Xian Jiaotong-Liverpool University
Subgroup
Name
ID No.
1
Exercise 1.5 Functions and their graphs
1
, find each value. (No. 5)
x3
1
1
(a) f (0.25)
is not defined.
0.25 3
2.75
1
(b) f ( )
3
1. For f ( x )
(c) f ( x 3) ( x 0)
2
1
1
2
x 33 x
2. Which of
Xian Jiaotong-Liverpool University
Exercise 4-7 Indeterminate Forms of Type 0/0
Find the following indicated limit. Problems 1-8.
1. lim
x 0
x 3 3x 2 x
x3 2 x
Solution: lim
x 0
2. lim
x 1
x 3 3x 2 x
3x 2 6 x 1
1
=
lim
=
3
2
x 0
x 2x
3x 2
2
ln x 2
x2 1
Sol
C!
2 ) exists, nd the constant a and evaluate the limit.
(2*l)+0\(1<t) -.Q,-w~ 0m HA
1. Suppose the limit lim(;+
HI xi x
A1
. I 0K. .83,
. ~- + ,_- : s I
5M? gawk Xzl ) x91 (if-l) Ox a) xw (,xz) @Xts
K-L m Kl ,
:7 w><+i+90=0 a oxvl, Jam :4:q
Xian Jiaotong-Liverpool University
Exercise 3-1 Two Problems with One Theme
1. Find the slopes of the tangent lines to the curve
y x 2 1 at the point where x 2, 0, 1. (No.9 in the PS)
Solution: f ( x ) x 2 1
c h 2 1 c 2 1
f (c h ) f ( c )
mtan lim
lim
Exercises 1
1. Given two points A(1,0,0) and B(0,2,1). Find a point C on
the Z~axissuch that the area of AABC is minimal.
Sol. Lz't C(ILQE) be 0 Fol/E 0n JrJ'le Zraxrs. We )mgl/e cfw_ll/o
mum A? =(rl, 0/ Z) and if: =<o,-z, 30.
gym WWW WWWjWM,[cfw_AExcnzsl
Xian Jiaotong-Liverpool University
Exercise 7-1 Basic Integration Rules
1. In the following problems, perform the indicated
integrations. (No. 3,4,11,15,21,24,27,31,47,56)
(1)
2
0
x ( x 2 1)5 dx
u x 2 1, du 2 xdx
When x 0, u 1 and when x 2, u 5.
2
1 2 2
2
Xian Jiaotong-Liverpool University
Exercise 4-1 Maxima and Minima
In Problems 2-6, Identify the critical points and find the
maximum and minimum values on the given interval:
(No.11,16,21,26)
1.
h ( x ) e x ; I 1, 3 .
2
Solution:
2
h '( x) 2 xe x ; h '( x
Running Head: CLOUD COMPUTING
1
CLOUD COMPUTING
Name
School
Cloud Computing
2
Support
Support mean technicians to perform maintenance and address problems. Bandwidth:
appropriate information measure for peak load Facilities: physical infrastructure, as we
Cloud Computing
Support
Support mean technicians to perform maintenance and address problems. Bandwidth: appropriate
information measure for peak load Facilities: physical infrastructure, as well as instrumentation and
power By providing a highly-managed
Running Head: Reality Investment
1
REALITY INVESTMENT
Name
School
Reality Investment
2
Introduction
A financial specialist obtains a cash advance of $10,000,000 at 7% premium rate from a
bank and needs to invest in United States of America territory. A fi
Using the following statistics to describe a distribution of data, what is the interquartile range?
Minimum = 15
Q1 = 28
Median = 52
Q3 = 73
Maximum = 94 45. 13. 88. 28.
ONLY HAVE TWENTY MINUTES UNTIL I WILL NEED TO TURN THIS IN PLEASE HELP
ME
12.
AGES
FR
Running Head: DEVELOP A WORKPLACE LEARNING ENVIRONMENT
Develop a Workplace Learning Environment
Name
School
1
DEVELOP A WORKPLACE LEARNING ENVIRONMENT
1.
