Math 103
Chapter 1
Data Collection
Qualitative vs. Quantitative
Variables
Qualitative Variable: A variable that can be
placed into a distinct category according to
some characteristic or attribute.
Examples: Gender, Political Affiliation, Favorite
Ice Cr
TOPIC 4 (CHAPTERS 24 & 17 ) - NATIONAL INCOME AND TAXATION
LEARNING OBJECTIVES
1.
2.
*3.
4.
5.
*6.
*7.
8.
9.
10.
11.
12.
13.
Define Gross Domestic Product and identify what is and what is not included in its calculation.
Differentiate clearly between GNP
TOPIC 2 (Chapter 3) - SUPPLY, DEMAND, AND EQUILIBRIUM PRICE
LEARNING OBJECTIVES
Explain what a market is.
Define "demand" and "supply" and illustrate both relationships graphically.
Explain how diminishing marginal utility, the income effect, and the subs
Homework #4
Due: Monday, October 17
All these problems are to be done by hand.
Following your submission of this homework assignment on Monday October 17, an answer key for this
assignment will be placed on-line. Please use this answer key in studying for
MATH 3420 Handout 99
Chapter 4 Practice Problems
1.
Determine if
y xe x
is a solution to
2
d y
dx 2
2.
dy
dx
1
y 0
x
Find all open intervals in which the IVP given by
(2 x)
Given that
d3y
dx3
x
d2y
dx2
,
20
dy
dx
2 y x
, is guaranteed to have a unique
#include <iostream>
#include<ctime>
using namespace std;
int main()
cfw_
int number;
int randomnum;
bool tryAgain= true;
cout <" Guess the number that I am thinking "<endl;
cout <"and if you got the number you will win."<endl;
while (tryAgain)
cfw_
srand(
1. A student writes the following code to print out some terms of a recursive formula . His code is
x:=y means x is assigned the value of y)
( here
a:=1
b:=2
For n = 1 to 5
c:= b/a
Print c
a:= b
b:= c
Next n
If you were to execute this code what would be
1. a) Use the formula
n( n 1)
1 2 3 n
2
4+8+12+4(n-1) where
where
to simplify the expression
n 1
n 2
so your answer does not involve the notation + .
b) Use the formula
r n 1 1
1 r r r r
r1
2
expression
3
where
n
R
R
R
R
2
3
1 i (1 i )
(1 i )
(1 i ) n
CHAPTER 1
THE LOGIC OF COMPOUND
STATEMENTS
The rst great treatises on logic were written by the Greek philosopher Aristotle. They
were a collection of rules for deductive reasoning that were intended to serve as a basis
for the study of every branch o
/ Math-4000 EXCEL Homework F14
Value : Worth 50 pts toward the nal exam. ( 5 of these pts are for proper math notation, i.e. for learning how
to use Microsoft Equations which is a available in Word and in Excel)
Due Date: Due at the time of the nal exam.
Part III
There are two commonly used denitions for an integral;
1) Using the area of rectangles
3: f (x) dx= limz f (x )Ax Where the interval 'om X: a to x=b lS split into 11 equal
nW? i=1
pieces and Ax= width of each piece=b; and xi is chosen
to be a val
Math 4000
answers to Complex arithmetic HW.
For converting from polar r to rectangular form x+yi on my TI-83, I used the function Re ct ,
found under MATH, CPX instead of using the more cumbersome
x r cos( )
y r sin( )
and I rounded to two decimal
places.
Math-4000 FOR LOOP Home Work F 10
(shown in pseudocode and as implemented on a TI-83)
PseudoCode
TI-83
4.1.1
For i := 1 to 4
x := i/(10+i)
Print x
Next i
For(I,1,4)
I/(10+I) X
Disp X Frac
End
4.1.3
For i := 0 to 3
x := (-1/3)i
Print x
Next i
For(I,0,3)
(-
Math-4000 Two methods of solving (approximately) differential
equations of the form y = F(x,y) given that y = f(x) ,the
exact solution, goes through the initial point (x0,y0)
Eulers Method ;
The approximate solution is given by the recursion formula
y n 1
Sample integral using rectangles and height at r. hand end point;
Using 50 rectangles
delta x=
0.08
n
r.hand x f(x)
are of rect sum
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
Point Values: (part of the listed pts is 5 pts for using correct
math symbols)
I.
1. a),b), and c) 6 pts (2 each)
2. 4 pts
II. 1. a),b), and c) 9 pts (3 each)
d) 1 pt
III. 10 pts (5 each)
IV. 1. a) 2 pts
b) 3 pts
2. 5 pts
V. 10 pts ( 5 each)
Math-4000 EXC
Math-4000 EXCEL Homework F10
Value : Worth 50 pts toward the final exam. ( 5 of these pts are for proper math notation, i.e. for learning how
to use Microsoft Equations which is a available in Word and in Excel)
Due Date: Due at the time of the final exam
Nov 22 Class:
Partial explanation of in class examples done on Excel and saved as Nov 22 class examples.
Sheet 1.
Finding
f ( x h) f ( x )
f ' ( x) lim
h 0
h
to 4 decimal places of
comparing that definition to that used by TI-84
f ' ( x) lim
h 0
Column B
Name_ MATH 2040
Comprehensive Final Exam
Spring, 2016
Throughout the test show all of the steps you used to get to your answer. NO WORK NO CREDIT!
1) The financial department of a company that produces digital cameras arrived at the following price-demand
G180 Module 03 Assignment
1. Out of 420 students who took a statistic test, 310 passed. What percentage of the students
passed the test?
(310/420)*100 = 73.81% of the students passed
2. Rita's tuition bill for last semester was $4360. If she paid $6052 in
G180 Module 04 Assignment
A group of students were asked to vote on their favorite horror films. The candidate films are: Abraham
Lincoln Vampire Hunter, The Babadook, Cabin Fever, and Dead Snow (A, B, C, D for short). The following
table gives the prefer
G180 Module 05 Assignment
1. A group of students were asked to vote on their favorite horror films. The candidate films are:
Abraham Lincoln Vampire Hunter, The Babadook, Cabin Fever, and Dead Snow (A, B, C, D for short). The
following table gives the pre
G180 Module 02 Assignment
1. The Cool Gents is a R&B group planning their next concert tour. The band has a total of 25 new songs
in their repertoire.
a. How many different set lists of 12 songs can the group select to play on tour? Use permutations
or co
G180 Module 07 Assignment
1.
a. Give the vertex set V.
V = [1, 2, 3, 4, 5]
b. Give the Edge set E.
E = [12, 15, 23, 24, 25, 34, 45]
2. Consider the graph with V = [A, B, C, X, Y, Z] and E = [AX, AY, AZ, BB, CX, CY, CZ, YY]. Without drawing a
picture of th
G180 Module 06 Assignment
1. Adam, Bob and Chad are dividing an estate consisting of a house, a small farm and a painting using the
method of sealed bids. Their bids on each of the items are given in the following table:
Adam
Bob
Chad
House
$145,000
$125,