Answer:
(a)
(b) 0.057 sec/month.
Step-by-step explanation:
Let T is the circulation time of a mammal in seconds and m is the body mass in kilograms.
It is given that the circulation time of a mammal is proportional to the fourth root of the body mass of the mammal.
where k is constant of proportionality.
(a) The proportionality constant is 17.4. So, the circulation time of a mammal is
(b)
The above equation can be written as
Differentiate with respect to time t.
Substitute m=38 and in the above equation.
Therefore, the rate of change of the circulation time of the child is 0.057 sec/month.