問題一覧
1
The smallest natural number that have two natural numbers as a factor.
Least Common Multiple
2
A line is perpendicular to the y-axis has a slope equal to:
zero
3
what is a borrower of a particular loan almost always required to do during repayment?
repay the loan over over-agreed upon amount of time
4
the ability to convert assets to cash quickly is known as
liquidity
5
What is the length of the latus rectum of the parabola y=4px²
4p
6
The least common multiple of two or more denominators
Least Common Denominator
7
which of the following is a disadvantage of using the sample range to measure of spread or dispersion?
the largest or the smallest observation (or both) may be a mistake or an outlier
8
Which of the following refers to a quadrilateral with opposite sides parallel and each pairs of opposite sides and angles is congruent
parallelogram
9
If B²-4AC=0, the roots are
equal
10
Example of natural numbers
1, 2, 3, 4
11
1 liter is equal to
1.06 quarts
12
B²-4AC<0, the roots are
imaginary
13
Using power series expansion, find sinh x
x+(x³/3!)+(x⁵/5!)+(x⁷/7!)+...
14
The product of roots x1•x2 is equal to
C/A
15
In an ellipse a chord which contains a focus and is in a line perpendicular to the major axis is a
latus rectum
16
The sum of roots X1+X2 is equal to
-B/A
17
An angular unit equivalent to 1/400 of the circumference of a circle is called
Grad
18
Which of the following refers to an angle having a measure greater than 90° but less than 180°
obtuse angle
19
what is another term for acid test ratio
quick ratio
20
A conic section whose eccentricity is less than one (1) is known as:
ellipse
21
The Fourier series of a waveform possessing odd quarter-wave symmetry contains only
odd sine terms
22
cosh (x), sinh (x), tanh (x) is equal to
cos (ix), -isin (ix), -itan (ix)
23
What are the equivalent values of i¹, i², i³, i⁴?
i, -1, -i, 1
24
Which of the following refers to a three dimensional figure having a polygon as its base and triangles for the rest of its faces meeting at a point
pyramid
25
orthogonal trajectories is equal to
perpendicular slope
26
cosh (jπ/4)
cos (π/4)
27
In the equation y=-x²+x+1, where is the curve facing?
downward
28
A normal to a given plane is
perpendicular to the plane
29
B²-4AC>0, the roots are
real and unequal
30
The mathematical expression (1+I)^n is referred to
compound amount factor
31
Classify zero in number system
whole number and not a natural number
32
The locus of a point which moves so that the sum of its distances between two fixed points is constant is called
ellipse
33
which of the following corresponds to the meaning of annuity
a series of uniform amounts over a period of time
34
If in the Fourier series of a periodic function, the coefficient a0 = 0 and an = 0, then it must be having ____ symmetry.
either (a) or (b).
35
1 yard is equal to
36 inches
36
find the area enclosed by the lemniscate of bernoulli r² = a² cos 2 theta
a²
37
In conic section, if the eccentricity is greater than one (1), the locus is
hyperbola
38
The largest number which is a factor of each of the given numbers.
Greatest Common Factor
39
A given function f (t) can be represented by a Fourier series if it
all of the above
40
1 US gal is equal to
3.785 liters
41
what is "work in process" classified as?
an asset
42
The ____ of a parabola is the line which passes through the focus and is parallel to the directrix.
latus rectum
43
A complex voltage waveform is given by V = 120 sin wt + 36(3wt + pi/2)+12 sin (5wt + pi). It has a time period of T seconds. The percentage fifth harmonic contents in the waveform is
10
44
A point where the concavity of a curve changes or when the slope of the curve is neither increasing nor decreasing is known as
inflection point
45
If in the Fourier series of a periodic function, the coefficient a0, is zero, it means that the function has
any of the above
46
All circles having the same center but with unequal radii are called
Concentric circles
47
1 lb is equal to
16 oz
48
The ____ of a parabola is the line which passes through the focus and is perpendicular to the directrix.
axis
49
What curve is described by the equation y²+4y+x-1=0
parabola
50
1 mile is equal to
5280 feet
51
In the case of a periodic function possessing half-wave symmetry, which Fourier coefficient is zero?
a0
52
Describe the property of (a+b)+c=c+(a+b)
Commutative
53
A periodic function has zero average value over a cycle and its Fourier series consists of only odd cosine terms. What is the symmetry possessed by this function.
even quarter-wave
54
Zero is included in whole numbers.
