1 Within this context Xt n Xt 0 6 r 0 05 Plug in the formula with Solution to Problem Set 2 Xt n Xt 1 r n 1 r n Xt n Xt cid 18 Xt n Xt cid 19 cid 30 cid 19 cid 18 Xt n Xt ln n ln 1 r n ln ln 1 r 9 96 ln 0 6 ln 0 95 ln cid 19 cid 18 x4 y3 xy2 2 ln x4 2y4 3 6 ln x ln y exp logb b2 exp 2 logb b exp 2 log9 27 log3 27 log3 9 3 2 discrete rate i e we have 2 1 2 3 3 1 2 Plug 4 in 3 x 2y 4z 3a 2b y 2x 2z 2a z x y b x y 2 x y 2z a 2b x y 2z a 2b z 2z a 2b b z a 3b 1 1 2 3 4 5 1 2 x y 2 x y 6z 5a 2b x y 2z a 2 3 b 5 3 2 3 b x a 1 3 4 6 1 2 4 6 1 2 y 2z a b 2 a 3b a b a 4 3 4 3 2 3 14 3 b 4 3 4 3 Therefore the closed form for x y z are 5 7 and 8 6 7 8 Calculate the di erence quotient with respect to a and b Since a and b increases by 2 and 3 respectively and simultaneously plug in a 2 and b 3 we have x a 1 3 2 3 z a 3b a y b 2 3 14 3 b x a 1 2 3 3 14 2 3 3 z a 3 b a y b b x 2 3 1 3 2 3 2 3 14 3 y 2 3 z 2 3 3 11 4 3 46 3 2
View Full Document
Unlocking...