Consider the models W ∝ l2g and W ∝ g3. Interpret each of these models geometrically. Ex...

Consider the models W ∝ l²g and W ∝ g³. Interpret each of these models geometrically. Explain how these two models differ from Models (2.11) and (2.13), respectively. In what circumstances, if any, would the four models coincide? Which model do you think would do the best job of predicting W? Why? In Chapter 3 you will be asked to compare the four models analytically.

a. Let A(x) denote a typical cross-sectional area of a bass, 0 ≤ x ≤ l, where l denotes the length of the fish. Use the mean value theorem from calculus to show that the volume V of the fish is given by

Where A ̄ is the average value of A(x).

b. Assuming that Ā is proportional to the square of the girth g and that weight density for the bass is constant, establish that