Write an algoritm (java) for the following:

1.) Algorithm to check whether a number is Palindrome or not.

2.) Algorithm to generate Fibonacci series within a range.

3.) Algorithm to find largest and smallest element of an array.

4.) Algorithm to sort a set of numbers in ascending order and to search an item in that set.

5.) Algorithm to multiply to Matrix using multi-dimensional arrays.

6.) Algorithm to append text to an existing file.