In java  Develop a function that accepts an array and returns true if the array contains any duplicate values or false if none of the values are repeated. Develop a function that returns true if the elements are in decreasing order and false otherwise.  A “peak” is a value in an array that is preceded and followed by a strictly lower

In java 

1. Develop a function that accepts an array and returns true if the array contains any duplicate values or false if none of the values are repeated.

2. Develop a function that returns true if the elements are in decreasing order and false otherwise.

3.  A “peak” is a value in an array that is preceded and followed by a strictly lower value. For example, in the array {2, 12, 9, 8, 5, 7, 3, 9} the values 12 and 7 are peaks. Develop a function that returns the number of peaks in an array of integers. Note that the first element does not have a preceding element and the last element is not followed by anything, so neither the first nor last elements can be peaks.

4.  Develop a function that finds the starting index of the longest subsequence of values that is strictly increasing. For example, given the array {12, 3, 7, 5, 9, 8, 1, 4, 6}, the function would return 6, since the subsequence {1, 4, 6} is the longest that is strictly increasing.

5.  Develop a function that takes a string and a single character, then returns a list of the indexes in the string where the character occurs. For example, given the string “bookkeeper” and ‘e’, the function would return {5, 6, 8} since ‘e’ occurs at those positions. Return an empty list if the character does not appear in the string even once.

6.  Develop a function that takes two lists of integers and returns a list containing any value that appears in both parameter lists.