Q5/ Use the multiple equation Newton-Raphson method to determine roots of equations: x² + xy + y = 7 x3 + y3 Take initial approximation of x = 1.5 and y = 0.5. Note that a correct pair of roots is x =...

Extracted text: Q5/ Use the multiple equation Newton-Raphson method to determine roots of equations: x² + xy + y = 7 x3 + y3 Take initial approximation of x = 1.5 and y = 0.5. Note that a correct pair of roots is x = 2 and y = 1. Q6/ The table below shows the weather forecast of a statistical data for rainfall per six years from 2000 - 2018. Year 2000 2006 2012 2018 Rainfall [mm] 445 568 746 935 a) Find the rate of change of the rainfall on 2012 using central difference formula, b) Find the rate of change of the rainfall on 2006 using three - points forward difference formula, c) Based on the information in (b), estimate the amount of rainfall for year 1994 by using three - points backward difference formula Good Luck Dr. Eng. Qais A. Yousif Subject lecturer Assist. Prof. Dr. Hussien M. Ali Head of the Department