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SurveyofCal Formula sheet - Fall 2002-MJ Survey of Calculus...

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Unformatted text preview: Fall 2002--MJ Survey of Calculus Formula Sheet Please do not write or make anz marks on this formula sheet d LEI/"(1} g(x)] = f'(X)~ 3(1) +f(x) ' g'(x) v(t) = s'(t) Profit = Revenue .. Cost P=2L+2W A V=LWH V=1tr2L mt r A: 1+— m y y = log“ x H a = x In (MN): Nln M In e"=x d ’ t RR(t)=—lnf(t)=& d! f(') b C: IMC(x)dx a 1 b Average value= If(x) 11x b—a a A P6. = ({[SUD —3(x)] dx df = f '(x)dx 1 n+1 In'flu : 11”“ + C d “[C-f(x)]=c-f'(x) dx a' —[f(X) i 3(1)] = f'(X) i g'(X) dx i{fl] : gumbo — goo-rm dx gm [gem2 d em = W!) = s"(t) : mm» = /'(g(x» - gm .1: Revenue = unit price a! quantity 005’: = variable cost * quantity + fixed costs =LW C=27cor A=7zor2 1 4 « V=—7rr2h V=—n-rJ SA=4TEI2 3 3 A = Fe” P(t) = Poekt M ln(MN)=|nM+InN In —— =|nM—|nN N In 1 = O In e = 1 e'” x = x consumer expenditure = price x demand - p~D’(p) b b Eon = -— I fir) dx = Fooia = Fa») —F(a) DOD) a b b A = If(x)dx Tote! accumulation = If(x) dx a a b A Area = [Um-gm] (11 a 1 GI = lé[x-L(x)] dx D = f“ (a, b) - fw (a, b) 4‘, (a, m]2 Inildu : lnlul +C as, = (j;[d(x)~d(A)] d): P(L, K) = aL"K“" F(X, y. M = f(><, y) + A - 9(X. y) eudu 2e" + C I ...
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