Answer:
D it is d my guy you have fun with that
Answer:
Surface area of cone is 
Step-by-step explanation:
Given:
radius of a cone (r) = 8 feet
slant height of cone (l) = 12 feet
We need to find the surface area of cone.
Total surface area of cone = Area of circle 
Area of curved surface
Now we know that,
Area of circle = 
Area of curved surface = 
Hence Total surface area of cone = 
Surface area of cone is .
Answer:
The heat from the sun is making the sand hot and heat from the food on plate is making the plate hot
Answer:
what grade is this?
Step-by-step explanation:
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
