What is the pattern of the following sequence? 6, 11, 16, 21, . . .
2 answers:
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The exponent of the power is 11 in scientific notation.
<h3>Given </h3>The numbers are;
The product of (9. 1 × 10^9)(7. 5 × 10^2)
<h3>What is scientific notation?</h3>Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.
To find the product of the given numbers follows all the steps given below.
The product of number is;
Hence, the exponent of the power is 11 in scientific notation.
To know more about Scientific notation click the link given below.
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