[填空题]
A small population of rabbits inn2*mgmon9p5gu 6zxse eza 35m1j 8m 6k a1 a-:28e a qx f3*hictqevczv1 forest is observed. After t weeks the population is mod i -vfha2:e3qcqea8*tvxz1 c1elled by
$P(t)=\frac{15000}{1+50 e^{-0.6 t}}, \text { where } 0 \leq t \leq 30$.
1. Find $P^{\prime}(t)$=$\frac{ae^{-0.6t}}{\left(1+50 e^{-0.6 t}\right)^{2}}$. a= .
2. Find the rate at which the population is increasing after 10 weeks.$p^'(10)$≈ .
3. Determine the time(s) at which the population is increasing at 1860 rabbits per week. Round your answer(s) to the nearest integer.
4. During which week does the rate at which the population is increasing reach its maximum.
