暗記メーカー
ログイン
Math
  • Hazel Lynn Ramos

  • 問題数 95 • 11/13/2023

    記憶度

    完璧

    14

    覚えた

    35

    うろ覚え

    0

    苦手

    0

    未解答

    0

    アカウント登録して、解答結果を保存しよう

    問題一覧

  • 1

    What are irrational numbers?

    e, π, sqrt of 2

  • 2

    What are the equivalent values of i¹, i², i³, i⁴?

    i, -1, -i, 1

  • 3

    Example of natural numbers

    1, 2, 3, 4

  • 4

    Zero is included in whole numbers.

    True

  • 5

    Numbers which can be expressed as a quotient of two numbers or a fraction.

    rational numbers

  • 6

    The smallest natural number that have two natural numbers as a factor.

    Least Common Multiple

  • 7

    The least common multiple of two or more denominators

    Least Common Denominator

  • 8

    The largest number which is a factor of each of the given numbers.

    Greatest Common Factor

  • 9

    The sum of roots X1+X2 is equal to

    -B/A

  • 10

    The product of roots x1•x2 is equal to

    C/A

  • 11

    If B²-4AC=0, the roots are

    equal

  • 12

    B²-4AC>0, the roots are

    real and unequal

  • 13

    B²-4AC<0, the roots are

    imaginary

  • 14

    1 US gal is equal to

    3.785 liters

  • 15

    1 liter is equal to

    1.06 quarts

  • 16

    1 ton is equal to

    2000 lbs

  • 17

    1 lb is equal to

    16 oz

  • 18

    1 mile is equal to

    5280 feet

  • 19

    All circles having the same center but with unequal radii are called

    Concentric circles

  • 20

    The plane rectangular coordinate system is divided into four parts which are known as

    quadrants

  • 21

    An angular unit equivalent to 1/400 of the circumference of a circle is called

    Grad

  • 22

    1 is equal to

    e^(2kπi)

  • 23

    cosh (jπ/4)

    cos (π/4)

  • 24

    tan² (j0.78)

    j tanh (0.78)²

  • 25

    Using power series expansion about 0, find cos x by differentiating from sin x.

    1-(x²/2!)+(x⁴/4!)-(x⁶/6!)+...

  • 26

    Using power series expansion, find sinh x

    x+(x³/3!)+(x⁵/5!)+(x⁷/7!)+...

  • 27

    Using power series expansion, find e^x

    1+x+(x²/2!)+(x³/3!)+...

  • 28

    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

  • 29

    cosh (x), sinh (x), tanh (x) is equal to

    cos (ix), -isin (ix), -itan (ix)

  • 30

    cosh (ix), sinh (ix), tanh (ix) is equal to

    cos (x), isin (x), itan (x)

  • 31

    A line is perpendicular to the y-axis has a slope equal to:

    zero

  • 32

    It represents the distance of a point from the y-axis

    abscissa

  • 33

    The locus of a point which moves so that its distance from a fixed point and a fixed line is always equal is

    parabola

  • 34

    A conic section whose eccentricity is equal to one (1) is known as:

    parabola

  • 35

    The ____ of a parabola is the line which passes through the focus and is perpendicular to the directrix.

    axis

  • 36

    The ____ of a parabola is the line which passes through the focus and is parallel to the directrix.

    latus rectum

  • 37

    What curve is described by the equation y²+4y+x-1=0

    parabola

  • 38

    What is the length of the latus rectum of the parabola y=4px²

    4p

  • 39

    The locus of a point which moves so that the sum of its distances between two fixed points is constant is called

    ellipse

  • 40

    A conic section whose eccentricity is less than one (1) is known as:

    ellipse

  • 41

    What curve is described by the equation 4x²-y²+8x+4y=15

    hyperbola

  • 42

    In conic section, if the eccentricity is greater than one (1), the locus is

    hyperbola

  • 43

    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

  • 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

    In the equation y=-x²+x+1, where is the curve facing?

    downward

  • 46

    A given function f (t) can be represented by a Fourier series if it

    all of the above

  • 47

    In a Fourier series expansion of a periodic function, the coefficient a0 represents its

    DC value

  • 48

    If in the Fourier series of a periodic function, the coefficient a0, is zero, it means that the function has

    any of the above

  • 49

    The axis of the hyperbola through its foci is known as

    transverse axis

  • 50

    Describe the locus represented by |z+2i|+|z-2i|=6

    ellipse

  • 51

    The product of the slopes of any two straight lines is negative 1, one of the lines are said to be

    perpendicular

  • 52

    A normal to a given plane is

    perpendicular to the plane

  • 53

    In the polar coordinate system, the distance from a point to the pole is

    radius vector

  • 54

    A periodic function f (t) is said to possess odd quarter-wave symmetry if

    both (b) and (c).

  • 55

    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

  • 56

    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).

  • 57

    In the case of a periodic function possessing half-wave symmetry, which Fourier coefficient is zero?

    a0

  • 58

    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

  • 59

    Which of the following periodic function possesses even symmetry?

    cos 3t

  • 60

    If the Fourier coefficient bn, of a periodic function is zero, then it must possess ______ symmetry.

    either (a) and (b).

  • 61

    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

  • 62

    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

  • 63

    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)

  • 64

    A periodic waveform possessing half-wave symmetry has no

    even harmonics

  • 65

    The Fourier series of a wave form possessing .even quarter-wave symmetry has only

    odd cosine terms

  • 66

    The Fourier series of a waveform possessing odd quarter-wave symmetry contains only

    odd sine terms

  • 67

    Give example of non-integers

    1/2, 0.10 , 3/5

  • 68

    Classify 1 (one) in number system

    neither prime nor composite

  • 69

    Classify 2 in number system

    prime and even

  • 70

    Classify zero in number system

    whole number and not a natural number

  • 71

    Describe the property of (a+b)+c=c+(a+b)

    Commutative

  • 72

    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

  • 73

    Which of the following refers to an angle having a measure greater than 90° but less than 180°

    obtuse angle

  • 74

    Which of the following refers to a quadrilateral with opposite sides parallel and each pairs of opposite sides and angles is congruent

    parallelogram

  • 75

    1 yard is equal to

    36 inches

  • 76

    1 dime is equal to

    10 centavos

  • 77

    1 cup is equal to

    8 oz

  • 78

    orthogonal trajectories is equal to

    perpendicular slope

  • 79

    the equation of a limacon is

    r = a + b cos theta

  • 80

    find the area enclosed by the lemniscate of bernoulli r² = a² cos 2 theta

  • 81

    The mathematical expression (1+I)^n is referred to

    compound amount factor

  • 82

    what is the factor name for the formula (1+I)^-n

    single payment present worth

  • 83

    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

  • 84

    which of the following corresponds to the meaning of annuity

    a series of uniform amounts over a period of time

  • 85

    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

  • 86

    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

  • 87

    what is the formula for a straight line depreciation rate?

    100 percent-percent net savage value/ estimated service life

  • 88

    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

  • 89

    what is "work in process" classified as?

    an asset

  • 90

    which of the following does not affect owner's equity?

    license to start operation

  • 91

    what is another term for acid test ratio

    quick ratio

  • 92

    the ability to convert assets to cash quickly is known as

    liquidity

  • 93

    In an ellipse a chord which contains a focus and is in a line perpendicular to the major axis is a

    latus rectum

  • 94

    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

  • 95

    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