I strongly believe the answer is c
Hope this helps in some way:)
Answer:
Step-by-step explanation:
<u>Let's simplify this further to get our answer.</u>
- -5/6(12 - 6x + 18y)
- => -60/6 + 30x/6 - 90y/6
- => -10 + 5x - 15y
Looking at the options, we can say that Option C and B are correct.
Answer:
11.95 - 7.95 = 4
4/7.95 = 0.50314465
0.50314465 X 100= 50.314465
50% rounded to 1dp
ZCAB angle is congruent to ZBAD
Answer:
a) dx/dt = kx*(M - h/k - x)
Step-by-step explanation:
Given:
- The harvest differential Equation is:
dx/dt = kx*(M-x)
Suppose that we modify our harvesting. That is we will only harvest an amount proportional to current population.In other words we harvest hx per unit of time for some h > 0
Find:
a) Construct the differential equation.
b) Show that if kM > h, then the equation is still logistic.
c) What happens when kM < h?
Solution:
- The logistic equation with harvesting that is proportional to population is:
dx/dt = kx*(M-x) hx
It can be simplified to:
dx/dt = kx*(M - h/k - x)
- If kM > h, then we can introduce M_n=M -h/k >0, so that:
dx/dt = kx*(M_n - x)
Hence, This equation is logistic because M_n >0
- If kM < h, then M_n <0. There are two critical points x= 0 and x = M_n < 0. Since, kx*(M_n - x) < 0 for all x<0 then the population will tend to zero for all initial conditions
