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2nd-midterm-formula-sheet

# 2nd-midterm-formula-sheet - b b 2 4ac x 2a Econ 300 First...

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Econ 300 First Midterm Formula Sheet 0 1 1 1/ 1 1 ( ) ( ) a b ab a b a b a a b b a a a a a a a a x x x x x x x x x x x x x x y xy x x y y x x 2 4 2 b b ac x a (1 ) (1 ) (1 ) n t n t n t n t t n n rn t n t rn t t n X r X X X X r r X X e X X e log 1 log log log log log log log log log log log b b b b b b b y b b a b a b xy x y x x y y x y x x x b ln 1 ln ln ln ln ln ln ln ln y e xy x y x x y y x y x 1 1 ( ) ( ) ( ) ( ) y f x f x f x x f x x x x x   ( ) w z w z x x x ( ) ay y a x x 0 ( ) ( ) lim x dy f x x f x dx x     '( ) dy f x dx 1 lim(1 ) k k k e  2 3 2 2 ( ) 2 ( ) 3 3 x x x x x x x x x x     

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Econ 300 Second Midterm Formula Sheet ( ) ( ) ( ) ( ) ( ) ( ) y h x f x g x dy h x f x g x dx ( ) ( ) ( ) ( ) y h x kf x dy h x kf x dx ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) y h x f x g x dy h x f x g x f x g x dx 1 ( ) ( ) n n y h x kx dy h x nkx dx ( ) ( ) kx kx y h x e dy h x ke dx ( ) ( ( )) ( ) ( ( )) ( ) y h x g f x dy h x g f x f x dx ( ) ( ) y g u u f x dy dy du dx du dx 2 ( ) ( )
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2nd-midterm-formula-sheet - b b 2 4ac x 2a Econ 300 First...

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