The population of grasshoppers after t weeks is P(t)=7500+3000sin(8πt) for 0≤t≤12.
a. Find:
- the initial population
- the population after 5 weeks.
b. What is the greatest population size over this interval and when does it occur?
c. When is the population:
- 9000
- 6000?
d. During what time interval(s) does the population size exceed 10 000?