Can a computer science tutor that is familiar with PYTHON PROGRAMMING  help me with number 2 AND 3 from the problem statement. 

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Determining the area under a curve: There are several methods to determine the area under a curve numerically. Two of the most popular methods is the Trapezoidal Rule and the 3/8 Simpsons Rule. Below is the Pseudo code as well as the Python program to determine the area under a curve using these two methods. You need to understand how these two methods work. For the assignment, you are required to do the following: 1) Discuss the mathematics underpinning these two methods. 2) Using the PYTHON program given, draw up the flow diagram. 3) Do not copy the pseudocode given but redo the pseudocode in your own words. 4) Write down the PYTHON program given. Trapezoidal Rule: Trapezoidal Method Algorithm | 1. Start 2. Define function f(x) 3. Read lower limit of integration, upper limit of integration and number of sub interval 4. Calcultae: step size = (upper limit - lower limit) /number of sub interval 5. Set: integration value = f (lower limit) + f (upper limit) 6. Set: i = 1 7. If i > number of sub interval then goto 8. Calculate: k = lower limit + i * h 9. Calculate: Integration value = Integration Value + 2* f(k) 10. Increment i by 1 i.e. i = i+l and go to step 7 11. Calculate: Integration value = Integration value step size/2 12. Display Integration value as required answer 13. Stop Determining the area under a curve: There are several methods to determine the area under a curve numerically. Two of the most popular methods is the Trapezoidal Rule and the 3/8 Simpsons Rule. Below is the Pseudo code as well as the Python program to determine the area under a curve using these two methods. You need to understand how these two methods work. For the assignment, you are required to do the following: 1) Discuss the mathematics underpinning these two methods. 2) Using the PYTHON program given, draw up the flow diagram. 3) Do not copy the pseudocode given but redo the pseudocode in your own words. 4) Write down the PYTHON program given. Trapezoidal Rule: Trapezoidal Method Algorithm | 1. Start 2. Define function f(x) 3. Read lower limit of integration, upper limit of integration and number of sub interval 4. Calcultae: step size = (upper limit - lower limit) /number of sub interval 5. Set: integration value = f (lower limit) + f (upper limit) 6. Set: i = 1 7. If i > number of sub interval then goto 8. Calculate: k = lower limit + i * h 9. Calculate: Integration value = Integration Value + 2* f(k) 10. Increment i by 1 i.e. i = i+l and go to step 7 11. Calculate: Integration value = Integration value step size/2 12. Display Integration value as required answer 13. Stop

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Star Trapezoidal method Define the function fx Read lowe... View the full answer