Answer Happy

An enthusiastic physics student constructed a model to describe the size of the bee population in Britain. If B(t) describes the number of bees as a function of time, she found that B(t) satisfies dB (t2 3t + 2 B=0, t+1 where p is a constant quantifying the effect of pesticides. p + P dt = (a) Find B(t) in terms of t, p and Bo, where Bo is a positive constant and B = Bo Во when t=0. (b) Show that B(t) has two stationary values whose ratio is (3/2)6P e 6pe-5p/2 (c) Describe the behaviour of B(t) as t + too for the case where p > 0 and for the case where p < 0. In separate diagrams, sketch the graph of y = B(t) for t > 0 for each of these cases. = -