BC Review 06, No Calculator Permitted, except on #11 & #12
1. Let f and g be differentiable functions with the following properties:
(i)
g x
for all x
0
(ii)
f
0
1
If
h x
f x g x
and
h x
f x g x
, then
f x
x
e
(A)
f x
(B)
g x
(C)
(D) 0
(E) 1
2. The flow of oil, in barrels per hour, through a pipeline on July 9 is given by the graph shown at right. Of the
following, which best approximates the total number of barrels of oil that passed through the pipeline that
day?
(A) 500
(B) 600
(C) 2,400
(D) 3,000
(E) 4,800