Math002
Director: Dr. Alshammari
EXAM I
Term 132
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Code 0
1) If f ( x ) = x 2 - 3 , x 2 0 t h e n f l ( x ) e q u a l s to
6
2 ) If h ( x ) = (gof ) ( x ) ,where f ( x ) = and g ( x ) = -1 ,then h-'(x) =
x-3
X
EXAM I
Term 132
Math002
Director: Dr. Alsharnmari
Page: 2
Code 0
3) The adjacent figure represents the graph of :
) f ( x ) = - 2 x + 2 +3
A
B) f ( ~ ) = - x2+ 2 - 3
C) f ( ~ ) = - 2 ' - ~ + 3
?k
D) f ( x ) = - 2 x - 2 - 3
E) f ( ~ ) = - 3 ' - ~ + 2
1
1
4) If f ( x )= log3( X + 4 ) which one of the following statements is TRUE
about f ( x ) ?
,/A)
The graph of f is increasing over the interval [-3, a)
B) The graph of f is increasing over the interval ( - 4 , -31
C) The domain of f is [ O f a)
D) The range off is [ - 3 , a)
E) The graph of f has an asymptote x = 4
i h g~r a p h
I ~ c ers s i n q
>x
bflP*
I
i
33.-CI
.
~ x e - ~ o r
Math002
Director: Dr. Alshammari
EXAM I
Term 132
5) If m > 0 and n >O ,then the expression
1 log5(m) + -log5
3
(2n) - logs (m2n) can be written as :
2
2
6) If ln(2) = x and ln (6) = y ,then log4 (24)+ logs (12) is equal to
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Code 0
Math002
Director: Dr. Alshammari
EXAM I
Term 132
Page: 4
Code 0
7) The solution set of the equation log5 (x + 6 ) + log5(x + 2 ) = 1 consists
of
A) one negative integer .
1
B) two negative integers.
X\gXt12
XI+ g x +
C) one positive integer.
D) two positive integers.
C % +I
E) one positive integer and one negative integer.
----
P -
T
0
)C%t7) ="
x=
f= -
c r cjcc4 $
S e c - ( q . r ) sr,dcY +O e ~ a ~ l ~ l e . ?
8) If 0 = - 512 '20', and a and P are the reference angle and the least
positive coterminal angle of 0 respectively, then a +P =
Math002
Director: Dr. Alshammari
EXAM I
Term 132
Page: 5
Code 0
9) If the equation of the terminal side of 8 in standrad position is
x + 2y = 0 , x e 0 ,then sin8 - cos8 =
E) 45
Set-(5Z) -
c ~wl.-p
le. 3
10) Which one of the following statements is FALSE ?
.I/ A) (sine + cos8 )' =l for all angles 8.
8 ) is positive
B) If 90 < 8 4 8 0 ,then cot ( 2
C) If sece < 0 and csc8 < 0, then 8 lies in Quadrant 111.
D) If tan8 < 0 and cot8 < 0 , then 8 lies in Quadrant I1 or IV.
43
E) If csc8 = 2 and 8 in quadrant I1 ,then cos8 = - 2
Director: Dr. Alshammari
EXAM I
Term 132
11) The exact value of tan(675 O )cos(-240 ) - csc(495 O ) is
and cote = 3d7 ,then cose =
7
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Code 0
Math002
Director: Dr. Alshammari
EXAM I
Term 132
Page: 7
Code 0
13) A wheel has a radius 25 feet, if it takes the wheel 30 seconds to
turn 150 ',the angular speed of the wheel is :
75n
C) -;- radian /sec.
125n radian /sec.
7
Scc-(6-t)\
~ U A / CJq~
\D\,IO 2
Math002
Director: Dr. Alshammari
EXAM I
Term 132
Page: 8
Code 0
15) The length of an arc intercepted by a central angle 135",in a
circle of radius 271 cm. is
A
B)
*
2
cm.
372 cm.
9
3 cm.
C) 8
3 cm.
D) 2
E)
7
' 1'
cm.
3
1
16) log5(l) - ln& + 3
- log3 (27)
+ log4
(32) equals to
Math002
Director: Dr. Alshammari
EXAM I
Term 132
Page: 9
Code 0
17) Mohammad wants to find the height of a tree. From a point on the
ground he finds that the angle of elevation to the top of the tree is 60 O .
He then moves back 50 meter.From the second point, the angle of
elevation to the top of the tree is 45 O , the height of the tree is
Xz F B
r,- \
Y
)
K+ - s o [ q t q-- * C ( G f \P-?
\
2
V7-t
y = q%.=
Y^3 ( 2 PIC
ZYT
+
C1
18) If tan(71 O ) = b ,then c s ~ ~ ( )1+91=
~
JA)
b2+2
A
7)-T
Math002
Director: Dr. Alshammari
EXAM I
Term 132
20) If a is the solution of the equation :
Page: 10
Code 0
[:]-'=[$r+'