Question 1 [8 marks] A disease is spreading through a region according to a rate of. 150t N'(t) = 72 + 5 ' where N(t) represents the number of people infected after t days. 150t a. Evaluate dt and interpret your result in the context of the question. 12 + 5 b. Find the average value of NV (t) between days 0 and 13 and interpret the result in the context of the question. Question 2 [7 marks] Evaluate each of the following integrals by hand. a. ( 3x cos(r) di b. In(r )dr