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110 Cards in this Set
- Front
- Back
- 3rd side (hint)
In conic section, if discriminant B^2 - 4AC = 1, the locus is a _________ . |
Hyperbola |
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In conic section, if eccentricity e = 0, the locus is a __________. |
Circle |
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Prisms are named according to their ________ . |
Bases |
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What section is formed by a cone cut by a plane perpendicular to its axis? |
Circle |
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A horizontal line has slope of _________ ? |
Zero |
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A frequency curve which is composed of a series of rectangles constructed with the steps as the base and the frequency as the height. |
Histogram |
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If the product of the slopes of any two straight lines is -1, one of these lines are said to be ___________. |
Perpendicular |
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What section is formed by a cone cut by a plane parallel to its axis? |
Hyperbola |
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The equation x^3 + y^3 - 3axy = 0 represents a curve called? |
Folium of Descartes |
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Which of the following described tetrahedron? |
The number of vertices equals the number of faces. |
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If the equation is unchanged by the substitution of y for its x, its curve is symmetrical with respect to: |
Origin |
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Any number multiplied by _________ is unity or one. |
Its inverse |
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It is the characteristics of a population which is measurable |
Sample |
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At the minimum point, the slope of the tangent line is __________. |
Zero |
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The quartile deviation is a mesure of ___________. |
Dispersion |
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In the first derivative of a function is a constant, then the function is ___________. |
Linear |
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An algebraic expression consisting only of one term is known as: |
Monomial |
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_______________ of a real number is always positive. |
Absolute value |
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The equation r = a is the polar equation of a. |
Circle |
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The path of a projectile is _____________. |
Parabola |
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Which of the following is not true about the expression: square root of 4. |
It is an irrational number |
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In conic section if the eccentricity e > 1. then the locus is a ____________. |
Hyperbola |
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The intersection of the altitudes of triangle is called ____________. |
Orthocenter |
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In any square matix, when the elements of any two rows are exactly the same, the determinant is ___________. |
Zero |
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B in the expression cube of B is called? |
Radicand |
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It represents the distance of a point from the y-axis. |
Abscissa |
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Equation relating x and y that cannot readily be solve explicitly for y as a function of x as a function of y, such equation may nonetheless determine y as a function of x or vice versa, such a function is called ____________. |
Implicit function |
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In a conic section, if eccentricity e = 1, the locus is a ____________. |
Parabola |
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Any number multiplied by _____________ is unity or one |
Its reciprocal |
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In algebra, this consist of products and quotients of ordinary numbers and letters which represents numbers. |
Term |
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What is the eccentricity, e of a conic section with discriminant of B^2 - 4AC = 0? |
e = 1 |
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Which of the following cannot be a probability? |
1/e |
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If a circle of radius B rolls without slipping on the inside of the circle of radius A, any point of the first circle traces a roulette know as __________ . |
Hypocycloid |
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An array of mxn quantities which represents a single number and is composed of elements in rows and columns is known as ___________ . |
Determinant |
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A complex number associated with a phase-shifted sine wave in polar form whose magnitude is in rms and angle is equal to the angle of the phase-shift sine wave is known as ___________ . |
Phasor |
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Find the angle between adjacent faces of a regular octahedron. |
109.47 |
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In a proportional of four quantities, the first and the fourth terms are referred to as ____________ . |
Extremes |
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A sequence of numbers where the succeeding term is greater than the preceeding term is called ___________ . |
Divergent Series |
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_____________ is a sequence of terms whose reciprocal form an arithmetic progression. |
Harmonic progression |
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An integer is said to be prime if: |
It has no other integer as a factor except itself and one. |
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Converge series is a sequence of decreasing numbers or when the succeeding term is ____________ than the preceeding term. |
Lesser |
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A sequence of numbers where every term is obtain by adding all preceeding term such as 1, 5, 14, 30, ...... is called: |
Pyramidal number |
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In complex algebra, we use a diagram to represent a complex plane commonly used: |
Argand's Diagram |
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In raw data, the term which occurs most frequently, is known as: |
Mode |
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The number of favorable outcomes divided by the number of possible outcomes is called: |
Probability |
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A relation in which every ordered pair (x , y) has one and only value of y that corresponds to the values of x, is called: |
Function |
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Any equation which, because of some mathematical process, has acquired an extra root is sometimes called a: |
Redundant equation |
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One raise to infinity is: |
Indeterminate |
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A statement that one mathematical expression is greater than or less than another is called: |
Inequality |
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Equation which will satisfy only for some values of unknown are called: |
A conditional equation. |
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Logarithm of 1 to any base is: |
Zero |
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The point where the second derivative of a function is zero. |
A point of inflection. |
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The integral of any quotient whose numerator is difference of the denominator is the ___________. |
Logarithm |
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Evaluate integral of (tan x)^2 from 0 to pi/2 |
Infinity |
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Find the integral of e^x / (x - 1) with limits from 0 to 1. |
