A strain of common bacteria, E.ooli can be lethal when consumed orally. Suppose you found this bacteria that divides in emery:r 35 minutes. Current understanding of this bacteria is that it can be lethal when the bacterial population exceeds 2i] million, the patient will show symptoms of liver failure that can lead to death. (a) Assume that a person had a cup of water that contains 12 bacterial cells. Find how long these bacterial population would take to reach 20 million. [4 points) (b) Find the instantaneous rate of change of the bacterial population after 1 hour of consumption. {2 points]