1 point Assuming P0 suppose that a population develops accor

(1 point) Assuming P0, suppose that a population develops according to the logistic equation

dP/dt=0.04P0.0002P^2

where t is measured in weeks. Answer the following questions.1. What is the carrying capacity?
Carrying Capacity:

2. What is the value of k?
Answer: k=

3. For what values of P is the population increasing?
Answer (in interval notation):

4. For what values of P is the population decreasing?
Answer (in interval notation):

you 1st 2 parts are not clear.
what do u mean by carrying capacity and K.
They are not mentioned in question

c)
put dP/dt = 0
0.04P-0.0002P^2 = 0
p (0.04-0.0002P) = 0
P= 0 or P = 200

d^2P/dt^2 = d/dt (0.04P-0.0002P^2)
= 0.04-0.0004P

at P=0,
d^2P/dt^2 = 0.04
since d^2P/dt^2 is positive
so, P=0 is minima

at P=200,
d^2P/dt^2 = 0.04 - 0.0004*200 =-0.04
since d^2P/dt^2 is negative
so, P=200 is maxima

So,
Population is increasing for P (0,200)

d)
Populating is decreasing for P(200,infinity)