Note: This is the whole questions. For Exercise 6 & 7 & 8 it's asking for a mermaid code through RStudio/Posit Cloud that generates the flowchart. Also if it's not too much to ask could you explain as to how you reached your solution. If your typing the code in text could you have the correct indentations as you would if it was written in python.

Additional Note: If you could answer these questions that would be extremely helpful. I'm aware that I'm asking for a lot in one post and if you can't answer all of them then I asked that you answer as much as you can.

Thank you for taking taking the time to help me with this problem.

Exercise 6 (Bonus) Develop an algorithm that computes the largest integer less than or equal to a real number x0. Draw a flowchart for your algorithm. Hint: The solution to this problem is similar to the example where you computed the smallest integer greater than or equal to a real number x0. Just be mindful of the output. Exercise 7 (Bonus) Develop an algorithm that computes the largest integer less than or equal to a real number x