6. A model for the weight of a lizard is described by the differential equation aw dt =(80-W) where W(t) measures the weight of the lizard, in grams, at time t, in weeks. At time t = 0, the lizard weighs 30 grams. a.) Use the tangent line to the graph of W(t) at the point (0, 30) to approximate the weight of the lizard at time t = 1. b.) Find d'2 W dt 2 in terms of W. Use d-w dt2 to determine whether the approximation found in part (a) is an overestimate or an underestimate. Explain your reasoning. c.) Find the particular solution y = W(t) with initial condition W(0) = 30