Suppose a population p of rodents satisfies the differential equation dpdt=kp2. dpdt=kp2. initially, there are p(0)=3p(0)=3 rodents, and their number is increasing at the rate of dpdt=1 rodent per month when there are p=12 rodents. how long will it take for this population to grow to 101 rodents? months

This is a separable differential equation, so can be solved as follows.

The question asks when the population will reach 101 rodents. That will be the solution to

It will take about 46.6 months for the rodent population to grow to 101.

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: