Simplify (4x^2 + 20x + 24) / (x + 3)^2
2 answers:
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Answer:
a) is increasing in two regions: (i)
and (ii)
.
b) decreases in
.
Step-by-step explanation:
Let , where
is the quantity of insecticide, measured in hundreds of liters, and
is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of
are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:
(1)
Please notice that regions where C(x) is increasing has , whereas
when
.
We notice that is increasing in two regions: (i)
and (ii)
. Besides,
decreases in
.
