there is no additional info this is the entire question The natural growth of a fish population Suppose that in the absence of fishing activities, the fish stock at time t is given by S(t)=1+etSwhereS0SS0. a) Show that (1D) implies that the natural rate of change as a function of the stock size G(S) is given by G(S)=(1SS)S (Hint: Derive S from (11) then substitute for expt by rearranging (1).).