Answer:
a - b = 12
Step-by-step explanation:
Given
= 12 ← factor the numerator
a² - b² ← is a difference of squares and factors as
a² - b² = (a - b)(a + b)
Thus
= 12
Cancel the common factor (a + b) on numerator/ denominator, thus
a - b = 12
<span>-16 - w, when w = -23
-16 - (-43) = 27</span>
is conservative if we can find a scalar function 
such that 
. This would require
Integrating both sides of the first equation wrt 
gives
Differentiating both sides of this wrt 
gives
but we assumed 
was a function of and 
, independent of . So there is no such and 
is not conservative.
To find the work, first parameterize the path (call it 
) by
for 
. Then
and the work is given by the line integral,
To solve this problem, we should remember that the percentile rank of a single
value is the rank of that value in the series of data set when that data set is
arranged in ascending order.
Therefore arranging the data set, gives the sequence:
5581, 5700, 5700, 5896,
5972, 5993, 6075, 6274, 6283, 6381
<span>Since we are to find the
30th percentile (30 %) and there are a total of 10 values, therefore
the 30th percentile is:</span>
10 * 30% = 3
<span>This means we look for
the 3rd number in the ordered sequence.</span>
<span>
</span>
<span>Answer: 5700 is the 30th
percentile of the series</span>
