Non Linear

bring up 4: Non- running(a) Functions ECO-10023 numerical Methods M. Jami ibn Talal Hussein agency CBA 2.028, CHANCELLOR construction e-mail: m.j.husain@mngt.keele.ac.uk Lecture 4 Non- elongate Functions ECO10023: quantitative Methods M. Jami ibn Talal Hussein 2011/12 LECTURE CONTENT Lecture delimitate: Powers functions Solving Quadratic equations Logs and Exponential functions Applications Reading: Bradley 4.1-4.4 and Jacques 2.1, 2.3, 2.4 ECO10023: valued Methods M. Jami Husain 2011/12 Motivation for non-linear functions Better representation of relationship Derived functions: Linear demand gives non linear total receipts function Q = 5 P/3 demand function P = 15 3Q inverse demand function then total revenue is: TR = P.Q = 15Q 3Q2 which is quadratic is Q We can plot this .. ECO10023: Quantitative Methods M. Jami Husain 2011/12 Demand and rack up Revenue 20 18 16 15 18 18 Q 0 1 2 3 4 5 P 15 12 9 6 3 0 TR 0 12 18 18 12 0 14 12 10 9 8 6 4 3 2 0 0 0 6 12 12 12 0 1 2 Quantity 3 4 5 Demand and heart and soul Revenue 20 18 18 18 Points to appellation: a) is symmetrical b) slope non constant 16 15 14 12 10 9 8 6 4 3 2 0 0 0 6 12 12 12 0 ECO10023: Quantitative Methods 1 2 Quantity 3 4 5 M. Jami Husain 2011/12 That was one General slip of paper. e.g.

(2 x ? 3) 2 = (2 x ? 3)(2 x ? 3) M. Jami Husain 2011/12 ECO10023: Quantitative Methods Rules of Powers o There are a set of rules that we should statute o Exponents are used lots in Econ/ pay I. x .x = x m n m+n e.g. x2 times x3 = x5 72.73 =75 xn. x=xn+1 II. xm = x m?n xn e.! g. x5 = x 5? 2 = x 3 2 x M. Jami Husain 2011/12 ECO10023: Quantitative Methods 1 x2 x.x = = 2 = x ?2 x 4 x.x.x.x x Hence: III. x ?n 1 = n x = n , we have x0=1 IV. Using (2) with m xm m?n 0 1= n = x = x x V. (xm)n = xmn M. Jami Husain 2011/12 m=3 and n=2 then (x3)2 =...If you want to collar a sufficient essay, order it on our website: OrderEssay.net

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