please answer all these question

(a) Table 0411a} shows the data of world population from I980 through 2000. Assume that the rate of change of the world population, P is proportional to the existing population at anytime t Where a = the growth rate Table Q4 (:1 World Poulation 1980 1985 1990 1995 2000 P (million) 4459 4350 5280 5690 6080 {i} Estimate a: by applying the knowledge of 5-point different method. (2 marks) (ii) Use the fourth-order Runge Kutta method to approximate the every 5 years population from 2005 until 2020. Leave all answers in 4 decimal places. (11 marks) (b) Model the following boundary value problem in a matrix form (AX = b) by using the nite difference method without solving it; y" = fl)" + 3x'2y + x'llnx 1 for 1 S x S 1.7 and with do: = 0.1. Given that y(1) = 3.11.?) = 0 (12 marks)