If the function is
and f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.
Given function is
and f(4) − f(1) = f '(c)(4 − 1).
In this question we have to apply the mean value theorem, which says that given a secant line between points A and B, there is at least a point C that belongs to the curve and the derivative of that curve exists.
We begin by calculating f(2) and f(5):
f(2)=
f(2)=1
f(5)=
f(5)=1
And the slope of the function:
(x)=
(c)=0
Now,

=-2
=0
-2 is not equal to 0. So there is not any answer.
Hence if the function is
and f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.
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Answer:
Step-by-step explanation:
The Standard Penetration Test (SPT) is a widely used geotechnical test used to estimate soil strength. A SPT hammer drives a split barrel sampler at the bottom of a drive rod and recovers soil samples.
Answer:
20 quarts of peanut oil worth 19 cents a quart must be mixed.
Step-by-step explanation:
Answer:
The 95% confidence interval for the population mean is between 25.86 and 28.14.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 27 - 1.14 = 25.86
The upper end of the interval is the sample mean added to M. So it is 27 + 1.14 = 28.14
The 95% confidence interval for the population mean is between 25.86 and 28.14.