Answer:
Step-by-step explanation:
we know that
The formula to find the sum is equal to
where
a1 is the first term
an is the last term
n is the number of terms
In this problem we have
substitute the values in the formula
Really really appreciate some help
1 answer:
Answer:
see below
Step-by-step explanation:
We can't help you with using your tools, but we can show you what the solution will look like when you're finished.
If you need to find points on the curve, you can substitute x=0, 1, 2, 3 into the function to see what they are. For example, f(0) = 0²-3 = -3; f(1) = 1² -3 = -2; and so on. The curve is symmetrical about the y-axis, so the points on the left are mirror images of the points on the right.
You might be interested in
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