ME_REV Terms Flashcards
The point where the sense of concavity of a curve
change is called the ______ point.
Inflection
A set of elements that is taken without regard to the
order in which the elements are arranged is called a
Combination
The graph of 3𝑥2 − 𝑦 = 𝑦2 + 6𝑥 is/an ________.
Hyperbola
. If the 3rd derivative of a function in one variable is
equal to zero, then the function is _______.
Quadratic
A number which cannot be expressed as the
quotient of two integers is ______.
Irrational
The angle θ in the polar equation 𝑧 = 𝑟(cos 𝜃 +
𝑖𝑠𝑖𝑛 𝜃) is called the _____.
Modulus
The graph of 𝑥3 + 𝑦3 − 3𝑎𝑥𝑦 = 0 is called the
_______.
Folium of Descartes
At the maximum point, the value of y’’ is ______.
Negative
Which of the following equations has a graph called
the Spiral of Archimedes?
𝑟 = 𝑎𝜃
Every point on a parabola is equivalent from a fixed point and a fixed line. The fixed line is called the _________.
Directrix
Simplify 𝑠𝑖𝑛2𝐴/1+𝑐𝑜𝑠𝐴
𝑇𝑎𝑛 𝐴
Suppose A = {2, 4, 6, 8, 10, 12}, B= {1, 4, 9, 16} and C= {2,10}
𝐴 ∪ 𝐵 = {1, 2, 4, 6, 8, 9, 10, 12, 16}
Suppose A = {2, 4, 6, 8, 10, 12}, B= {1, 4, 9, 16} and C= {2,10}
𝐵 ∩ 𝐶 = ∅
a < b if and only if b – a is ______.
Positive
a > b and only if _______.
b is less than a
a ≤ b and only if either a < b or
a = b
a > 0 if and only if _____
I. a is positive
II. a is negative
III. -a < 0
IV. -a > 0
I & III only
The derivative of ln cos x is:
-tan x
If a < b, then a + c < b + c, and a – c < b – c if c is
Any real number
If a < b & c < d, then
a + b < b + d
If a < b & if c is any negative number, then
ac > bc
If 0 < a < b and 0 < c < d, then ______
ac < bd
If a > b & b > c, then _______
a > c
If a > b, then a + c > b + c, and a – c > b – c if c is
Any real number
If a > b and c > d, then ______
a + c > b + d
If a > b & if c is any positive number, then
ac > bc
If a > b & if c is any negative number, then
ac < bc
A family of curves whose equations are the
solutions of a given differential equation, i.e. the
family of circles: 𝑥2 + 𝑦2 = 𝑐2
, which is the solution
of the differential equation 𝑥 +𝑦(𝑑𝑦/𝑑𝑥)= 0
Integral Curves
An integer greater than one that has no integral
factors except itself and one is called ______
number.
Prime
What is the volume of the sphere?
(4/3)π R3
Find the volume of the cone.
V = (1/3) BH
Identify the locus of the equation 𝑥2 + 4𝑦2 +4𝑥𝑦 + 𝑥 −1/2= 0
Parabola
When a circle rolls externally on the circumference of a second, fixed circle, any point P
on the circumference in the rolling circle describes:
Epicycloid
The axis of the hyperbola that passes through
the foci, vertices and center is called:
Transverse axis
A point on the curve where the first derivative
of the function is zero and the second derivative is
negative is a:
Maximum point
The chord passing through the focus of the
parabola and perpendicular to its axis is termed as:
Latus rectum
It is the sequence of numbers such that the
successive terms differ by a common constant ratio:
Geometric progression
If the first derivative of the equation of the
curve is a constant, then the given curve is?
Straight Line
The median of a triangle is the line connecting a
vertex and the midpoint of the opposite side. For a
given triangle, this median intersects at a point
which is called _______.
Centroid
If the sum of two angles is 90, the two angles is
said to be ________.
Complementary angles
The angular bisector of the sides of a triangle
intersects at the point which is known as _______:
Incenter
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
Equations relating x and y cannot readily be
solved for y as a function of x or for x as a function of
y. Such equation may nonetheless determine y as a
function of x or vice versa. Such function is called
______.
Implicit function
In matrix operation, when the corresponding
elements of two row of a matrix are proportional,
then the value of the determinant is:
Zero
If the second derivative of the equation of a
curve is equal to the negative of the equation of that
same curve, then the curve is _______.
