QMS 702 Study Guide - Midterm Guide: Function Composition, Chain Rule, Kolmogorov Space

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Put limit into the second formula with k, and solve for k, so in this case f(1)=lim f(x) = k=1/3. P = d(x) = 60 2x2 ; p=s(x) = x2 +9x + 30. Consumer price index : i(t) = -0. 4t3 + 6t3 + 98 ;(0<=t<=15) P=d(x) = 144 - x2 ; p=s(x) = 48. X2 - x2+ 144 48 = 0. 3/2 x2 = - 96 x2 =(2/3)(96) x = sq root 64 = 8 or 8000 units, put. I(cid:859)(cid:894)t(cid:895) = -1. 2t2 + 12t derivative of the equation. At what rate was the cpi changing in 2003? (t=3). Put 3 into the 1. 2t2 + 12 formula, do this with t=6 as well. Find inflation rate at the beginning of 2007. (hint: First put 7 into the -1. 2t^2 + 12t formula, and then put 7 into the original formula -0. 4t^3+6t^2 + 98 , and then divide both numbers to get the rate. Show that inflation was moderating at that time.