Question

1. A population of bees is given by P(t) = 20 ∗ e^t/100_∗ cos(t²/1000) + 60, 0 < t < 100 in years and P is in thousands of bees. Assume any trigonometric function presented here is in radians, as is our convention.

P(t) = 20 *e^t/100 * cos(t^2/1000) + 60

1. Which years had a bee population peak?
2. Which years did the population reach a low point?
3. What is the largest the population reached?
4. Allowing for years beyond 100, is there a point when the population would die outaccording to this model? If they do die out according to the model, when does that occur?
5. A rival population of bees has a population function of Q(t) = 20∗e^t/100_∗sin(t²/1000)+

60. What years, between 0 and 100, do the two populations have the same value?

Answer 1