then/'(x)=
DnfCrrfux)]=
a. If f (x) = cos3(4r),
(A) 3cos2
(4x)
B
= 3 [.r", (Vx)
]?
(C) 3cos2(ax)sin(ax)
(E) 4sin3 (4"r)
 12 . os"' (/r)
5 . Thefunction given y f ( x ) = 2 f
b
f
(B) 0
I
a,= I
b='"1
C=f,
/t.lt
'(r)
S,h (,tt,)
 3xz  l2x hasarelativemin
Zoog Ag ?r".hra
Yrt'
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=
Jcos(3,r)ar
1.
v = ix
Z(r*,);J
=+ s,vJ+c
)
(A)  3 s i n ( 3 x ) +C
I
(B) ]sin(3x) + c
C@
(D) sin(3x)+ C
(E) 3sin(3x)+ C
z.
*
tin 2"u, 6t1 i,
x+0 /,f
(A) 0
y Jar
(B)
I
z
(c) I
(E) nonexistent
r
0
f(*)
L
4
6
4
t.
8
t2
8. The function/ is continuous the closed
on
interval[0,6] andhasthe values
givenin the tableabove.
The trapezoidal
approximation
for
Il ruldx
foundwith 3 subintervals equallengthis 52. What
of
is the valueof k ?
(A) 2
(B) 6
(c) 7
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11. What is the slopeof the line tangentto the graphof v = cfw_;
"
e)+ @)+ to:
x
lar kr,)

(A) :
( x r.t)^ _
.' J
Z= :e:fr^
y'(t)
LI)
'
t

(nfu+t)+Il
^%
(Xr0'
*35'=lF)
l.JLl \
I
f(r)
rz.If f'(x) =1 ^o
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13.
(A)
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Jlx'+tJ dx
/t3
( t+
1"
)
fl
I
r2
7x'+x+C
t.
1
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2/' ]l
f +/
I
r d +(
(c) 6x2(x3+cfw_+c
+
ro)+(*'+t)3 c
(r' + t)'
( E )+ + c
(2+h\
14.
lim*=
ft+0
(A) 0
2
h
(B) 1
0xt
.ul^gr\ X =J
(C) 2e
(E) 2e2
GO ON TO THE NEX
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16.If f '(x) = l;r  21,whichof thefollowing
could thegraph y = f (*)t
be
of
cfw_\
(A)
(B)
'\
9lt *
"
r2345
ix."pto
/]
5!
17. What is the areaof the regionencloseci the graphs
by
of
f (x) = x _ 2x2 and g(x) = 5x ?
i,*
$rr)
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eb
Graphof /'
2 l . T h e g r a p h o ff ' , t h e d e r i v a t i v e o f t h e f u n c t i o n / , i s s h o w n a b o v e f o r 0 ( . r < l 0 . T h e a r e a s o f t h e r e g i o n s
'
If
betweenthe graph of f andthe .r
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as
23. The graph of the evenfunction y = f (x) consistsof 4 line segments, shown above.Which of the following
'
A
about/ is false?
statements
a
(A)
r$(/(;;@;=;
x\'50+A =o y9
:J +'ta)^) Atre
'x
Scr.):
(, r(,1e4^.J.n^
t
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in
At
24. The radius of a circle is increasing. a certaininstant,the rate of increase the areaof the circle is numerically
in
What is the radiusof the circle at that instant?
equal to twice the rate of increase its circumf
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t
2 6 . F o x > 0 , / i s a f u n c t i o n s u c h aft' (\ x, /) = +
r
trx'
a n d' ( \x' ,) =
J
f "
1lnx.
.
.
1
W h i c h o f t h e f o l ling isntrue?
owi gi
(A) / is decreasing x > 1, and the graphof / is concave
for