Audrey

A number is cool if the sum of its digits is divisible by 5.

Given an integer n, return the nth cool number.

I already wrote a function that returns the sum of an integer's digits.

Exercise 3. Find all integer solutions to the following system of simultaneous congruences.

9x ≡ 6 (mod 15)

2x ≡ 2 (mod 14)

x = ln(5t)

y = e^(5t)

find dy/dx and d^2y/dx^2

If the binary value 10010011 represented a character transmitted using even parity but was erroneously received as 10110011, would the receiver be able to detect an error? Why or why not?

how do i integrate 1/(1+x)^(1/4) from infinity (upper bound) to 0?

why do you feel heaviest on the bottom of a swing?

The assignment: Write a recursive function index_of_max(nums) that returns the index of the maximum value in the input list of numbers, leaving the original list unchanged.

Here's my code:

def index_of_max(nums):

if nums == []:

return "empty list" #base case 1

if len(nums) == 1:

return 0 #base case 2

else:

x = nums[0]

lst = nums[1:]

if x > index_of_max(lst):

return nums.index(x)

else:

return index_of_max(lst)

I'm supposed to write a recursive function called count_xx(str) that counts the number of times "xx" appears in the input string. The "xx" substrings must not overlap.

function that adds up positive integers in order starting from 1 until the sum is greater than 100 and then displays how many integers we needed to add to get a sum greater than 100 doesn't quite work..

Here is my code:

def howmanyint():

sum = 0

i = 0

while sum <= 100:

sum = sum + i

i + 1

return i

in the absence of air, does it take the same time for a ball to drop a vertical distance H as another ball with a velocity in the x direction? Both balls drop a vertical distance H.