AP CALCULUS
EXAM REVIEW
40 MINUTES – NO CALCULATOR ALLOWED
1)
(1969 AB3) If
(
)
f
x
x
x
x
x
k
x
=
+
−
+
−
≠
=
⎧
⎨
⎪
⎪
⎩
⎪
⎪
2
5
7
2
2
2
,
,
and if
f
is continuous at
x
=
2
, then
k
=
A)
0
B)
1
6
C)
1
3
D)
1
E)
7
5
2)
(1969 AB4)
dx
x
1
0
8
+
=
∫
3)
(1969 AB5) If
3
2
2
2
2
x
xy
y
+
+
=
, then the
value of
dy
dx
at
x
=
1
is
4)
(1969 AB6) What is
lim
?
h
h
h
→
+
⎛
⎝
⎜
⎞
⎠
⎟
−
⎛
⎝
⎜
⎞
⎠
⎟
0
8
8
8
1
2
8
1
2
5)
(1998 BC9) The flow of oil, in barrels per hour,
through a pipeline on July 9 is given by the
graph below.
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
6)
(1969 AB13) The region bounded by the
x
–axis
and the part of the graph of
y
x
=
cos
between
x
= −
π
2
and
x
=
π
2
is separated into two
regions by the line
x
k
=
.
If the area of the
region for
−
≤
≤
π
2
x
k
is three times the area
of the region for
k
x
≤
≤
π
2
, then
k
=

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