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Review Sheet: Physics, Biology, Economics | M 408K, Study notes of Mathematics

Material Type: Notes; Professor: Ying; Class: DIFFERENTIAL CALCULUS; Subject: Mathematics; University: University of Texas - Austin; Term: Fall 2006;

Typology: Study notes

Pre 2010

Uploaded on 08/31/2009

koofers-user-di6
koofers-user-di6 🇺🇸

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Download Review Sheet: Physics, Biology, Economics | M 408K and more Study notes Mathematics in PDF only on Docsity! Review CO. Lyn SK*) = next n foi auy integer. ct Y~ of" a4) = ea 4 (f-g¥= £09! f f£¥ aie fal ve lich C gy = fief! Gy: ( ae gnso | $12 : Dd. A nea lemopenecss Cd ho Wass measuned trom os let ed et Ce) @ te a vt x %S faalx ae (dkat "Ss “the density ot x 2 oe oO tn aan wet daysiey. ty fhe derivactive i ey He Wass function (Wess —yehveanK~and~ Kies) ax “queresgo. ~dons'ty — betwen — fk, xeax t= (wsss-het- bo xeend ) —~ C wass- bat ~ Corre) = 4x Fer sx) — 26) ax st” dom sicty ts obtained by king. EXK>o Qian tose ~in et £6) OX . ox Tr Wed evargle What is £67 - t vena 4 Para 9g db At m coftan Temperate , for a qiven. mec ty ef (2) : Gas + VE Gs lune) Ceponds on tHe Pressure P. Suppose VQ@= a ee VRy= -S3 eo Vip wee) = 53 ale) = 530 P™) Tsoteawat Couepressch: isry . ad ab Lette ER - P Bel 2 2 p Fleur of Heed. tira « blk wail ¢ v= Ber — «leapt sis bleed vessel ; Viscosity ot blend. Ds tee pressure cdifferrwa between thee endgt fe oh the wesc ve locity gest gradinck = HL inst! rete of Henge A te bey Wik rs 4tov - = Be le) i ky Se = ~ ane + (0- 2h= = ic \ ° Cu op variable cit) Cin, 2597S eo 6 toon POL drag S80) CO ki cose | SOO —_—__—_—. fo SCO @seti) 970, @ (we +1) a — —Sm’ 9 = Ss Sw tab = ( ~ G0 6 (cose+r) ( oS . _ diy 2H & mb sn ~ Boo o 0 (cos!) of -| = SW = bay ae ee fin cos6-I = - > bee ° - p deriratoc of ftex)= Sinx | tee | =Sux- cosly hy- , Stalkth) Sing : the » wha ERT | tenet “Staxrceosht cosy sinh — Stax , corte . a (eosx- sink, 7 - fm [Seeds Se ® sith - Ring as fe At Six ~ feu Cog tien =a ~ depo a oe —t =o. sux 4 sx | = CHK gaxyle Smx )' = Cosx ey fe a. / I Coss) ' eee | CosKy= — SMX <q Le —— / va Ee -tan (x) , +4 way COX: CosK = st . , . Sie. =< ix Csinx) & Ganx)= & Bom tox = ces Ke ibe - I - sex Cos? x Coox . ne | (eux Yo sed'x | b cot Cx) ( Cos Sinx Senx) — osx Cos - eee Ce $. Cost x)= &(Sinx Site RX co -— =" asl. —_ ~csex sin'x owe Sik@y b SecK = aap @ é _ cox0~ LCs alt! z(Seex)= $. Coxe) = soto = LC tir) okt 4 it v x e * ‘ ° 0 x x a six. 0—- |. cos ho “a c py! d - ¢(-)= ————_— mye : He (esex)= GelGne) = ax . 5 _ cose = aa ( Cosx = ex = Siac Sax = —csey cot xX (csex¥= “seca a x dees 2g have a Wevirantal Haupert- fine 7 C4 tows) cA Geex) — SECK- & (i tenx) VO srs NE L £ik)= (Ux \ OO os y . {4 tad'x é ‘ 12 _ Catone \ (Seex ton | Se Seow ~ +H Cem Katee Y stank + BAK — SEEK | CoP = Seek aa ((4-tanx >» = seczX 4tanX — | ged X— ton = \ = BOX eee HarXx —seck = — |
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