Chapter 11.3, Problem 93E

Embryo Development Bird embryos consume oxygen from the time the egg is laid through the time the chick hatches. For a typical galliform bird egg, the oxygen consumption (in milliliters) t days after the egg was laid can be approximated by

$C\left(t\right)=-0.016t^4+1.1t^3-11t^3+3.6t\left(15\le t\le 30\right)$

(An egg will usually hatch at around $t=28$.) Suppose that at time $t=0$ youhave a collection of 30 newly laid eggs and that the number of eggs decreases linearly to zero at time $t=30$

days. How fast is the total oxygen consumption of your collection of embryos changing after 25 days? (Round your answers to two significant digits.) Comment on the result. [HINT: Total oxygen $\text{consumption}=\text{Oxygen}$ consumptionper $\text{egg}\times \text{Number}$ ofeggs.]