MATH 142 Study Guide - Midterm Guide: Lorenz Curve, Economic Surplus, Trigonometric Functions
16 Sep 2018
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5. (7. 5) area between two curves (8. 1)integration by parts (8. 3)continuous money flow (13. 3)integrals of trigonometric functions (8. 4)improper integrals. 7. 5 area between two curves e. g. + = ( + 1)12. 1 ()12 = 32 12 () = 525. 4 (8 ) ()12 = 4 8 ()12. 1 + 1 = 1 + 1 () = + = 1. 665 + 0. 386 ( 1. 665) e. g. = 2. 944. Area between 2 curves e. g. () =() =() = ( + 1)2 = 100. 0 () = [1000 ln( + 1) 100] (9) (0) = . 59. 0 () = 100 ( + 1)33 (9) (0) = e. g. aug family income in year t lowest 20%=f(t) t=0 m 1970 highest 5%=g(t) 4 t=42 m 2012 g(t)> f(t) () = 0. 00018443 + 0. 0099382 0. 08515 + 11. 33 () = 0. 011073 + 0. 68542 6. 587 + 193. 3. The larger the number for the lorenz curve l(x), the greater inequality in the distribution of income.
