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
