functions write function called matches that takes two strings as arguments and returns how many matches there are between the strings match is where the two strings have the same character at the same index for instance'pythonand 'pathmatch in the firstthirdand fourth charactersso the function should return recall that if is stringthen find(' 'will find the location of the first in the problem is that it does not find the location of every write function called findall that given string and single characterreturns list containing all of the locations of that character in the string it should return an empty list if there are no occurrences of the character in the string write function called change_case that given stringreturns string with each upper case letter replaced by lower case letter and vice-versa write function called is_sorted that is given list and returns true if the list is sorted and false otherwise write function called root that is given number and an integer and returns / in the function definitionset the default value of to write function called one_away that takes two strings and returns true if the strings are of the same length and differ in exactly one letterlike bike/hike or water/wafer (awrite function called primes that is given number and returns list of the first primes let the default value of be (bmodify the function above so that there is an optional argument called start that allows the list to start at value other than the function should return the first primes that are greater than or equal to start the default value of start should be our number system is called base because we have ten digits some culturesincluding the mayans and celtsused base system in one version of this systemthe digits are represented by the letters through here is table showing few conversions ba bb bc bd bt ca cb da tt baa bab bac write function called base that converts base number to base it should return the result as string of base digits one way to convert is to find the remainder when the number is divided by then divide the number by and repeat the process until the number is the remainders are the base digits in reverse orderthough you have to convert them into their letter equivalents