Chapter 6.5, Problem 27E

LIFE SCIENCE APPLICATIONS

Pigs Researchers have observed that the mass of a female (gilt) pig can be estimated by the function

$M(t)=-3.5+197.5e^{-e^{-\mathrm{0..01394}\left(t-108.4\right)}}$,

where $t$ is the age of the pig (in days) and $M\left(t\right)$ is the mass of the pig (in kilograms). Source: Animal Science.

a. If a particular gilt is $80$ days old, use differentials to estimate how much it will gain before it is $90\text{days}\text{old}$.

b. What is the actual gain in mass?

c.

d.

e.

f.

g.