CSE 101: Computer Science Principles - Mathematical Formula into Python Code - IT Assignment Help

Assignment Task:

Learning Outcomes 

After completion of this homework assignment, you should be able to: 
• Translate a mathematical formula into Python code. 
• Use a multi-way if-statement with relational operators to implement a piecewise mathematical function. 
• Analyze a mathematical problem, derive the formulas needed to solve the problem, and implement a solution in code. 
• Incorporate basic error-checking and handling of invalid function arguments.

1. Evaluate a Piecewise Function:

2. Picking up the Pieces:

Write a function capsule volume() that computes the volume of material required to create a rounded, cylindrical metal capsule with walls of a provided thickness. The function takes three arguments that provide the dimensions of the capsule:

1. length: the length of the capsule in cm
2. radius: the radius of the capsule in cm
3. thickness: the thickness of the capsule’s walls in cm

3. Determine the Ending Time:

Write a function ending time() that determines the final clock time after a task has been completed. The function takes three arguments that provide the current time of day, as well as the total time in seconds that it will take to complete the task:

1. hour: the current hour of the day (0 − 23)
2. minute: the current minute of the day (0 − 59)
3. second: the current second of the day (0 − 59)
4. time_taken: the number of seconds it will take to complete the task (greater than 0)

You may assume that the four input values are always valid.

As an example of what this function computes, consider the test case: 2, 59, 40, 22. This means that the current hour is 2, the current minute is 59, the current second is 40, and the time to complete the task in 22 seconds. So the first three function arguments represent the time 2:59:40 am.

Adding time taken to the current second value updates the second value to 62. Because 62 seconds is ≥ 60 (i.e., at least one minute), the current second value is updated to 2. The minute value must also be incremented by 1 minute, to 60. Similar to how we handled the second value, the minute is set to zero because we have a whole new hour. Finally, the hour value must be incremented by 1 because minute rolled over from 59 to 60 and then to 0. This produces the final result of 3, 0, and 2 for an hour, minute and second, respectively.

The return value of the function is an f-string given in this format: ’h:m:s’, where h gives the updated hour, m gives the updated minute, and s gives the updated second. To keep things simple the returned string should not include leading zeroes. As an example, if the new values for hour, minute and second are 5, 9 and 2, the returned value should simply be the string ’5:9:2’, not ’05:09:02’. Answers that contain leading zeroes will be marked as incorrect.

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