part.B please use Octave to solve it

or Matlab. Part A. (20%) A. 1 Using the error analysis for the trapezoidal and rectangle rules, show that A.2 Explain why the rectangle and trapezoidal rules can integrate a straight Part B. (20%) Simpson's rule for integration over the entire interval is fourth-order accurate. line exactly and the Simpson's rule can integrate a cubic exactly Use the Richardson extrapolation to comput e ,(1 .0) and f ,( 5.0) to five place accuracy with f = (r+0.5)-2. Use the central difference formula 2h atud take the initial grid spacing ho 0.5. The ot her grid spacings you may choose, for example, ilre hi = 0.5ho, la 0,5h. h3-0.5h2-14 0.5ha, etc. Does!"(1D) 'r f,(5.0) ouivrge faster? Can you explain the reason? Part C. (21)%) We would like to calenlat or Matlab. Part A. (20%) A. 1 Using the error analysis for the trapezoidal and rectangle rules, show that A.2 Explain why the rectangle and trapezoidal rules can integrate a straight Part B. (20%) Simpson's rule for integration over the entire interval is fourth-order accurate. line exactly and the Simpson's rule can integrate a cubic exactly Use the Richardson extrapolation to comput e ,(1 .0) and f ,( 5.0) to five place accuracy with f = (r+0.5)-2. Use the central difference formula 2h atud take the initial grid spacing ho 0.5. The ot her grid spacings you may choose, for example, ilre hi = 0.5ho, la 0,5h. h3-0.5h2-14 0.5ha, etc. Does!"(1D) 'r f,(5.0) ouivrge faster? Can you explain the reason? Part C. (21)%) We would like to calenlat