5.3 interpretations of definite integral

5.3 interpretations of definite integral - Calculus 3

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Unformatted text preview: Calculus 3 /m‘er/or_e.7’m‘7m$ or; W» c De 16mm Mffél’d/ (I) De-Fzmm lHTg/OM] 010 a- ram g/ves wfa/ change. Tom! chem & z: 309) -$[a) m posm b = fa s’mdt ’1 velocity fiJHCT/b/v F b) ~— { : Tom/ohané _. b ( Fa) m Fawbean ‘ ALF/[19415 {ca ét=b EA Sap )5 002mg om“ 010 CL Sham" 7/? a map/a imp, 4+ 52 mm 070 Ht) gallons MOM/z where t 75 Mama/pal /% “hours. bur/fa down Ma defim‘rfi lm‘ejm/ Hya+ Mpmsses 7”/)€, 7’v7‘zz/ amoum 47C 5690 MW @ 75 deflecfa/ ova/e a, 026’ how» pgfiad, nyIQ/fjfl/‘f 0 (2) Discuss Wins é) 100w 7+3 Cansmfém’: E} above has fiKflAfi :7 ga/bm/M 7:; ma “:7 jaw/7:3 1/. ' W Calculus A 5.3 Infer/orefarwns of Hm deflnrré Im‘gm/v ,(3) 'Tha Deanne, Imgzral as an avemqe. - vl b 6W4 “a z J. [fie/W) m a 17> b ’3’“ a L 3 New! THIS sags HMH (ave‘valuaflwbfl):(74/1de T T”? 33%: base Ma. lzgrllgzj <\ fava ~IS OTC VQC+an/O(e ‘ ~ 7 x whose 0mm QWd‘S “I’m EM+€/OVOJ.. . EX Suppose, Temperamre, 0+1 (1 yam in (in oven “is 9mm EL; Hec) m OF hr t—mmMes SIHCC being pu+ in oven. The, awmga value 01"1 We +emp over me how ‘15 (00 «6'5 f0 Httwhf 701') Rem} exeellem ExamplpslvlcéE/h 1 +e><+ om pp. swo— aw 1er (gm ‘MusTmflon how H4836, Ideas aw apph‘ed. Calculus __ 5, 3 [Hermemmns a4 fine Definn‘e Inflow! which (we- value ‘13 yem‘er? befime‘n X: '3 @ x‘=.3 Q1? beereen xzo éx=3 % PM "is populomon 01¢ a crow/th “ii/151+ 'IS 5000 m year Corresponding +0 -t==0. The populmlon‘ts firOwlhfl 61+ a mm 010» (0.5% people. per geale‘ 'Esflmafis +om) MCY€QS6 fr) pO/DUICITJ‘OH m flmeVaMX E To 99+ Hue average/ wimp. overadag) we, could measure, +emp “W’fimes: m+n+n+n+m V} [5qu r? we, )et n-aao and use [31:22..th M .__L_ 31 flfldrt : ave.Temp ever *0 01023. Calculus .7 -‘5J51YH’er, 010:. Defimfal_,m+eem,/ 7, £3 papa/0770'? o-F Mafia) 73 3mm é‘y 7%6 mode] .— m) 6%: 67,327 (maze)1E where ~t=0 Corresponds 7%) mo 0 popummn meawmd 7n milhomoqflpeople. Whairs’ ave. popw'. gen/13 #0 be Mime/0 2000 ($9 2020? I 40—20 , 5’0 . prfldé 5%“ /4 3L mNI/or) .20 v (AL/mm (m I3 (52% l4 '2 3 two/733 Which (we 75 ahead 41%9 / MW? ~— (‘m fl 3024,? DWI/Eb CW 75 aMfld dfléf 0" mm ,7 9’13an 75% W/ga’ : 3 wag/£- :. W4 [mg/M cmva aeyeéazfl” 51W ...
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This note was uploaded on 03/26/2012 for the course MAC 2233 taught by Professor Smith during the Fall '08 term at University of Florida.

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5.3 interpretations of definite integral - Calculus 3

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