Download 1) The adjacent graph represents the function 2) The graph of the

MATH002 TERM111 FIRST MAJOR MASTER CODE
1)The adjacent graph represents the function
2) The graph of the function y
=
1
log(x 112
is decreasing on (2, 3 )
B) is increasing on (2, 03 )
C) is decreasing on (3, 0 3 )
D) lies below the x-axis on (2, 03 )
E) is increasing on (-
03
,
03)
2)1
3) The equation 9'
J
- 2 (3' 'I ) = 27
A ) has only one positive integer solution.
B) has two real solutions.
C) has only one negative integer solution.
D) has two nonreal solutions.
E) has no solution.
2
X
3
1Q
=cl
3 5-3
3 Y 2 2
4) Which one of the following statements is TRUE?
log16
2a
log4
1
= 2 for any real number a > 0, and a t -.
2
2a
B) log(x +y) = logx + logy for all positive real numbers x and y.
C) log(5x) - log(2x) = log(3x) for all real numbers x > 0.
D) log(2x) = 2 logx for all real numbers x > 0.
E) logx2 = 2 logx for all real numbers x.
5) If log3 = t and log2 = x, then 2 + log (0.09) + log5 =
6) If the graph of the function f(x) = log(x - 20) intersects the graph of the
5
function g(x) = log
+ 3 at the point (a, b), then a + b
=
7) If a is the least positive coterminal angle with the angle 65n and
9
reference angle of the angle 5 n then a + P =
-I
P is the
-I
9
8) Suppose that a point P is on the edge of a circle with diameter 20 cm, and
P is rotating with angular speed of'
travelled by P in 6 seconds is
D)
*
7
crn
18
radian per second. The distance
9) If the equation of the terminal side of an angle 8 in standard position is
4 x - 3 y = 0, x < 0, then 4 csce + 9 tan@=
10) Which one of the following statements is TRUE?
C) cos 178" > 0
D) tan 340" > 0
E) sin 370" < 0
11)The value of sin 150' + tan
4
12) In the adjacent figure, p + q =
+ sec 300' is
13) If sin 10" = a, then sin 190" + cos 280" =
14) Sami finds that the angle of elevation to the top of a tree is 60". If he
moves back 50 feet, the angle of elevation from the second point to the top
of the tree is 30". The height of the tree in feet is
15) The function y = sin l x l has
B) range [0, 11
,
C) period of 2 rc
D) domain [O,
1
b
k
a)
E) period of rc
( p b5.LIP
16) If the adjacent graph is a part of the graph of y = A cos Bx , where
0 IB 5 2 n , then Arc + B =
, the function y = - sin
18) Over the interval
on the interval(s)
[ - ]
n
3n
1: 1
C) - -
D)
0 and
'j'
and
l l n 15n
-
lan~
-
5n l l n
17) The function y = - 2 + 5 cos (2 x + 3 n) has
3 n units to the left
A) range = [- 7, 3 1, phase shift = 2
B) range = [- 5, 5 1, phase shift = 3n units to the left
3n
C) range = [- 7, 3 1, phase shift = - units to the right
2
D) range = [- 2, 2 1, phase shift = 3n units to the right
3 n units to the left
E) range = [- 7, 7 1, phase shift = 2
1
is decreasing
19) Which one of the following statements is impossible ?
4 and sec 8 = - 5
B) cos 8 = - 4
5
.
"P
/-CICL
&
i..,
1
L
C) sin 8 = 0.2 and csc 8 = 5
20) The least positive angle coterminal with 750.26" is
9
#
1
'
fc
*
,