FinalFormulas2009Corrected

# FinalFormulas2009Corrected - 2 f ( x ) dx- 2 = p V ar ( x )...

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sin 2 x + cos 2 x = 1 a b a c = a b + c log b ( a c ) = log b a - log b c a b a c = a b - c log b a c = c log b a ( a b ) c = a bc log a = log 10 a log b ( ac ) = log b a + log b c ln a = log e a log b ( a c ) = log b a - log b c log b a = ln a ln b average value = 1 b - a R b a f ( x ) dx volume (revolution) = R b a π [ f ( x )] 2 dx D = f xx ( a,b ) f yy ( a,b ) - [ f xy ( a,b )] 2 F ( x,y,z,λ ) = f ( x,y,z ) - λg ( x,y,z ) f 0 ( x ) = lim h o f ( x + h ) - f ( x ) h Geometric Sequence: a n = a 1 ( r ) n - 1 , n = 1 , 2 ... Sum of First n terms: S n = Σ n - 1 i =0 a 1 r i , = a 1 ( r n - 1) ( r - 1) ,n = 1 , 2 ... Sum of a Geometric Series: a 1 1 - r , | r | < 1 E ( x ) = μ = R b a xf ( x ) dx V ar ( x ) = R b a x
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Unformatted text preview: 2 f ( x ) dx- 2 = p V ar ( x ) Uniform Distribution f ( x ) = 1 b-a , x [ a,b ] = a + b 2 = b-a 12 Exponential Distribution f ( x ) = ae-ax = 1 a = 1 a Standard Normal Distribution (use tables) = 0 = 1...
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## FinalFormulas2009Corrected - 2 f ( x ) dx- 2 = p V ar ( x )...

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