Question 6 III People usually get enough glucose from the food they eat, however people who are seriously ill sometimes need a continuous supply of glucose. Suppose that the rate at which glucose is supplied is 0.9 + 0.8 cos(t), where t is measured in hours. If g(t) is the amount of glucose in the body at time t, the body uses glucose at a rate of 0.2 x g(t) units/hr. If the initial glucose amount in the body is 1.9 units, write down the differential equation (DE) for g(t) along with its initial condition (IC). DE: (use g' for the derivative and g for g(t)). IC: (use g_n for g(n), where n is as appropriate for the IC)