The autonomous differential equation represents a model for population growth. Use phase line analysis to sketch solution curves for P(t), selecting different starting values P(0). Which equilibria are stable, and which are unstable?
= 1 - 6P
What will be an ideal response?
= 1- 6P has stable equilibrium at P =
,
= -6(1 - 6P)
Mathematics
You might also like to view...
Use the square root property to solve the equation.(x - 5)2 = 36
A. -1, -11 B. 6, -6 C. 41 D. 11, -1
Mathematics
Determine if the sequence is geometric. If the sequence is geometric, find the common ratio.-3, -9, -27, -81, -243, . . .
A. yes, -3
B. yes, 3
C. yes,
D. no
Mathematics
Provide an appropriate response.How many degrees are in a sector of a circle graph if it is to represent 4788 out of a total of 9576? Round to the nearest whole degree.
A. 90° B. 135° C. 50° D. 180°
Mathematics
Multiply and simplify. ?
A.
B.
C.
D.
Mathematics