Bc Practice Examination 1 Worksheet Page 5
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10Be Practice
Examination
1
607
22. The general solution
of
the differential equation
dy
=
1-
2x is a family of
.
~
y
(A) straight
lines
(D)
parabolas
(B)
circles
(E)
ellipses
(C) hyperbolas
23. The curve
x
3
+x
tan
y
=
27
passes
through
(3,0). Use
local linear approximation
to
estimate the value
of y
at
x
=
3.1. The value
is
(A)
-2.7
(B) -0.9
(C)
a
(D)
0.1
(E)
3.0
(A)
x
sin
x
+
cos
x
+
C
X2
(C)
2'sinx
+
C
(B) x
sin
x
-
cos
x
+
C
24.
f
x
cos x dx
=
(D)
.!.sin
r
+
C
2
(E)
none of
these
(A) lOOn
(B)
200n
(C)
300n
(D)
400n
(E)
1200n
f
4'
l
27.
Iff'(x)
=
hex)
and
g(x) =x
3
,
then ~
f(g(x))
=
.
dx
(A)
h(~)
(B) 3rh(x)
(C) hi (x)
I-+--
2'
~
25. The work done in lifting an
object is
the product of the
weight
of the object and the
distance it
is
moved.
A cylindrical barrel 2
feet
in diameter and
4
feet high is half-full
of
oil weighing 50
pounds
per
cubic
foot.
How
much
work is
done,
in
foot-pounds,
in pumping the oil to the top of the
tank?
26. The coefficient of the
(x
-
8)2
term in the Taylor polynomial for
y
=
X
2/3
centered at
X=
8
is
1
(A)
--
144
1
(B)
--
72
1
(C)
--
9
(D)
1
144
(E)
.!.
6
28.
f;
e-
x12
dx
=
(A)
-co
.
(B)
-2
(C)
1
(D) 2
(E)
co
•
END
OF
PART A,
SECTION
I
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