qb_cover_F2007

# qb_cover_F2007 - 2/3-1 2 3 2 3/4 2 2 2 2 5/6 3 2 1 2-1,0...

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Unformatted text preview: 2/3 ( -1 / 2, 3 / 2) 3/4 (- 2 / 2, 2 / 2) 5/6 (- 3 / 2, 1 / 2) (-1,0) 7/6 (- 3 / 2, - 1 / 2) 5/4 (- 2 / 2 , - 2 / 2) ( -1 / 2, - /2 (0,1) /3 ( 1 / 2, 3 / 2) /4 ( 2 / 2, 2 / 2) /6 ( 3 / 2, 1 / 2) = 0 or 2 (x,y) = (1,0) 11/6 ( 3 / 2, - 1 / 2) 7/4 ( 2 / 2 , - 2 / 2) x = log y y = x = arcsin x x = sin x -2 -1 0 1 2 log y x -2 -1 0 1 2 y -/2 -/4 0 /4 /2 arcsin x sin -1 -1/ 2 0 1/ 2 1 x 4/3 3 / 2) x = cos 3/2 (0,-1) 5/3 ( 1 / 2, - 3 / 2) y = sin ln(ab) = ln(a) + ln(b) ea+b = ea eb ln(ex ) = x sin(arcsin x) = x ln(a/b) = ln(a) - ln(b) ea-b = ea /eb eln y = y arcsin(sin ) = ln(cp ) = p ln(c) (ec )p = epc log x = (ln x)/(ln ) tan(arctan x) = x ln(e) = 1 e1 = e x = ex ln arctan(tan ) = ln(1) = 0 e0 = 1 [ln x] = 1 x [ln g(x)] = g (x) g(x) [ln |x|] = 1 x [ln |g(x)|] = g (x) g(x) [ex ] = ex [arcsin x] = 1 1-x2 [eg(x) ] = eg(x) g (x) [arcsin g(x)] = g (x) 1 x 1-g(x)2 [ x ] = (ln ) x [arctan x] = x dx = 1 1+x2 [ g(x) ] = (ln ) g(x) g (x) [arctan g(x)] = g (x) 1+g(x)2 ex dx = ex + C 1 1-x2 dx = ln |x| + C dx = arctan(x) + C x ln +C dx = arcsin(x) + C 1 1+x2 Area() = b a [h(x) - g(x)] dx. Vol(S) = b a [h2 (x) - g 2 (x)] dx. ...
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## This note was uploaded on 03/20/2008 for the course M 408c taught by Professor Mcadam during the Spring '06 term at University of Texas.

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