The length of the monkeyface prickleback, a West Coast game fish, can be approximated by L = 71.5(1 - e^-0.1t) and the weight by W = 0.01289 • L^2.9, where L is the length in centimeters, t is the age in years, and W is the weight in grams.
(a) Find the approximate length of a 5-year-old monkeyface.
(b) Find how fast the length of a 5-year-old monkeyface is growing.
(c) Find the approximate weight of a 5-year-old monkeyface.
(d) Find the rate of change of the weight with respect to length for a 5-year-old monkeyface.
(e) Using the chain rule and your answers to parts (b) and (d), find how fast the weight of a 5-year-old monkeyface is growing.