For the following problem, you should refer to Chapter 24.2, which discusses supercoiling and topoisomerases. Assume that B DNA has 10.5 bp/turn. A) What is the linking number of a 5775 bp DNA circular duplex DNA molecule with a nick in one strand? B) What is the linking number if the nick is sealed? C) What is the linking number of the molecule in part B after 10 rounds of enzymatic turnover by the enzyme DNA gyrase in the presence of ATP? (See your textbook for how DNA gyrase changes DNA topology.) D) What is the linking number of the molecule from part C if it undergoes 4 rounds of enzymatic turnover using the enzyme E. coli topoisomerase I. E) What is the superhelical density of the DNA molecule in part D? (See equations 24-1 and 24-2.) F) Illustrate what would happen if you ran an agarose gel on the DNA from part b, part c and part d.