The rate at which people are becoming infected (in person per day) during the outbreak of a disease was approximated by the function mentioned below, where x is in days and x =0 corresponds to the start of the outbreak. Complete parts (a) and (b) below. f(x) = 2xe (a) Find the function F(x) that gives total number of people who have become infected by day x given that 12 people were infected when x = 0. Select the correct choice below and fill in the answer box to complete your choice. A. To find F(x), evaluate the antiderivative of f(x). Therefore F(x) = (Type an exact answer.) QB. To find F (x), evaluate the derivative of f(x). Therefore F(x) = (Type an exact answer.) (b) Find the total number of people who have become infected by the end of 6 weeks. The total number of people who have become infected with the disease by the end of 6 weeks is (Round to the nearest whole number as needed. Do not round until final answer)