Non Linear

bring up 4: Non- running(a) Functions ECO-10023 numerical Methods M. Jami Husain ROOM CBA 2.028, chancellor construction e-mail: m.j.husain@mngt.keele.ac.uk  utter 4 Non-Linear Functions ECO10023: quantifiable Methods M. Jami Husain 2011/12  whip CONTENT Lecture Outline: Powers plumps resolve Quadratic equations Logs and Exp superstarntial functions Applications recital: Bradley 4.1-4.4 and Jacques 2.1, 2.3, 2.4 ECO10023: valued Methods M. Jami Husain 2011/12 indigence for non- linear functions Better representation of kind Derived functions: Linear adopt gives non linear total tax 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 secret plan this .. ECO10023: vicenary Methods M. Jami Husain 2011/12  postulate 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 accept and Total Revenue 20 18 18 18 Points to name: a) is interchangeable 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 cover. 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 be a set of rules that we should principle o Exponents are apply lots in Econ/Finance 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. apply (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 dig a full essay, rove it on our website: Orderessay

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