c. Write MATLAB codes for the following methods. 1. Jacobi's Method 2. Numerical Differentiation a. 2 Point Formula b. 3 Point Forward Difference 3 Point Backward Difference d. 3 Point Central Difference 5 Point Central Difference 3. Numerical Integration a. Trapezoidal Rule b. Composite Trapezoidal Rule for 5 Points c. Simpson's Rule d. 3/8 Simpson's Rule e. 4. Euler Method 5. R-K Method Note: Use the exact questions that you solved in the class for the respective methods and compare your results 10:46 X IMG_0897.HEIC ... 1. Trapezoidal Rule:- : anno mil RB value [Actual Size - col-value Elmoi x loo Acual size value TOO x 100 2.80010 - 292302 2.800 lo -4.56840 . 2. 3 point Simpson Rule ja ant san med vake Go Encor = Actual-size - el. value slo Achu value. kloo a loo 2.80o102 2.800 to 2.800 / -0.01785 Page # 10:46 IMG_0898.HEIC ... Date: 3. 3/8 Simpson Rule:el. labiau Xlod Carl Escola Aucal value bol Actual value (2.80010 2.80033 on 2.80010 - 8.213992 4. Composit Trapezoidal Rule Error 12.80010 - 2.80822 2.80olo Xloo 0.28998 Page# 10:46 X IMG_0899. HEIC .. Date: 5. Boole's Pale in "?(4) dx = 7ht / +32 / () #12f (42) +324(%. St 7$(ko) OD 20 S SODES h 20.375 U. z 1.5 1 = 1.875 U = 2.25 Uz n 23 2 2.625 15 Ti aludu =7(0.375) (118) ln (1.8) + 32 (1.875) In/7.876) +12(2.28) In (2.25) + 32 (2.625) ln (2.625)+ 763) in (3) qo =25.65366 Page 10:46 IMG_0900.HEIC ... Date: Error - Actual value - Calculated value Actual valve. xloo 2.800 25.68366 2.86010 -816.1694226