i need help with that with explanations

Question 1 The value of the first derivative of f(iL') : $25 is)\" (13) : 9. 884]. at $ : 2. 4. Which of the following methods is used? m 2 2. 2 2. 4 2. 6 2. 8 f(:1:) 5. 6569 7.1789 8. 9234 10. 9002 13.1188 @ Calculus, this is exact Backward divided difference Forward divided difference Central divided difference 0/1poi Question 3 0 / 1 I Calculate the value of the first derivative using the backward divided difference method for f(0.8) using the following data. x f(x) 0.2 3.8765 0.4 4.2301 0.6 6.7823 0.8 7.0012 1.0 8.9823 1.2 9.3329 Enter your answer with 4 digits after the decimal place. You can either round or truncate the answer, both are considered correct. Answer: Question 4 0 / 1 I Calculate the value of the first derivative using the central divided difference method for f(0.4) using the following data. x f(x) 0.2 3.8765 0.4 4.2301 0.6 6.7823 0.8 7.0012 1.0 8.9823 1.2 9.3329 Enter your answer with 4 digits after the decimal place. You can either round or truncate the answer, both are considered correct. Question 5 Calculate the value of the second derivative using the central divided difference method for f(O.4) using the following data. x f(x) 0.2 3.8765 0.4 4.2301 0.6 6.7823 0.8 7.0012 1.0 8.9823 1.2 9.3329 0/1 Enter your answer with 4 digits after the decimal place. You can either round or truncate the answer, both are considered correct. Use Eulers method to evaluate y(0.30) given that ('11: = 3e\"E l 2y and y(0.15)=3.05. Enter your answer using 4 digits after the decimal place. You can either round or truncate the answer, both are considered correct. Answer: Use the RK2 method to evaluate y(1.05) given that % 2 3e\"' + 2y and y(0.90)=22.3054. Enter your answer using 4 digits after the decimal place. You can either round or truncate the answer, both are considered correct