When a disease appears in a population, health authorities record the number of people with active infections. One function that describes the number of infected people in the initial phase of an outbreak is y(t) : 150t2e'1'3t, where t 2 0 is the time in days and y is the number (in units of a thousand) of infected people. (a) (3 points on paper) At what time do we have the largest number of infected people '? I Show all your work. 0 You must fully justify, with explicit reference to the tools and tests of Calculus, that your answer gives the absolute maximum. (b) (1 point Mobius) Now fill in your answers below. FORMAITING: Give either exact values. or an approximation valid to at least three decimal places. At what time do we have the largest number of infected people? Answer: t :2 How many people with active infections are there at that time (in units of thousands)? y :2 Number