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
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
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(D) sin(3x)+ C
(E) 3sin(3x)+ C
z.
*
tin 2"u, 6t1 i
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 equalleng
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x =  ?'
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
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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
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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
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19. Let/ be the function given by f(*) = *3  612. The graphof / is concaveup when
l(A) x>2
ffi
A
L\
t\
2
,A
= )/z lll
F'k\
f'\fi= 6x *lL =O
^ /. .
\
(C) 0<x<4
(D) x<o
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I I  / / cfw_a
I t t/7".
I I I I l/'
I
ttl
ttl
ttl
ttl
  I /'
I   I t/.
/
/
I
/ / I /t/0
/ / / tt.
/
/
/
.t '
/ / / z '
/,a.2,
\ \ \ \
\
\
\
I
\
I
\
\
\
\
\
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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
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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+
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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 i
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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)