Answer:
4,800 loaves.
Step-by-step explanation:
Solve by utilizing ratios and cross-multiplication.
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
Answer: The 3rd equation is a true proportion
Brainliest please! <3
Answer:
nice
Step-by-step explanation:
So you have 3 pizzas and you’re gonna cut them into 8 slices cause each person eats 2/8ths so therefore in total you have 3 x 8 = 24 slices of pizza. If each person is gonna eat 2 slices you do 24/2 and get 12 so therefore there is enough pizza for 12 people hope this helps :)
