In this case I'm trying to put together a rate of change of increase of honeybee numbers between the hive workers and foragers between April and May. The domain is 0-60 days in which the hive will be building up for the summer. H is how many bees are in the hive at one time 40,000. f is the amount of foragers in the hive at the beginning of April which is 20,000 and the same (w) worker bees as 20,000 as well. The basic function that I have is H(t)=(f+w) and the differential equation is.

2. Break down: H(t)=f(x)+w(x)

The rate of increase for the forager bees per day is 5.6 and the rate of increase of worker bees is 8.4 in total the of increase is 14 bees per day.

Good morning I need to answer these questions using the problem above.

1. Determine the intervals for which your function increases and decreases.
2. What are the extreme points of your model?
3. What are the absolute extreme points of your model over its domain?