151formulafF09

151formulafF09 - 1 3 (area of base)(height). Volume of a...

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Formula Sheet for Math 151, Final Exam EXPONENTIAL AND LOGARITHMIC FUNCTIONS e x + y = e x e y , e x - y = e x e y , ( e x ) y = e xy ln( xy ) = ln x + ln y , ln ± x y ² = ln x - ln y , ln( x y ) = y ln( x ) ln( e x ) = x, e ln x = x, a x = e (ln a ) x , log a x = ln x ln a TRIGONOMETRY sin(0) = 0 , sin( π/ 6) = 1 / 2 , sin( π/ 4) = 2 / 2 , sin( π/ 3) = 3 / 2 , sin( π/ 2) = 1 cos(0) = 1 , cos( π/ 6) = 3 / 2 , cos( π/ 4) = 2 / 2 , cos( π/ 3) = 1 / 2 , cos( π/ 2) = 0 tan x = sin x cos x , cot x = cos x sin x , sec x = 1 cos x , csc x = 1 sin x sin 2 x + cos 2 x = 1 , sin(2 x ) = 2sin x cos x, cos(2 x ) = cos 2 x - sin 2 x sin 2 x = 1 - cos(2 x ) 2 , cos 2 x = 1 + cos(2 x ) 2 GEOMETRY Volume of a cone/pyramid:
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Unformatted text preview: 1 3 (area of base)(height). Volume of a sphere: 4 3 r 3 . DERIVATIVES d dx tan x = sec 2 x, d dx sec x = sec x tan x, d dx cot x =-csc 2 x, d dx csc x =-csc x cot x d dx sin-1 x = 1 1-x 2 , d dx tan-1 x = 1 1 + x 2 , d dx sec-1 x = 1 | x | x 2-1 NEWTONS METHOD x n +1 = x n-f ( x n ) f ( x n )...
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