The population of grasshoppers after weeks is for .
MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions
Problem
The population of grasshoppers after t weeks is P(t)=7500+3000sin(8πt) for 0≤t≤12.
(1) Find:
- the initial population
- the population after 5 weeks.
(2) What is the greatest population size over this interval and when does it occur?
(3) When is the population:
- 9000
- 6000?
(4) During what time interval(s) does the population size exceed 10 000?