57
VISION OF
The Rapture
of the DEAD
DISPENSATION OF WISDOM & RIGHTEOUSNESS
W
HILE THE LORD JESUS may have
come to the earth through
the Bethlehem manger in
a lowly and very subdued form that
suffered much scorn and abuse, HIS
return in the glorious raptu
1.0 The Theodolite and traverse
A theodolite is an instrument that is used to measure angles and bearings
(horizontal and vertical)
1.1 The components of theodolite
i.
ii.
iii.
iv.
v.
vi.
vii.
A sighting device telescope
A horizontal circle a circular p
MATRICES: BASIC CONCEPTS
A matrix, in general sense, represents a
collection of information stored or arranged
in an orderly fashion. The mathematical
concept of a matrix refers to a set of numbers,
variables or functions ordered in rows and
columns. Such
Revision Notes on Application of Derivatives
The concepts of straight line, maxima and minima, global maxima and
minima, Rolles Theorem and LMVT all come under the head of Application
of Derivatives.
If a function is increasing on some interval then the s
MASTIC ASPHALT
INTRODUCTION
Mastic asphalt is an ideal material for a
whole range of construction applications for
both new build and refurbishment
It offers a smooth and durable surface as
required.
It offers total waterproofing integrity for
roofing a

COMMONMATHFORMULAS
AREA(A)
Square
;
where s = any side of the square
Rectangle
;
where l = length and w = width
Parallelogram
;
where b = base and h = height
Triangle
1/2
Circle
SURFACE AREA (SA)of a:
where = 3.14 and r = radius
;
Trapezoid
Sphere
where
Probability
1
Probability
Probability is concerning the
measurement of uncertainty or
likelihood of events
Happening
Types of probability 1:
Experimental/classicalThis is
definition of probability based
on carrying out a large number
of trials
1
Probabil
Rules applying to indices
Indices
1. When numbers of the same
base are multiplied you add the
powers
m
n
E.g. X X =X
(m+n)
2. When numbers of
the same base are
divided you subtract
the powers
1
Rules applying to indices
e.g.
m
n
(mn)
X X =X
3. When numbe
Permutations
Revision Notes on Permutations
The concept of permutation is used for the
arrangement of objects in a specific order i.e.
whenever the order is important, permutation is
used.
The total number of permutations on a set of n
objects is given
Dream
Match
Rensselaer Polytechnic Institute
SUNY University at Stony Brook
Georgia Institute of Technology
Purdue University
University of illionois Urbana Champaig University of Conneticut
University of Virginia
SUNY Polytechnic Institute
Lehigh Univers
Chapter 7
Random Variables and
Probability Distributions
Random Variable grocery store
manager
mightvalue
be
AAnumerical
variable
whose
interested in the number of broken
depends
on the outcome of a chance
eggs in each carton (dozen of
experiment eggs).
What
School
are you
in?
What
grade are PS4 or
you in?
XBOX1
Aero
Senior
Aero
Freshman PS4
Aero
Freshman Xbox1
Aero
Sophomor
e
PS4
Aero
Sophomor
e
Xbox1
Aero
Junior
PS4
Aero
Junior
Xbox1
Aero
Senior
PS4
Aero
Senior
Xbox1
Zoo
Freshman PS4
Zoo
Freshman Xbox1
Drive (miles)
4
6
6
20
25
25
28
29
33
36
36
36
38
39
40
42
42
54
54
55
63
63
71
71
73
76
76
77
78
80
81
83
86
88
94
51.6571
25.8012
0.3257
0.761436214
State
NY
IL
OR
IL
CA
GA
NY
TX
SC
MI
TX
OR
OR
SC
IL
IL
TX
FL
CA
OH
PA
NY
MI
PA
FL
NY
PA
PA
CA
NV
CA
FL
FL
1. The sequence shown below is defined using a recursion formula. Write the first four terms of the
sequence.
A1=13 and an1+8 for n greater than or equal to 2
A2 = A21+8
A2 = A1+8
A2 = 21
A3 = A31+8
A3 = A2+8 (21+8)
A3 = 29
A4 = A41+8
A4 = A3+8 (29 +
MA1310 Module 1 Sequence
Option number 2.
Find the first four terms of the sequence below:
an = n22n
Solution:
Substitute n = 1,2,3,4 into the expression above and solve.
Incorrect answer: A1=1, a2=0
A1=122(1)
A1=12
A1=1
A2=222(2)
A2=44
A2=0
A3=32
Discussion 2

I found this website called hotmath.com where you can enter in a type of math problem and it
gives a list of problems and shows you how to solve it.
For example: log464
Evaluate the logarithm to a variable x= log 464
The exponential form of