If
x-formula"> and 
,where is the point (x,y) located?
a) quadrant I
b) quadrant II
c) quadrant III
d) quadrant IV
a) quadrant I
b) quadrant II
c) quadrant III
d) quadrant IV
2 answers:
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Let 
and 
be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function 
subject to the constraint 
.
From the constraint, we find
so we can write the area function independently of:
Differentiating and setting equal to zero, we find one critical point:
which means
, so in fact the largest area is achieved with a square fence that surrounds an area of 
.
From the constraint, we find
so we can write the area function independently of
Differentiating and setting equal to zero, we find one critical point:
which means