A sinusoid
The locus of points which moves so that the sum
of its distance between two fixed point is constant.
Ellipse
The chord passing through the focus of the
parabola and perpendicular to its axis is termed as:
Latis rectum
The angular bisector of the sides of a triangle
intersect at the point is known as _____.
Incenter
The sum of the sides of a polygon is
Perimeter
It is a polyhedron of which two faces are equal
polygons in parallel planes and the other faces are
parallelograms:
Prism
It is a polyhedron of which two faces are equal
polygons in parallel planes and the other faces are
parallelograms:
Prism
The locus of points generated when a circle is
made to roll externally along the circumference of
another circle.
Epicycloids
The family of curves which intersect a given
family of curves at an angle less than 90 are called:
Isogonal
Which of the following is not a theorem on limits?
The limit of the difference of several functions is
equal to the difference of their limits
What is the figure that will give the largest are
that can be inscribed in a circle?
Rectangle
When a homogenous, flexible cord is held at the
two ends and allowed to sag freely on its own
weight, it will produce a curve very similar to a
parabola opening upwards. What is this curve?
Catenary
A straight line drawn from two circles such that
the tangents drawn from any point of this line to the
two circles are of equal length.
Radical axis
A regular polygon which has 54 diagonals is
called:
Dodecagon
When a circle rolls externally on the
circumference of a second, fixed circle, any point P
on the circumference of the rolling circle describes
_____.
Epicycloids
Find the volume generated by revolving about
the x axis the area bounded by the hyperbola 𝑥𝑦 =𝑎2 and the x- axis.
𝜋𝑎^3
A regular polygon with 27 diagonals is called:
Nonagon
A polynomial is a:
A single term or a finite sum of terms
If a line contains points in quadrants I and II,
then the slope is _______.
Positive
The graph of 𝑦2 = 𝑥2 + 1 is
Hyperbola
What do additive inverse mean?
The opposition of addition
Irrational numbers are
Numbers that cannot be expressed as a ratio of
integers
_______ is a relation in which no two ordered
pairs have the same first coordinate and different
secondary coordinates.
Function
Is the process of finding the function whose
derivative or differential is given.
Antidifferentiation
A regular polyhedron bounded by twelve regular
pentagons
Dodecahedron
𝑒^𝜋𝑖
−1
300 gradian
270 degrees
If f’’ ((𝑥1) = 0, then the point (𝑥1, 𝑦1) is called:
Inflection point
How many faces have an icosahedron?
20
It is a polyhedron of which two faces are equal
polygons in parallel planes and the other faces are
parallelograms.
Prism
The median of a triangle is the line connecting a
vertex and the midpoint of the opposite side. For a
given triangle, these medians intersect at a point
which is called:
Centroid
A relationship between two variables which
contains only essential arbitrary constants.
Primitives
Which is true regarding the signs of the natural
function for angles between 90 to 180.
The cosine is negative
A straight line that approaches a curve at infinity
but will never intersect?
Asymptote
At what angle does a projectile go farthest when
fired?
45 degrees
If the product of the slopes of two straight lines
is negative, the two lines are said to be:
Perpendicular
Another term for Napierian logarithm
Hyperbolic
How many meters is 1 Myriameter (Mm)?
10 000
How many grams is 1 Quintal (q)?
100 000
Areas of irregular figures can be determined by
the following except:
Cycloidal rule
Term used to describe the integral solution
owing to the necessity of adding the arbitrary
constant C.
Indefinite
An integration method frequently employed if it
is advantageous to consider the integral of a
function as the integral of the product of a function
by differential of another function.
Integration by parts
The curve defines by the polar equation 𝑟 = 𝑎𝜃
is known as:
Spiral of archemedes
When a logarithm is expressed as an integral
decimal (between 0 and 1), the integer is called the
Characteristic
Any positive integers such as 1, 2, 3, etc. is also
called:
Natural number
The set of integers does not satisfy the closure
property under the operation of
Division
Two prime numbers which differ by 2 are called
prime twins. Which of the following numbers are
prime twins?
(1, 3)
A relation in which every ordered pair (x, y) has
one and only one value of y corresponds to the value
of x is called
Function
In the expression 𝑛√𝑎
, the letter n represents
the
Order
Which of the following is a nonterminating
decimal is rational?
