(a) The Pacic halibut fishen/ has been modeled by the differential equation, dv/dt=kvi1-i where ylt) is biomass (the total mass of members of the population in kg at time t measured in years). The carrying capacity is estimated to be M = 8 X 107 kg. and k = 0.71 per year. 7 8 (i) If y(0) = 2 x 107 kg. Find the biomass a year later. (ii) How long will it take for the biomass to reach 4 x 107 kg? (b) Show whether statement is true or not. 4 [an . . . . - x is a solution of the differential equation xzy' + xy = 1 The function f(x) =