Number 25 for section 8.1

25. Fish Growth Denote by L() the length of a certain fish at time 1, and assume that this fish grows according to von Bertalanffy's equation dL dt = k(Lx - L(t)) with L(0) = 1 (8.28) where k and Lo are positive constants. It is known that the asymptotic length is equal to 123 in. and that it takes the fish 27 months to reach half its asymptotic length. (a) Use this information to determine the constants k and Lx in (8.28). [Hint: Solve (8.28).] (b) Determine the length of the fish after 10 months. (c) How long will it take until the fish reaches 90% of its asymp- totic length