Question: 1. Model question Run and time the bubble sort algorithm a number of times for arrays of different sizes. Plot the timing results on a

1. Model question Run and time the bubble sort algorithm a number of times for arrays of different sizes. Plot the timing results on a graph. Try to arrive at an (approximate) formula relating the time taken to the size of the array.

2. Run and time the insertion sort algorithm a number of times for arrays of different sizes.

3. Implement the selection sort algorithm. Run and time your selection sort algorithm a number of times for arrays of different sizes.

4. Implement the quicksort algorithm. Run and time your quicksort algorithm a number of times for arrays of different sizes.

5. Implement further sorting algorithms of your choice. Run and time your sorting algorithms a number of times for arrays of different sizes.

6. Use your implementations to time the execution of (at least) two sorting algorithms for various sizes of array, and plot the results on a graph. Can you arrive at (approximate) formul for how the execution times vary in relation to the data size?

Please it needs to be done in Java.

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