Chapter 11.1
Sequences
1 1 1
Consider the pattern of numbers: 1, 2, g, 1. What might be the next num
ber in the pattern? I
f
g 1
/ 50
Assuming the pattern continues forever, What would be the 50th num
Chapter 11.8
Power Series
A power series centered at a is a series of the form
V0
A ,
EULA (K 0\) '- Cw CX~0\)
5
f Cg l' Cl CKQ) 4 ClCM 1097),; .
Z
0+ C, (giddy; CLbeA) '(P
where on are
coehwwts bl
Chapter 11.2
Series
What happens if we add the values of a sequence cfw_an?
Then we get an expression called a series (0 r ,' ,1 L n [L C 56/) e 5 )
V0
Zmn:O\l*C\Z+O\34_. or 20A
cfw_\5(
0k is +14; n
Chapter 11.4
The Comparison Tests
1 ?
3n+2
00
How could we determine the convergence or divergence of E
ml? \cfw_7 inteyl ie5l'/ LVIL Ji~cyl~t ,Lv :1
cuter/nine Hg MHJMCVMWC 0F if;
V? 1- . \ , W ,1,
Chapter 11.3
The Integral Test
In general, the sum of a series ,
is (itchy ll H clever/ma / since It ' 3 oHe/i
J/I(@Cc/(+ h \CiAi 0\ (D/"Mulf/k *Cr (16 jeef'xl
n44" cfw_QR/iomt Si/m Sn
However, we ca
Chapter 11.5
Alternating Series
An alternating series is a series
vaose, Jrems (Mr HEP/MR9 cfw_Jolllve 9" WM
00
We can write the nth term of an alternating series 2 an as
n=1
Warm or WE'VE MW e '/M/
I
Chapter 11.6
Absolute Convergence and the Ratio and Root Tests
00
Given any series 2 an we can consider the series
0: n=1
cfw_ET/M .: [Q(+la1(*cfw_6l3(+"
00
A series 2 an is called absolutely converge
INTELLIGENCE AND INTELLIGENCE TESTING
_
INTELLIGENCE
Verbal ability, problem solving skills, and
ability to learn and adapt from everyday
life.
RELIABILITY
Repeatability; consistency in performance.
T
Chapter 11.7
Strategy for Testing Series
How do we choose which test to use on a given series?
If the series is similar to a pseries or geometric series, then
USU, wMP/AWWA 46%
do 2 yo (
0" 14-h he
If-statements pt. 1
1) Given int variables a, b, and c where a is 2, b is 7, and c is 0, what is the output of the following
code segment?
if (a > 1)
System.out.println("BIG");
else
System.out.println
While Loops
What is the output for the following loops. If the code would produce an infinite loop, say so.
1.
int j = 1;
while(j <= 8)
cfw_
System.out.println(j);
j *= 2;
Output:
1
2
4
8
2.
int j =
Name _
Date _
While/do-while loops exercises #3
1. What is the output of the code snippet given below?
int i = 0;
while (i != 9)
cfw_
System.out.println(" + i);
i = i + 2;
a) No output
b) 0 2 4 6 8
c
For-Loop Exercises
1) Given the following for loop, identify its various elements.
for (int i = 0; i < 10; i+)
System.out.println(5 * i);
a. Initialization statement:
int i = 0
b. Conditional statemen
Homework 4 Solutions
Note that the information in black gives more details. To receive full credit, you must
include all or most of the the information in red.
h i
is 2 ln(2). Determine the value of t
Chapter 6.4
Work
If an object moves along a straight line with position function s(t), then
the force F on the object (in the same direction) is
r x m S (%/ m ' 4A :1/0/ QCc /(\/-7C(0 0
In the metric
Chapter 7.2
Trigonometric Integrals
Consider the region bounded by y = sin(:1:), :6 = 0, a: = g, and the :vaxis.
Find the volume of the solid created by rotating the region around the :zzaxis.
/
Chapter 6.5
Average Value of a Function
We know the price of a stock starts at $1, is $5 after 2 months and $3 after
4 months. What would be an estimate for the average price of the stock over
the 4 m
Chem 1035
Test 1
September 28, 2017
I promise that I will abide by the Virginia Tech Honor Code while taking this test.
Signature
_Printed Name _
INSTRUCTIONS READ THESE!
Make sure that your opscan is
/
/
/
Chapter 7.1
Integration by Parts
Consider the region bounded by y = sin(a:), st 2 0, cc 2 g, and the m-axis.
Find the volume of the solid created by rotating the region around the yaxis.
5
Homework 6: Due October 12 at 2:00 pm
Show all your work and clearly mark your answers. Work should be done on separate paper.
If your work is unclear or not shown, no credit will be given.
You must c
iPhone 7
Environmental Report
Apple and the Environment
Apple believes that improving the environmental performance of our business
starts with our products. The careful environmental management of ou
Homework 5: Due October 5 at 2:00 pm
Show all your work and clearly mark your answers. Work should be done on separate paper.
If your work is unclear or not shown, no credit will be given.
You must co
Start
Type the
commands clc and
clear
Type in input
commands for the # of
sides for the polygon
and length of each
side
Use previous input
commands to
calculate the
peirmeter and area
of the polygon
D