True
55
it is an amount which a willing buyer will pay to a willing seller for the property where each has equal advantage and is under no compulsion to buy or sell
market value
56
Using power series expansion, find e^x
1+x+(x²/2!)+(x³/3!)+...
57
In the polar coordinate system, the distance from a point to the pole is
radius vector
58
When the negative half-cycle of a complex waveform is reversed, it becomes identical to its positive half-cycle. This feature indicates that the complex waveform is composed of
both (a) and (b)
59
Classify 1 (one) in number system
neither prime nor composite
60
In the waveform of V = 120 sin wt + 36(3wt + pi/2)+12 sin (5wt + pi), the phase displacement of the third harmonic represents a time interval of _____ seconds.
T/12
61
The plane rectangular coordinate system is divided into four parts which are known as
quadrants
62
what is the factor name for the formula (1+I)^-n
single payment present worth
63
Using power series expansion about 0, find cos x by differentiating from sin x.
1-(x²/2!)+(x⁴/4!)-(x⁶/6!)+...
64
Numbers which can be expressed as a quotient of two numbers or a fraction.
rational numbers
65
when using net present worth calculations to compare two objects, which of the following could invalidate the calculation
evaluating over a different period of time
66
which of the following does not affect owner's equity?
license to start operation
67
A periodic function has zero average value over a cycle and it's Fourier series consists of only odd cosine terms. What is the symmetry possessed by this function?
even quarter
68
What curve is described by the equation 4x²-y²+8x+4y=15
hyperbola
69
tan² (j0.78)
j tanh (0.78)²
70
The axis of the hyperbola through its foci is known as
transverse axis
71
A periodic function f (t) is said to possess odd quarter-wave symmetry if
both (b) and (c).
72
A conic section whose eccentricity is equal to one (1) is known as:
parabola
73
The Fourier series of a wave form possessing .even quarter-wave symmetry has only
odd cosine terms
74
The locus of a point which moves so that its distance from a fixed point and a fixed line is always equal is
parabola
75
cosh (ix), sinh (ix), tanh (ix) is equal to
cos (x), isin (x), itan (x)
76
what is the ratio of the sides of the triangle if the product of the sines of its angle is a maximum?
1:1:1
77
Classify 2 in number system
prime and even
78
If the general equation of the conic is Ax²+Bxy+Cy²+Dx+Ey+F=0. If B^2-4AC>0, the equation describes a
hyperbola
79
what is the formula for a straight line depreciation rate?
100 percent-percent net savage value/ estimated service life
80
If the average value of a periodic function over one period is zero and it consists of only odd harmonics then it must be possessing _____ symmetry.
half-wave
81
The product of the slopes of any two straight lines is negative 1, one of the lines are said to be
perpendicular
82
Give example of non-integers
1/2, 0.10 , 3/5
83
an interest earning fund in which equal deposits are made at equal intervals of time for the purpose of gradually accumulating a specific sum of money required at some future date
sinking fund
84
the equation of a limacon is
r = a + b cos theta
85
In a Fourier series expansion of a periodic function, the coefficient a0 represents its
DC value
86
A periodic waveform possessing half-wave symmetry has no
even harmonics
87
What are irrational numbers?
e, π, sqrt of 2
88
1 ton is equal to
2000 lbs
89
1 dime is equal to
10 centavos
90
Which of the following periodic function possesses even symmetry?
cos 3t
91
It represents the distance of a point from the y-axis
abscissa
92
Describe the locus represented by |z+2i|+|z-2i|=6
ellipse
93
If the Fourier coefficient bn, of a periodic function is zero, then it must possess ______ symmetry.
either (a) and (b).
94
1 cup is equal to
8 oz
95
1 is equal to
e^(2kπi)