Given linear system AX=B where A=45751627220,B=134, and X=x1x2x3. Use the method of minimal residual x(n+1)=x(n)+n+1(BAx(n)),n=0,1, Perform 8 iterations using the initial approximation X(0)=(011)T. Find x2 after 8 iterations. Round the answer to 4 decimal places after the decimal point. Answer: Question 7 Flag question Create a table of the values of the function f(x)=0xetsin(t2+1)dt on the interval [4.4;5.4] with a step size x=0.1. Interpolate the table using Newton's interpolating polynomial pn(x). Find the interpolation error at x0=5.13 using the formula = f(x0)pn(x0). Round the answer to 4 decimal places after the decimal point. Answer: Question 8 Flag question Given matix A=613119423412312318. Using Cholesky's method find the element l41 of the matrix L. Round the answer to 4 decimal places after the decimal point. Answer: Flag question Solve the Cauchy problem y+[2+sin(1+x2)]y+31+x4y=ln(1+ x),y(1)=4,y(1)=3 on the interval [1,5]. Find y(2.8) accurate to within = 0.0001. Answer: Question 10 Solve the Cauchy problem (1+sin(2x+1)+x)y+(cos3x+x3)y+ln(1+x+x3)=0,y(2)=7 on the interval [2,8]. Find y(7.37) accurate to within =0.0001