Bc Practice Examination 1 Worksheet Page 8
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10.,
610
AP Calculus
38. You wish to estimate
e',
over the interval
I
x
I
<
2, with an error less than 0.001.
The Lagrange error term
suggests
that you use a Taylor polynomial at 0 with degree
at least
SE
Pa
(A) 6
(B) 9
(C) 10
(D)
11
(E) 12
Ag
See
39. Find the volume
of
the solid formed when one arch of the cycloid defined parametri-
cally by x
=
e -
sin
e,
y
=
1
- cos
8
is
rotated around the x-axis.
1.
(A)
15.708
(B)
17.306
(C)
19.739
(D)
29.609
(E)
49.348
40.
Which definite integral
represents
the length of the first quadrant arc of the curve
defined by x(t)
=
e',
yCt)
=
1
- t
2?
l~t2
e
~t2
(A)
I
1
+
2:fdt
(B)
I
1
+
2:fdt
-1
e
lie
e
(E)
Ie
-J
e"
+
4t
2
dt
lie
2.
co
(-ltx
2n
41.
For
which function
is
1
the Taylor series about O?
n=O
(2n)!
(C)
sin
x
(D)
cos
x
(E)
In
(1
+
x)
42.
The
hypotenuse
AB
of a right triangle
ABC
is 5 feet, and one
leg,
AC,
is decreasing at
the rate of 2 feet
per
second. The
rate,
in square feet per
second,
at which the area is
changing when
AC
=
3 is
(A)
25
4
(B)
'2
4
3
(C)
--
2
7
(D) --
4
7
(E) --
2
43.
At how many points on the interval
[O,n] doesf(x)
=
2 sin
x
+ sin
4x
satisfy the
Mean Value
Theorem?
(A)
none
(B)
1
(C)
2
(D) 3
(E) 4
44. Which one of the following
series
converges?
=
1
(A) ~
J;;
=
1
(B)
1-
n=1
n
co
1
(C) ~
2n+l
=
n
(D) ~n2+1
=
1
(E)
~
n
2
+
1
45.
The rate at which a purification process can remove contaminants from a tank of water
is proportional to the amount of contaminant
remaining.
If
20%
of the contaminant can
be removed during the first minute of the process and 98% must be removed to make
the
water
safe,
approximately
how long will the decontamination process take?
(A) 2 min
(B) 5 min
(C) 18 min
(D)
20 min
(E) 40 min
END
OF
SECTION I
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education