Bronson Mock
Polar Coordinates and Complex Numbers
Module 4 Exercise
The rectangular coordinates of a point are given. Find the polar coordinates of the point.
Express in radians. (5, 5)
ANSWER: (7,135 ) [r, ]
2.Plot the complex number. z = 4 + 5i
Y-Value
1. V =13 i+17 j
2. u = 8i 6j, v = 5i + 8j. Find the vector u + v.
( 8 i+ (5 ) + (6+ 8 )
Bronson Mock
MA1310 Module 5 Lab
Vectors and the Dot Product
V + w 3 i+3 j
3. Find the unit vector that has the same direction as vector v = 12j.
12
=1 is the unit vec
Bronson Mock
Communications Paper
Eng 2320
4/9/2017
Communication is a very important process where I work, and if there is not proper
communication (which happens almost daily) there can be delays in production and unhappy
workers in management or just o
Bronson Mock
PT1420 Final Paper
G
GLOBAL WARMING AND THE
NEGATIVE EFFECTS ON THIS
WORLD
Research Paper
Abstract
The effects of global warming could extremely risk the health of your loved ones and also take
away your potential salary.
Bronson Mock
In thes
TITLE
Bronson Mock
Presenting the Ideas of my Course
Essay 6.2
Self Reflection
4/9/2017
1
TABLE OF CONTENTS
Introductory Essay
3
Choices Essay
4-6
Final Career Essay
7-9
2
INTRODUCTORY ESSAY
This is my second quarter at ITT Tech and this quarter I am taki
FLINT WATER CRISIS
Module 5 Incorporating Research into Writing
Creating a Research Plan
Bronson Mock EN1320
Research Question
Why is the water Crisis in Flint, Michigan still not solved?
Working Thesis
The water crisis in Flint, Michigan has become an ep
Bronson Mock
EN1320 Lab 4.1
4/9/2017
Introduction
I am a fairly new student at ITT Tech in Maumee, OH with a major of NSA
(Network Systems Administration). The IT field appeals to me because it seems that the
world is shifty more to that side of the IT fi
Bronson Mock
MA1210 Lab 5.1
4/9/2017
1.
2.
3.
4.
5.
A=x y
b).
f ( x )=x 2 + y
c).
y=150x
d).
A=x 2 ( 150x 2 )
e).
f ( x )=x 2 ( 150x 2 )
f).
b 150
=
=75
2a
2
g).
75 yards
h).
37.5 yards
2
24
2
a).
2 x 9 x 18
b).
2 x +3
206 is the remainder
a)
b)
c)
6.
2
a
Bronson Mock
MA 1210 4.1 Exercise and Discussion
4/9/2017
1. A function of a network ISP is connecting another network, this is a function
because without the correct addresses the networks will not be able to work
together.
2. A graph of Internet bandwid
Bronson Mock
MA1210 Exercise 3.1
4/9/2017
1. (30 points) The following quadratic equation describes the average RAM installed, , in
Gigabytes, on PCs t years after 2000.
y=0.022 x 2+ 0.25
a. Find the average RAM installed on PCs in the year 2007.
2
y=.022
PLANE GEOMETRY
LINES AND ANGLES
Linear axiom 1: If sum of two adjacent angles is equal to 180, then the non-common arms of angles form a
straight line.
If AOB + BOC = 180, then AC is a straight line passing through O.
A
B
O
C
Linear axiom 2: If a ray is
CO-ORDINATE GEOMETRY
INTRODUCTION
To locate a point (say, an object) on a plane surface (say, floor), we need to take two reference straight lines
in the plane which are perpendicular to each other (i.e., two mutually perpendicular edges of the floor).
C
MATRICES AND DETERMINANTS
Definition
A rectangular array of symbols (which could be real or complex numbers) along rows and columns is called a
matrix.
Thus a system of m n symbols arranged in a rectangular formation along m rows and n columns and
bounded
QUADRATIC EXPRESSIONS
Quadratic Equations
Quadratic Polynomials: A polynomial of degree 2 is called a quadratic polynomial. Given form of quadratic
2
polynomial is ax + bx + c where a, b, c are real numbers such that a 0 and x is a variable.
Zeros of a Qu
LIMITS
Let y = f(x) be a given function defined in the neighbourhood of x = a, but not necessarily at the point x = a.
The limiting behaviour of the function in the neighbourhood of x = a when |x a| is small, is called the limit of
the function when x app
TRIGONOMETRY
Angle Measurement system
In the Sexagesimal system of measurement of a right angle is divided in to 90 equal parts called degrees.
Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called
seconds.
MENSURATION
Introduction
Mensuration is a branch of mathematics which concerns with the measurement of lengths, area and volume
of the plane and solid figures.
Area
The area of a plane region bounded by a simple closed curve is the magnitude or the measur
BINOMIAL THEOREM
A Binomial Expression
Any algebraic expression consisting of only two terms is known as a binomial expression. It's expansion in
power of x is known as the binomial expansion.
2
For example: (i) a + x
(ii) a + 1
(iii) 4x 6y
x2
Binomial Th
PROGRESSIONS AND SERIES
A sequence is also called a progression. We now study three important types of sequences:
(1) The Arithmetic Progression,
(2) The Geometric Progression,
(3) The Harmonic Progression.
Arithmetic Progression. Def. (A.P)
A sequence is
PRACTICE PROBLEMS (RK Methods & Systems)
Numerical Solutions of ODEs & PDEs
1. Use Runge-Kutta method of order 2 to solve y xy for x = 1.4. Take initial value as
y(1) = 2 and step-length h = 0.2.
2. Use implicit Runge-Kutta method with 2 slopes to calcula
Submission Date: 15.02.2014
ASSIGNMENT - 3
Numerical Solutions of Ordinary and Partial Differential Equations
1. Determine the interval by absolute stability of the following implicit method when
applied to the test equation y = y, < 0;
h
h
h
un+1 = un +
PRACTICE PROBLEMS (Euler & Taylors Series)
Numerical Solutions of ODE and PDE
1. Compute the first few terms using Picards iteration with y0(x) 0 for the initial value
problem y ' xy 2 x x3 with y(0) 0, and show that they converge to the solution
y( x) x
Submission Date: 14.04.2014
ASSIGNMENT 5
Numerical Solutions of Ordinary and Partial Differential Equations
0 and then reduce it to its
1. Find the characteristic curves for the p.d.e. 3 z xx + 4 z xy + 4 z yy =
canonical form.
2. Reduce the equation
2
2
23
MODELING MEDICAL
TREATMENT USING MARKOV
DECISION PROCESSES
Andrew J. Schaefer1,2,3, Matthew D. Bailey1,
Steven M. Shechter1 and Mark S. Roberts2,3
1
Department of Industrial Engineering
University of Pittsburgh
Pittsburgh, PA 15261
2
Department of Medi
ADITYA BIRLA NUVO LIMITED
FACTSHEET
March 2016
About Aditya Birla Nuvo Limited
Aditya Birla Nuvo Limited (ABNL) is a premium conglomerate commanding leadership position across services and manufacturing businesses viz.,
Financial Services, Telecom, Linen,