-16.6146 |
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Find the area between the curve y= 2x^4 - x^2, the x axis, and its minimum ordinates. |
7/120 |
Integral of the negative function from -1/2 to 1/2 |
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At point of inflection, the value of y'' is _________ . |
Zero |
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Derivative of ln cos x is ___________ . |
- tan x |
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In the right triangle the bisector of the right triangle divides the hypotenuse in the ratio of 1:2 . In what ratio is the hypotenuse divided by the altitude dropped from the vertex of the right angle? |
4:1 |
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A sphere is cut to the shape of a circular cone. How much of the material can be saved? |
30 % |
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A gutter having a triangular cross-section is to be made by bending strip of tin in the middle. Find the angle between the sides when the carrying capacity is a maximum. |
90 degrees |
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In any square matrix, when the elements of any two rows/columns are interchanged, the determinant is ___________ . |
Negative of former value |
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How many positive factors (including 1 and 1989) does the number 1989 has? |
12 |
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The Y-axis is also called ___________. |
Ordinate |
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In polar coordinate system, the distance from a point to the pole is known as |
Radius Vector |
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What section is formed by a cone cut by a plane parallel to its slant height? |
Parabola |
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The eccentricity of a given curve is between zero and one, the given curve is: |
Ellipse |
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What is the curve described by the equation Im (z^2) = 4? |
Hyperbola |
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The equation | z - 4 | + | z + 3 | = 10 represents which of the following curves? |
Ellipse |
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The equation | z - 4| - | z + 3 | = 10 represents which of the following curves? |
Hyperbola |
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A right circular cylinder is inscribed in a right circular cone of radius, r. Find the radius R of the cylinder if its lateral area is maximum |
R = r/2 |
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The __________ of n measurements is defined as the square root mean of the sum of the square of the deviations from the mean of the measurements. |
Standard Deviation |
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Given the equation y = (e^ln x)^2, find y'. |
2x |
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Evaluate the integral of two log e to base 10, over x times dx from 1 to 10 |
2 |
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The ratio or product of two expressions in direct or inverse relation with each other is called: |
Constant of Variation |
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Equation in which the members are equal for all permissible values of unknown are called: |
An identical equation |
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Two or more equations are equal if and only if they have same: |
Solution set |
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The logarithm of a number to the base 10 is called: |
Briggsian logarithm |
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The logarithm of a number to the base e (2.718281828...) is called: |
Naperian logarithm |
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What is a possible outcome of an experiment called? |
An event |
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If the roots of an equation are zero, then they are qualified as: |
Trivial solution |
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Infinity minus infinity is: |
Indeterminate |
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Infinity plus infinity is: |
Infinity |
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Any number divided by infinity is equal to: |
Zero |
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The graphical representation of the cumulative frequency distribution in a set of statistical data is called __________. |
Ogive |
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A point on the graph of a differentiable function where the concavity changes a point of __________. |
Inflection |
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A point of the curve where the first derivative of a function is zero is called __________. |
Minima |
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A function F(x) is called __________ of f(x) if F'(x) = f(x). |
Derivative |
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If the second derivative of the equation of a curve is equal to the negative of the equation of the same curve, the curve is a/an ___________. |
Sinusoidal |
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When the second derivative of the equation of a curve is negative, the curve at the point is concave in what direction? |
Downward |
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The logarithim of a negative number is: |
Complex number |
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If the derivative of a function is constant, the function is __________. |
First degree |
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____________ is the concept of finding the derivative of an exponential expression. |
Chain rule |
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What theorem is used to solve for centroid? |
Pappus' theorem |
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The scalar of A and B is equal to the product of the magnitude of A and B and the _________ of the angle between them. |
Cosine |
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When the corresponding elements of the rows of a determinant are proportional, then the value of the determinant is ________. |
Zero |
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Find the dimension of the right circular cylinder of greatest volume that can be inscribed in a right circular cone of radius r and altitude h. |
Radius: 2r/3 , altitude: h/3 |
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Find the area enclosed by r = 2asin∅. |
Pi a^2 |
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An equation in which a variable appears under a radical sign is called: |
Irrational equation |
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Two factors are considered essentially the same if: |
One is merely the negative of the other. |
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The number 0.123123123.... is? |
Rational |
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How many triangles are determined by the vertices of a regular octagon? |
56 |
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Find the equation of the line with y-intercept equal to 7 and m = 0 ? |
Y - 7 = 0 |
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The point B divides the line segment AC in the ratio m:n . Find the length of the segment AB if AC = a |
ma/m + n |
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How many line segments can be formed with 6 distinct points, no three of which are co-linear |
15 |
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Two lines that is not coplanar. |
Skew lines |
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If the equation is unchanged by the substitution of – x for x, its curve is symmetric with respect to the: |
Y-axis |
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The integer part of a common logarithm is called the ________. |
Characteristics |
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A statement of the truth of which is admitted without proof is called: |
An axiom |
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The symbol “/” used in division is called: |
Solidus |
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