Numerical Methods (Show complete solution please) number 2 only

use Trapezoidal with 3 level Romberg (k = 3) to evaluate 1 TX 4 -nx*cos - dx 2. Using the method of Least Squares, determine to 6- decimal place the necessary values of the coefficient C1 andC2 in the equation from the given data points. (15 pts) 1 y = C1+ C 2x X 5 1 5 6 y 2 . 07 8 . 60 14 . 42 15 . 8 dy = x2+ 2y-3 3. Given dx y(0) =1 Find ) at x =0.5 usingh =0.5