Chapter 12.3, Problem 61E

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

$c\left(t\right)=-0.065t^3+3.4t^2-22t+3.6\text{ milliliters per day }\left(8\le t\le 30\right),$ where t is the time (in days) since the egg was laid. (An egg will typically hatch at around $t=28$.) 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 20 days after the egg was laid

b. The rate at which the oxygen consumption is changing 20 days after the egg was laid

c. The rate at which the oxygen consumption is accelerating 20 days after the egg was laid