bearing in mind that "a" is the length of the traverse axis, and "c" is the distance from the center to either foci.
we know the center is at (0,0), we know there's a vertex at (-48,0), from the origin to -48, that's 48 units flat, meaning, the hyperbola is a horizontal one running over the x-axis whose a = 48.
we also know there's a focus point at (50,0), that's 50 units from the center, namely c = 50.
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
.
