Bc Practice Examination 1 Worksheet Page 7
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_2+---'
Be
Practice
Examination
1
609
33. Let
H(x)
=
f;
f(t)dt,
where
f
is
the
function whose
graph
appears below.
(4,4)
(A)
-2x
+
8
The tangent
line approximating
H(x)
near
x
=
3
is
H(x)=
(E)
2x
-
2
(B)
2x
-
4
(C) -2x
+
4
(D)
2x
- 8
34. The table
shows
the speed
of
an
object,
in feet
per
second,
at various times
during
a
12-second
interval.
time (see)
0
7
367
8
10
12
speed
(ft/sec)
15
14
11
8
3
o
Estimate the distance
the
object
travels, using
the midpoint method with
3 subintervals.
(A)
100 ft
(B)
101 ft
35. In a
marathon,
when
the winner crosses
the finish line
many runners
are still on
the course,
some
quite
far
behind. If the density of runners x miles
from the finish
line
is
given
by
R(x)
=
20[1 - cost I +
0.03x
2
)]
runners
per
mile,
how many are
within 8
miles
of the finish
line?
36. Find the volume
of the solid
generated when the region bounded
by
the
y-axis,
y
=
e',
and
y
=
2 is
rotated
around the y-axis.
(A) 0.296
(B) 0.592
(C)
2.427
(D) 3.998
(E)
27.577
(2
1
37.
lffCt)
=
fo
--2
dx, thenf'(t) equals
l+x
1
2t
1
2t
(E) tan-
1
t
2
(A) 1+ t
2
(B)
1+
t
2
(C)
1+
t
4
(D)
1+
t
4
(A)
30
(B)
145
(C)
111
ft
(D)
112
ft
(E)
150 ft
(C)
157
(D)
166
(E)
195
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