p.87, icon at Example 3 #2. Suppose we need to prove that this statement is true for all integers n, using the definitions of even integer and odd integer: If 7n 5 is odd, then n is even.

Given the following NDFSM M, the correct statements are: q0 8 b a q1 94 a b a a q2 q5 a 93 L(M) = {w € {a, b}*: w contains aaa or bab or w| is even). OL(M) = {w € {a, b}*: w contains aaa or bab or w| is odd}. L(M) = {w € {a,b}*: The 2nd to the last character of w is a or|w| is even}. L(M) = {w = {a, b}*: The 2nd to the last character of w is a or |w| is odd}.

Suppose that a “word” is any string of seven letters of the alphabet, with repeated letters allowed. How many words begin with A or B?     526     2*(266)     2*(265)     525 Which of the following is the number of words of seven letters of the alphabet, with repeated letters allowed, that have exactly one vowel?     5*206     5*7*206     5*7*216     5*216

A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: 1) The year must be divisible by 4 2) If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines whether that year is a leap year. Ex: If the input is: 1712 output: 1712 is a leap year.  input: 1913 output: 1913 is not a leap year. Your program must define and call the following function. The function should return true if the input year is a leap year and false otherwise.def is_leap_year(user_year) My Code: def is_leap_year(user_year):if((user_year % 4 == 0 and user_year % 100 != 0) or (user_year % 400 == 0)):print("{} is a leap…