Chapter 5.3, Problem 62E

Embryo Development The daily oxygen consumption of a turkey embryo increases from the time the egg is laid through the time the chick hatches. In a brush turkey the oxygen consumption can be approximated by

$c\left(t\right)=-0.028t^3+2.9t^2-44t+95\text{ milliliters per day }\left(20\le t\le 50\right),$ where t is the time (in days) since the egg was laid (An egg will typically hatch at around $t=50$.) Use the model to estimate the following (give the units of measurement for each answer and round all answers to two significant digits):

a. The daily oxygen consumption 40 days after the egg was laid

b. The rate at which the oxygen consumption is changing 40 days after the egg was laid

c. The rate at which the oxygen consumption is accelerating 40 days after the egg was laid