The third choice.
The sides of the photo plus the margins of the border equal x.
Y/x = 9/12 = 3/4
so
y = (3/4)x . . . . . . both x and y in dollars.
Answer:
perimeter = 16x+9x+8x+11
simplified perimter = 33x+11
Step-by-step explanation:
this isnt even close to 100 pts but okay
There are 16 fl oz in 1 pt
so 96 fl oz is equal to 6 pts
answer: 6 pts
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
