Calculate for the mean/ average of the given numbers:
μ = (1 + 2 + 3 + 4 + 5) / 5 = 3
Then, we calculate for the summation of the squares of differences of these numbers from the mean, S
S = (1 - 3)² + (2 - 3)² + (3 - 3)² + (4 - 3)² + (5 - 3)²
S = 10
Divide this summation by the number of items and take the square root of the result to get the standard deviation.
SD = sqrt (10 / 5) = sqrt 2
SD = 1.41
Thus, the standard deviation of the given is equal to 1.41.
ANSWER
The zeros of
are
EXPLANATION
The given function is
To find the zeros of the above function, we just have to equate the function to zero and solve for x.
This implies that,
To graph the above function, we need to consider the multiplicity.
We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.
We also need to consider the position of the graph on the following intervals,
When
The graph is below the x-axis.
When
The graph is above the x-axis.
when
The graph is below the x-axis.
Finally the interval,
when
The graph is above the x-axis.
We can now use the above information to sketch graph as shown in the diagram above.
Answer:
four hundred and forty two
Given
, the solution gives the equation
so that the particular solution is
To verify that this solution is correct, differentiate it, then plug it and its derivative into the ODE and arrive at an identity.
which is true for all
.