Problem 4.3 (Textbook: Figure 2.5 on PS4): A patient is diagnosed to have P0 cancer 61? cells at time t = 0 and these cells grow subsequently according to E = ch(M P) where PO) is the number ofthe cells at time t while a: and M are two given positive constants. The patient will die when the number ofbugs approaches infinity. Consider the case Po > M, find the time the patient has left to live, timed from t = 0. Your result is a formula with the given parameters P0, M, or. Problem 4.4 (Textbook: Proofs-m 2.4.16 on P121): Consider shooting a bullet of mass m to three different big blocks. The resistance (force) of the first block is assumed to be proportional to the bullet speed, that for the second block is 3 proportional to vi and that for the third block is proportional to v2. lfyou fire at these 3 blocks one by one (separately) with the same initial speed of on for your bullets, compute the farthest the bullet can travel in each of these all three cases. Note that the gravitational force for this problem is negligible