P2 Two students with a flu virus return to an isolated disease free university campus of 10,000 students follows a logistic model. After 6 days 100 students are infected. If x(t) represents the number of infected students on day t, then x(t) follows the logistic model dx =kx(10,000-x), x(0) = 2. dt a. Show that x(t) = 10,000 1+4999e-10,000kt b. Find the value of -10,000k.