Factor this polynomial 8a^2+2a-6
1 answer:
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Answer:
D
Step-by-step explanation:
If we isolate the variable in each given compound inequality, we can quickly realize that D is correct.
x is less than or equal to four (solid point on 4 with line going left), but greater than -1 (open point going right).
Signs with 'or equal to' have solid points, and signs without are not solid.
I hope this helps!
Answer:
a) . It does not have a steady state
b) . It has a steady state.
Step-by-step explanation:
a)
The first step is finding . So:
We have to find the eigenvalues of this differential equation, which are the roots of this equation:
So:
Since this differential equation has a positive eigenvalue, it does not have a steady state.
Now as for the particular solution.
Since the differential equation is equaled to a constant, the particular solution is going to have the following format:
So
C is a constant, so (C)' = 0.
The solution in the form is
b)
The first step is finding . So:
We have to find the eigenvalues of this differential equation, which are the roots of this equation:
So:
Since this differential equation does not have a positive eigenvalue, it has a steady state.
Now as for the particular solution.
Since the differential equation is equaled to a constant, the particular solution is going to have the following format:
So
C is a constant, so (C)' = 0.
The solution in the form is