12. If
![](Major1s1239.JPG
)
, then t =
13.
The sum of the solutions of the equation
![](Major1s1280.JPG
)
is equal to:
e) The equation of the horizontal asymptote of the graph
of f is y = 1
Note: All questions are related to the graph of f(x)
(When graphing remember the rule
![](Major1s1145.JPG
)
)
From the graph we see that part (d) is false.
8.
A wheel on a truck has a diameter of 12/p
feet. How far will the truck move if the wheel turns
through 840 degrees.
9. The domain
of the function
![](Major1s1199.JPG)
is:
a) (-¥,-1)
U (0, ¥)
b) (-1, 1) c) (0, ¥)
d) (-¥,
0) U (0, ¥)
________+_________-1______-_______0______-_______1________+________
Thus, the domain is (-¥
, -1) U (1, ¥)
10.
If W(t) is the wrapping function, then W(-17p/3) is equal
to:
16.
Given ln 2 = x and ln 3 = y, then
![](Major1s1383.JPG
)
=
17. The asymptotes
of
![](Major1s1390.JPG)
are given by
![](Major1s1391.JPG)
, where n is an integer, then
asymptotes of
![](Major1s1396.JPG)
are the zeros of
Therefore A = 4 and B = 3
18.
If b, x, y and z are positive real numbers and
![](
Major1s1407.JPG)
, then the expression
![](Major1s1408.JPG)
=
19.
__________________THE END________________
14.
Which of the following is true?
a)
![](Major1s1329.JPG)
for any real number x.
b) If
![](Major1s1331.JPG)
, then x = 1.
c) ln x > 0 for x e
(0, 1).
d) log(3+3) = (log 3)(log 3).
e) log x is always a positive real number.
The log of sums or differences can not be simplified
The range of log x is (-¥
, ¥)
15. The supplementary
angle of
![](Major1s1357.JPG)
is:
----------------------------------------
2. If
![](Major1s0823.JPG
)
, (a > 0, b > 0) has period
p and range [-1,
3], then
![](Major1s0824.JPG)
is equal to:
a)
b)
c)
d)
e)
vertical shift = d =
3.
In the adjacent figure, the expression w + 2x =
a)
b)
c)
d)
e)
1. The solution
set of
a) {
![](Major1s0654.JPG)
}
b) {
![](Major1s0655.JPG)
}
c) {
![](Major1s0656.JPG)
}
d) {
![](Major1s0657.JPG)
}
e) {
![](Major1s0658.JPG)
}
Divide by 2 and then multiply both side by
Mathcad returns the answer in terms of the natural log.
Your may also rewrite the function in standard form
as
![](Major1s1054.JPG)
and then find the values of A, P and S:
6.
Suppose that the terminal side of an angle
q
in standard position lies on the line
![](Major1s1098.JPG
)
where
![](Major1s1099.JPG)
, then
Choose a value for x, say x = 1 ==> y = -3
7. If
![](Major1s1139.JPG
)
, which one of the following is FALSE?
a) The graph of f is decreasing.
b) The range of f (-¥
, 1) .
c) The graph of f has one x-intercept and on y-intercept
d) The graph of f is above the x-axis for x e (1, ¥)
4. If
![](Major1s0093.JPG
)
,
![](Major1s0877.JPG)
, then the graph of f is below the x-axis on the interval
a)
b)
c)
d)
e)
The graph of
![](Major1s1032.JPG)
is the same as the graph of
![](Major1s1033.JPG
)
shifted to the right by
p
/4 and reflected about the x-axis.
As shown in the graph, the interval where the graph
is below the x-axis is (p
/4, 5p/4)
5. The function
![](Major1s1036.JPG)
has amplitude A, period P and phase shift S. Then,
a) A = 2, P = 2p
/3, S = p
/3 to the right
b) A = -2, P = 2p
/3, S = p
/3 to the left
c) A = 2, P = 2p
/3, S = p
to the right
d) A = 2, P = p
/3, S = p
to the right
e) A = -2, P = p
/3, S = p
to the left