Item # 6. 15 pts Suppose that a population of bacteria for an experiment increases according to the law of exponential growth, i.e. the number of bacteria y changes with respect to time t (in days) according to dy = ry; y(0) = C. dt There were 50 bacteria at the start of the experiment and 100 bacteria 5 days after. a) Find the value of r. Round off your answer to four decimal places. b) How many bacteria are there after 8 days of the experiment? Round off your answer to the nearest whole number. Item 6.pdf + Item # 7. 10 pts Let f be a continuous function. Show that 2022 = xp 2022 (=) dz. Item 7.pdf 3

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