𐦈jRs&ȡ|!'̆! $"4!!@C6J w$sU Y Rs 92R.`3#v)@ B$ TASUQY#<Y0$ #,̈"(&ʑN(FinaForm$NGraph2D& 3 LISTSYS@4< Modify 0P<STATCALC Td< \\x Sequence,xSheetO|`o lveEq~`wr(UptupFLG1(<Lis{ DPicdViewWin_osvev4xȐԐP   ^ !<Pd(u42@rLrXrd p!| " # $, %@ &T 'hĒІ)܆ 0*荸+  ,-( .< 0P$ 1d%%2x<3H 4T 5` El F xZI J K L M N̆ O|؆ P Q0Rц SO][ A ^_(,a0b4u8D ͆PΆ\hhׇt؆نچۆKh FinancialForman   E system]Setu^a_LIST`,"bTCaps @@ps@xp:> <[eAct0200184_Volum_dy_f(y)-g(y).EAC010000001b36 4_Volum_dy_f(y)-g.EACe Integrals.ACT47ADH ^E '+[49UsingX to find qor Solids of Revtion...A0Created by rotatWtwo curves about the -axis\More Details--->툢\$mThe key to understanding howset up an integral for fi&t?volume created by rotatEtwo curves is: u } Remember~fi| solve each8mx d think oft right most` squar~minuslef"as a/itS measure. 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LAUWtY0$6Y"* FN"&*%- UWYc[C(The S just sums these tiny volumes from lower to upp limits.[S; created by generaXg =f() and g bout -axis for s right of ? between =cL =d is:[ (h)2$-())cd_ (unit:3:  ~Example 1[,Fioh"/re~v.=-and =2 from =0 to4 about the -axis.[ ~SolutionR solve(L32; ,)R0xW=A-iy$,,e=$[x I will use x=  x=2.\ Graph each...Ј1N&%FinaForm$NGraph2D% 3 LISTSYS$@4< Modify XP<STATCALC |d< \x Sequence,xSheetO | olveEq`wr(UptupFLG1 (<Lis{HDPicViewWind_osvev ̐xx^(!؈(Ux2hi(< P }  g,N8DP\ht Ȇ !Ԇ"#$5%h &| '(  )4  *E@I+L,X-d.p0|123  5EĆFІH܆IJKT]6k M NO6P<† QbRVTS `?l ]^ xi ^_ Z ab ͆Ά׆̒Bؒ ْڒے FinanciaUFormat   system]Setu^a _LIST`, bTCaps @ps @xp =2 from 1 to about]-axisÎʎѐ\ Ex 2 Answer2"ae  V=/1# agai3KnThe right half of t%ellipse given below is revolved about*-axforming an M&M shape, find its 8 ume.[w9 2+25*=225\6 #Hint: Draid drop to Graph windoẅa3N(FinaForm$NGraph2D& 3 LISTSYS@4< Modify 0P<STATCALC Td< \\x Sequence,xSheetO|`o lveEq~`wr(UptupFLG1(<Lis{ DPicdViewWin_osvev4xȐԐP   ^ !<Pd(u42@rLrXrd p!| " # $, %@ &T 'hĒІ)܆ 0*荸+  ,-( .< 0P$ 1d%%2x<3H 4T 5` El F xZI J K L M N̆ O|؆ P Q0Rц SO][ A ^_(,a0b4u8D ͆PΆ\hhׇt؆نچۆKh FinancialForman   E system]Setu^a_LIST`,"bTCaps @@ps@xp:> <area nd3 (Volume=30  9[ eAct010008main.ACT0001020012eActivity Save.EAC010000000270 5_Volume_Quiz.EAC Integrals.ACT-0:=A ^E '[4!UsingX to find ...)i Practice what you have learned!/ ~Example 1JUF`the v generated by rev=-+2,from =2 =4, aboutD-axis\ Ex 1 Answer[G=8/33~Example 2[*Find the volume generated by re ving =3<% from =0 to4 aboutP -axis.[i[ry&\ Ex 2 AnswerG V=8m 3>area nd3 (Volume=30  9[ eAct0301da0020000800000000129cx]\a㵽ka;N!NTYlA+{`R j:,Ά5ZUVCZPKRRHԢjTENj.|y2x(GCt(Or6By%6OIX> 'a$,哰|2wՂXKb~-%>;ḽwQPm_9}]R]<GvM?Q[YI6#w}RTjWUiugýۛYDGJmCRTmvTj;+nj׾+6=cç\ ;ܝ-OT.?n9VNCyZN:'ˋ'- ׫5,+7'퓽5LgI*ֿБ ud|lX)/jSuʩ犵LygE^ZX6{t]gÌPb(R P^ P~ʊ]]aGÛv›vUfʓ=ŮkCևӯBۊ]ˋ]{B+ŮPŮ;]S{|Od\qHPbӡr']3նKm Uaru(CPwBe0lOw)TV^*t60}&*'çؽ6Duo a*_ Խ;Tn=~?[{H5lPdl }"Tn }:Tu?*7 ~&T ~6Tv|BuxjW[+L#WWۖ+Vݙ}Iá2l+ʾSI#Sɷƕ;Ce/Ga+Cm5~)T^:<)?|y$^>^I¬Ӱuw.WնS^rb[ΔwGs>ZJ*ϒ%#폴?^^k87 oͻN|Cϴ713pΪh[;G"޼q?'_N, wRtߖ4,]H~f5 w9ّ$SZԸ>\Q13-5o~YYԸvTےj{Jg7N\,$ЎRed)|'Y{ҫƕ\-.o1wUa'zԜ<ϲgYvl><ϲ/lA-ec^g؃_lAE,{Pg؃|=l,@lP>ܞٞ|=g؃,{0ϲ'Y6|=x:ecϲlY6|=y>ϲ2mlA)ecV7ecV>ڋz~|=ؔφٖ|=g؃,{|_Y6`g؃,{T><ϲ{ݟjˏ=~pBsτ=իkCmmAn{,'l~nӞ폥9*g-M.ֆNscߥꗜ؃CY9g3'{ϹbJPBYP(ár4o'q\4; )^fYΟf u̎7?rfJcNvs,')C{wj>\>Ǽ;yW,bx.6|o׆ ƣ/\꾁~׍7׍õk0˾u 5ks^\}Wbo.s-Zr-A8OP0447