2.470470
A succession of numbers in which one number is
designated as first, another as second, another as
third and so on is called
Series
Radicals can be added if they have the same
radicand and
Order
The other form of 𝑙𝑜𝑔𝑎𝑁 = 𝑏 is
𝑁 = 𝑎^𝑏
In the quadratic equation 𝐴𝑥
2 + 𝐵𝑥 + 𝐶 = 0,
the product of the root is:
-C/A
If the roots of 𝐴𝑥
2 + 𝐵𝑥 + 𝐶 = 0, are real and
equal, then
𝑏^2 − 4𝑎𝑐 = 0
If equals are added to equals, the sum is equal
Theorem
If every element of a column (or row) of a
square matrix is multiplied by m, the determinant of
the matrix will be:
Multiplied by m
In probability theory, the set of possible
outcomes of an experiment is termed as
A sample space
If the equation is unchanged by substitution of -
x for x, its curve is symmetric with respect to the:
y-axis
What is the quadrilateral formed by joining the
foci of an ellipse to the endpoints of the minor axis
Rhombus
The chord passing through the focus of the
parabola and perpendicular to its axis is termed as:
Latus rectum
The locus of the point which move so that the
sum of its distances between two fixed points is
constant is known as:
Ellipse
The locus of the point which move so that the
distance from a fixed point and fixed line is always
equal, is known as:
Parabola
The locus of the point which moves so it is
always equidistant from a fixed point, is known as:
Circle
A tangent to a conic is a line
Which touches the conic at any one point
In polar coordinate system, the polar angle is
positive when:
Measured clockwise
A conic section whose eccentricity is less than
one is known as:
Ellipse
A conic section whose eccentricity equal to one
is known as:
Parabola
In polar coordinate system, the distance from a
point to the pole is known as:
Radius vector
When the two lines are perpendicular, the slope
of one is:
Equal to the negative of the reciprocal of the other
The axis of the hyperbola, which is parallel to its
directrices, is known as:
Conjugate
The line passing through the focus and
perpendicular to the directrix of a parabola is called:
Axis of parabola
What is the graph of the equation 𝐴𝑥
2 + 𝐵𝑦 +𝐶𝑦2 + 𝐷 + 𝐸 = 0?
Ellipse
It represents the distance of a point form the y-axis
Abscissa
In a conic section, if the eccentricity e > 1, the
locus is
Hyperbola
A line perpendicular to the x-axis has a slope of:
Infinity
In finding the distance between two points
𝑃 (𝑥1, 𝑦1) and 𝑃 (𝑥2, 𝑦2), the most direct procedure
to use:
The Pythagorean theorem
In finding the distance between two points
𝑃 (𝑟1, 𝜃1) and 𝑃 (𝑟2, 𝜃2), the most direct procedure
to use:
Law of cosines
All circles having the same center but with
unequal radii are called
Concentric
A triangle having three sides are equal is called
Equilateral
The angle which the line of sight to the object,
makes with the horizontal; which is above the eye of
the observer is called:
Angle of elevation
The arc angle equal to the radius of the circle is
called:
1 rad
To find the angles of a triangle, given only the
lengths of the sides, one would use:
Cosine law
An angle more than 180 but less than 360 is:
Reflex angle
One fourth of a circle is:
Quadrant
Points that lies in the same plane is called:
Coplanar
The cosine function in the third quadrant
Negative
An angle between 90 and 180 has:
A negative secant and tangent
To find the angles of a triangle, given only the
length of the sides, one would use:
Cosine law
A part of a line included between two points on
the line is called:
Segment
The section of the sphere cut by a plane through
its center is termed as:
Coplanar
A normal to a given plane is
Perpendicular to the plane
A polygon is _____ if no side, when extended,
will pass through the interior of the polygon.
Convex
Which of the following is correct?
All equilateral triangles are similar
A five-pointed star is known as:
Pentagram
The area bounded by two concentric circles is
called:
Annulus
Prisms are classified according to their ______.
Bases
Each of the faces of a regular hexahedron is a:
Square
Polygons with all interior angles less than 180
are called:
Convex polygon
The study of the properties of figures in three
dimensions:
Solid geometry
Points of the derivatives, which do not exist (and
so equals zero) are called:
Stationary point
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 sinusoid
The path of the projectile is
A parabola
