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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

In conic section, if eccentricity e = 0, the locus is a __________.

Circle

Prisms are named according to their ________ .

Bases

What section is formed by a cone cut by a plane perpendicular to its axis?

Circle

A horizontal line has slope of _________ ?

Zero

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

If the product of the slopes of any two straight lines is -1, one of these lines are said to be ___________.

Perpendicular

What section is formed by a cone cut by a plane parallel to its axis?

Hyperbola

The equation x^3 + y^3 - 3axy = 0 represents a curve called?

Folium of Descartes

Which of the following described tetrahedron?

The number of vertices equals the number of faces.

If the equation is unchanged by the substitution of y for its x, its curve is symmetrical with respect to:

Origin

Any number multiplied by _________ is unity or one.

Its inverse

It is the characteristics of a population which is measurable

Sample

At the minimum point, the slope of the tangent line is __________.

Zero

The quartile deviation is a mesure of ___________.

Dispersion

In the first derivative of a function is a constant, then the function is ___________.

Linear

An algebraic expression consisting only of one term is known as:

Monomial

_______________ of a real number is always positive.

Absolute value

The equation r = a is the polar equation of a.

Circle

The path of a projectile is _____________.

Parabola

Which of the following is not true about the expression: square root of 4.

It is an irrational number

In conic section if the eccentricity e > 1. then the locus is a ____________.

Hyperbola

The intersection of the altitudes of triangle is called ____________.

Orthocenter

In any square matix, when the elements of any two rows are exactly the same, the determinant is ___________.

Zero

B in the expression cube of B is called?

Radicand

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

Abscissa

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

In a conic section, if eccentricity e = 1, the locus is a ____________.

Parabola

Any number multiplied by _____________ is unity or one

Its reciprocal

In algebra, this consist of products and quotients of ordinary numbers and letters which represents numbers.

Term

What is the eccentricity, e of a conic section with discriminant of B^2 - 4AC = 0?

e = 1

Which of the following cannot be a probability?

1/e

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

An array of mxn quantities which represents a single number and is composed of elements in rows and columns is known as ___________ .

Determinant

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

Find the angle between adjacent faces of a regular octahedron.

109.47

In a proportional of four quantities, the first and the fourth terms are referred to as ____________ .

Extremes

A sequence of numbers where the succeeding term is greater than the preceeding term is called ___________ .

Divergent Series

_____________ is a sequence of terms whose reciprocal form an arithmetic progression.

Harmonic progression

An integer is said to be prime if:

It has no other integer as a factor except itself and one.

Converge series is a sequence of decreasing numbers or when the succeeding term is ____________ than the preceeding term.

Lesser

A sequence of numbers where every term is obtain by adding all preceeding term such as 1, 5, 14, 30, ...... is called:

Pyramidal number

In complex algebra, we use a diagram to represent a complex plane commonly used:

Argand's Diagram

In raw data, the term which occurs most frequently, is known as:

Mode

The number of favorable outcomes divided by the number of possible outcomes is called:

Probability

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

Any equation which, because of some mathematical process, has acquired an extra root is sometimes called a:

Redundant equation

One raise to infinity is:

Indeterminate

A statement that one mathematical expression is greater than or less than another is called:

Inequality

Equation which will satisfy only for some values of unknown are called:

A conditional equation.

Logarithm of 1 to any base is:

Zero

The point where the second derivative of a function is zero.

A point of inflection.

The integral of any quotient whose numerator is difference of the denominator is the ___________.

Logarithm

Evaluate integral of (tan x)^2 from 0 to pi/2

Infinity

Find the integral of e^x / (x - 1) with limits from 0 to 1.

-16.6146

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

At point of inflection, the value of y'' is _________ .

Zero

Derivative of ln cos x is ___________ .

- tan x

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

A sphere is cut to the shape of a circular cone. How much of the material can be saved?

30 %

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

In any square matrix, when the elements of any two rows/columns are interchanged, the determinant is ___________ .

Negative of former value

How many positive factors (including 1 and 1989) does the number 1989 has?

12

The Y-axis is also called ___________.

Ordinate

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

Radius Vector

What section is formed by a cone cut by a plane parallel to its slant height?

Parabola

The eccentricity of a given curve is between zero and one, the given curve is:

Ellipse

What is the curve described by the equation Im (z^2) = 4?

Hyperbola

The equation | z - 4 | + | z + 3 | = 10 represents which of the following curves?

Ellipse

The equation | z - 4| - | z + 3 | = 10 represents which of the following curves?

Hyperbola

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

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

Given the equation y = (e^ln x)^2, find y'.

2x

Evaluate the integral of two log e to base 10, over x times dx from 1 to 10

2

The ratio or product of two expressions in direct or inverse relation with each other is called:

Constant of Variation

Equation in which the members are equal for all permissible values of unknown are called:

An identical equation

Two or more equations are equal if and only if they have same:

Solution set

The logarithm of a number to the base 10 is called:

Briggsian logarithm

The logarithm of a number to the base e (2.718281828...) is called:

Naperian logarithm

What is a possible outcome of an experiment called?

An event

If the roots of an equation are zero, then they are qualified as:

Trivial solution

Infinity minus infinity is:

Indeterminate

Infinity plus infinity is:

Infinity

Any number divided by infinity is equal to:

Zero

The graphical representation of the cumulative frequency distribution in a set of statistical data is called __________.

Ogive

A point on the graph of a differentiable function where the concavity changes a point of __________.

Inflection

A point of the curve where the first derivative of a function is zero is called __________.

Minima

A function F(x) is called __________ of f(x) if F'(x) = f(x).

Derivative

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

When the second derivative of the equation of a curve is negative, the curve at the point is concave in what direction?

Downward

The logarithim of a negative number is:

Complex number

If the derivative of a function is constant, the function is __________.

First degree

____________ is the concept of finding the derivative of an exponential expression.

Chain rule

What theorem is used to solve for centroid?

Pappus' theorem

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

When the corresponding elements of the rows of a determinant are proportional, then the value of the determinant is ________.

Zero

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

Find the area enclosed by r = 2asin∅.

Pi a^2

An equation in which a variable appears under a radical sign is called:

Irrational equation

Two factors are considered essentially the same if:

One is merely the negative of the other.

The number 0.123123123.... is?

Rational

How many triangles are determined by the vertices of a regular octagon?

56

Find the equation of the line with y-intercept equal to 7 and m = 0 ?

Y - 7 = 0

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

How many line segments can be formed with 6 distinct points, no three of which are co-linear

15

Two lines that is not coplanar.

Skew lines

If the equation is unchanged by the substitution of – x for x, its curve is symmetric with respect to the:

Y-axis

The integer part of a common logarithm is called the ________.

Characteristics

A statement of the truth of which is admitted without proof is called:

An axiom

The symbol “/” used in division is called:

Solidus