Programming

Formatting¶

For this homework, you will need to edit hw1.py so that when it runs, your answers are printed in the following format (replacing ____ with your answer):

Problem 1 solution follows:
Root 1: ____
Root 2: ____

Problem 2 solution follows:
1/2: ____
1/3: ____
1/4: ____
1/5: ____
1/6: ____
1/7: ____
1/8: ____
1/9: ____
1/10: ____

Problem 3 solution follows:
Triangular number 10 via loop: ____
Triangular number 10 via formula: ____

Problem 4 solution follows:
10!: ____

Problem 5 solution follows:
10!: ____
9!: ____
8!: ____
7!: ____
6!: ____
5!: ____
4!: ____
3!: ____
2!: ____
1!: ____

Problem 6 solution follows:
e: ____

Problem 1¶

Compute and print both roots in ascending order of the following quadratic equation:

$3x^2-5.86x+2.5408$

You will need to use the quadratic equation to solve for the roots:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Problem 2¶

Use a for loop to print the decimal representations of the following fractions, each on their own line:

$\frac{1}{2}, \frac{1}{3}, ..., \frac{1}{10}$

Problem 3¶

Use a for loop to compute the 10^th triangular number. The n^th triangular number is calculated by

$\frac{n(n+1)}{2}$

We have provided a partial solution to solve this problem in the starter code. Your solution should be able to correctly calculate the 11^th, 12^th, etc. triangular number by changing the variable n, for any number greater than 0.

Problem 4¶

Use a for loop to compute 10!, the factorial of 10. The factorial of a number, n, can be calculated by

$1 * 2 * 3 * ... * n$

Similarly to problem 3, your solution should be able to correctly calculate any factorial just by changing a variable.

Problem 5¶

Print the first 10 factorials in descending order (10!, 9!, …, 1!).

The first line of your solution should assign a variable num_lines to 10, and then the rest of your solution should print the correct number of lines and factorial on its own line. Similarly to problems 3 and 4, your solution should be able to work for any number just by changing num_lines.

Problem 6¶

Use a for loop to compute the following value:

$1 + \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + ... + \frac{1}{10!}$

Similar to problems 3 - 5, you should assign a variable to determine how many number of fractions to add. Don’t try to incorporate adding 1 into your loop as that will unnecessarily complicate your solution. Instead, add it to the result either prior or after running your for loop.

Quality¶

Your assignment should pass two checks: flake8 and our code quality guidelines. The code quality guidelines are very thorough. For this assignment, the most relevant rules can be found in these sections:

• Variable Names
• Whitespace
• Line Length
• Documentation

Submission¶

Submit hw1.py on Gradescope under the assignment Homework 1 and fill out the required reflection survey.