2
Learning refers to the process of grasping and understanding of new concepts and ideas
that a perso
1 Available Forensic tools
EnCase: this is a fully featured commercial software which will allow the person investigating to imge and
get data from the disk and removable media. Its pro version is very expensive.
SafeBack: This majorly used by law enforce
Resource Sheet Repot
Resource Name
John
Evaluation and Recommendations
Develop Project Charter
Mike
Evaluation and Recommendations
Develop Project Charter
Nancy
Develop Project Charter
Create Preliminary Scope Statement
Procure Hardware/Software
Dave
Deve
Running Head: UNIT 4 LAB ASSIGNMENT
1
UNIT 4 LAB ASSIGNMENT
Name
School
Unit 4 Lab Assignment
2
Abstract
Digital certificate was created to show that a software being used is from an authenticated
owner. Windows have several of these certificates but majo
Running Head: DEVELOP A WORKPLACE LEARNING ENVIRONMENT
Develop a Workplace Learning Environment
Name
School
1
DEVELOP A WORKPLACE LEARNING ENVIRONMENT
1.
2
Learning refers to the process of grasping and understanding of new concepts and ideas
that a perso
Running Head: Reality Investment
1
REALITY INVESTMENT
Name
School
Reality Investment
2
Introduction
A financial specialist obtains a cash advance of $10,000,000 at 7% premium rate from a
bank and needs to invest in United States of America territory. A fi
Crowdsourcing
When a problem is shared it is considered a problem solved. What if a company shares a
problem with over one million people? It is suggested that the result is a lot of rubbish and a
garbage of suggestions. When the British government called
Computer Purchase Paper
Toshiba
The brand has been reliable over the years and has created a brand that has loyalty over
the years. Not only has Toshiba engulfed other brands but has had very consistent products in the
market. The company produces superio
Running Head: Crowdsourcing
1
Crowdsourcing
Name
Institution
Crowdsourcing
2
Introduction
When a problem is shared it is considered a problem solved. What if a company shares a
problem with over one million people? It is suggested that the result is a lot
Running Head: Crowdsourcing
1
Crowdsourcing
Name
Institution
Crowdsourcing
2
Introduction
When a problem is shared it is considered a problem solved. What if a company shares a
problem with over one million people? It is suggested that the result is a lot
Unit 2 Case Project
CIS 207
Moe and Jennifer have been sent to another client site to configure RIP on a clients router, and they are stuck
again and have called you. They were told to use the network address of 204.207.5.0. There are three interfaces on
Lecture 8: DFT and FFT Algorithms
Lecturer: Dr ALI AL-ATABY
aliataby@liv.ac.uk
Contents
DFT & FFT
DFT
DFT-Zero Padding
Matrix Form of DFT
Modulo-N Reduction
FFT
Decimation-in-time radix-2 FFT algorithm
Summary
2
DFT and FFT
The discrete Fourier t
Lecture 12: IIR Filter AnalysisAnalogue Filter Analysis and Design
Lecturer: Dr ALI AL-ATABY
aliataby@liv.ac.uk
Contents
IIR definition
IIR Filter as a class of LTI
IIR Filter Design Techniques
Analogue filter analysis and Design
Butterworth filter
Cheb
Lecture 9: FIR Filter Analysis
Lecturer: Dr ALI AL-ATABY
aliataby@liv.ac.uk
Contents
FIR Filters as a Class of LTI
The 4 Types of Linear-phase FIR filters.
Transfer functions of linear-phase filters.
Zero locations of linear-phase FIR filters.
Summar
Lecture 10: Window-based Digital FIR Filter Design
Lecturer: Dr ALI AL-ATABY
aliataby@liv.ac.uk
Contents
FIR filter design techniques
Least Integral-Squared Error Design of
FIR Filters
Windowed impulse response
FIR Window-based design
Summary
2
FIR f
Lecture 15: Comb and Reverberation Filters,
The Hilbert Transformer
Lecturer: Dr ALI AL-ATABY
aliataby@liv.ac.uk
Contents
A Comb Filter
A Reverberation Filter
The Hilbert Transform
Summary
2
A Comb Filter
It is straightforward to show that the transfer
fu