The rate of growth of a population of field mice is in- versely proportional to
ID: 2902473 • Letter: T
Question
The rate of growth of a population of field mice is in- versely proportional to the square root of the population.
A certain area can sustain a maximum population of 100 ferrets. The rate of growth of a population of ferrets in this area is proportional to the product of the population and the difference between the actual population and the maximum sustainable population.
The rate of decay of a given radioactive substance is pro- portional to the amount of substance remaining.
A potato that has been cooking for some time is removed from a heated oven. The room temperature of the kitchen is 65?F. The rate at which the potato cools is proportional to the difference between the room temperature and the temperature of the potato.
Explanation / Answer
1)
let x be the no of mice
dx/dt = k/sqrt(x)
2)
let x b ethe no of ferrets
dx/dt = kx * (100-x)
3)
dx/dt = k ( 1-x)
4)
dT/dt = k * (65-T)
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