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 () ab a b a b aa a a a a a a x xx x x x x x x xy x y yy    2 4 2 bb a c x a  (1 ) ) ) n tn t n tt n n rn t rn n Xr X X X r XX e e  log 1 log log log log log log log log log log log b b b y a b a b xy x y x x y y x x x b   ln 1 ln ln ln ln ln ln ln ln y e xy x y x y x 1 1 ( ) ( ) y fx x fx x x   wz w z x   ay y a 0 ( ) lim x dy f x x f x dx x  '( ) dy f x dx 1 lim(1 ) k k k e  2 3 22 2 33 x x x x x x
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Econ 300 Second Midterm Formula Sheet () yh x f x g x dy hx f x gx dx   y hx kf x dy hx kf x dx ()() () () x f x g x dy f xgx fxgx dx 1 n n x k x dy hx n k x dx kx kx x e dy hx k e dx ( () ) ) () x g f x dy hx g fx f x dx yg u u f x dy dy du dx du dx 2 f x x gx dy f x g x f x g x dx g x () l n 1 o g 11 ln b y fx x dy dx x y x dy dx x b /l n n dQ Q dQ P d Q dP P dP Q d P   00 0 1 1 0 1 (,, . . . ,) ( ,..., ) ( , ,..., ) i x n in yn Fy x x x Fyx x 1 1 1 1 ( ,. .., ) ( ,. .., ) ... n ii m n n i yf x x xg t t x x f tx t x t  
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2nd-midterm-formula-sheet - b b 2 4ac x 2a Econ 300 First...

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