Question: A quantity Q satisfies the differential equation
(dQ/dt) = (t/Q) - 0.5
(a) If Q = 8 when t = 2, use dQ/dt to determine whether Q is increasing or decreasing at t = 2.
(b) Use your work in part (a) to estimate the value of Q when t = 3. Assume the rate of change stays approximately constant over the interval from t = 2 to t = 3.