The functions in Exercises 55 and 56 are examples of the Von Bertalanffy growth function

introduced in the 1930s by Austrian-born biologist Karl Ludwig Von Bertalanffy. Calculate M (0) in terms of the constants a, b, k, and m.

Data From Exercises 55

A 2005 study by the Fisheries Research Services in Aberdeen, Scotland, showed that the average length of the species Clupea Harengus (Atlantic herring) as a function of age t (in years) can be modeled by L(t) = 32(1 − e^−0.37t) cm for 0 ≤ t ≤ 13.

Data From Exercise 56

Transcribed Image Text:

M(t) = (a + (b − a)emt)¹/m