Statistics 252 Homework #2 Solutions Summer 2011
3. (6 marks) An observational study randomly sampled various cities in eight areas of Canada
to compare the populations within each area. Carry out a test to determine if there is any
significant difference

Department of Mechanical Engineering
Analysis Methodology
ES 140 Section 5 Fall 2006
Department of Mechanical Engineering
Details of Analysis
Scientific notation Significant figures Precision Results validation Computer usage
Department of

http:/www.allaboutvision.com/visionsurgery/lasik.htm
Content-wise, you have several options. Some suggestions include to lay it out similar
to this course was laid out. Start with the question "why laser vision correction", discuss
how the eye works when

Sophie Baillargeon
ES1401 BME Module- Lewis
Homework #3
Area under the curve is a triangle
A= *b*h
A= *(4.00-1.00) * (2.00)
A= 3.00 degrees C *s
() = 3.00 degrees C *s (1 min/60s) = .05 degrees C*min
= 5 mL = 0.005 L
K= 1.086
= 37.00 degrees C
= 0.00 d

ECS 120: Theory of Computation
UC Davis Phillip Rogaway
PS #9
November 29, 2012
Problem Set 9 Due Thursday, December 6
Problem 1. State whether the following claims are true or false, briey explaining your answer.
a. A P A.
b. If A P B and B P C, then A P

Problem 2: One more eld integral
Lets try rst in the safe way, using cartesian coordinates:
B(r) =
=
=
=
B(r) =
0
r rq
Idlq
4
|r rq |3
0 I
(x x + y y + z z zq z )
dzq z 2
4
(x + y 2 + (z zq )2 )3/2
(x y y x)
0 I
dzq 2
4
(x + y 2 + (z zq )2 )3/2
0 I 2(x

Statistics 252 Homework #2 Solutions Summer 2011
c) (5 marks) Repeat parts (a) and (b) by creating a linear combination comparing Canadian
and U.S. teams. Thus, based on your CI, do Canadian teams have a higher overall
winning percentage? Why or why not?

12. Mid-band gain (Amid), lower cutoff frequency (L), and higher cutoff frequency
(H) for the amplifier transfer function given below are
Av ( s )
4108 s 2
( s 1)( s 2)( s 1000)( s 2000)
(1) Amid=4x108, L=2 rad/s, H=1000 rad/s
(2) Amid=200, L=1 rad/s, H=

Problem 4: The Famous Mystery Field
For the positively and negatively charged particle, we have r+q = d z and rq = d z
2
2
respectively. To calculate the total electric eld, we need to add up the contribution
from both sources.
q rdz
q r+dz
2
2
E(r) =

Problem 4: Solenoidal Field
Using Newtons second law F = ma, we have:
F =qv B = q(s s + s + z z ) B0 z = qB0 (s + s s)
ma =m ( s2 ) s + (2s + s) + z z )
s
Comparing every component in F and in ma we get three equations of motion (one
for each compon

Problem 2: Unit Vector Transformations
3
(v ri ) ri , we can write
(a) Using the equation provided in the question v =
i=1
r = ( r x) x + ( r y ) y + ( r z ) z
= ( x) x + ( y ) y + ( z ) z
= ( x) x + ( y ) y + ( z ) z
From the 3D gur

Arduino PRE-LAB
Before coming to lab:
1. Read the sections of the Sparkfun Inventors Kit (SIK) Guide posted on Blackboard
under Assignments/Arduino Lab and Pre-Lab.
2. Review the Sparkfun tutorials posted on Blackboard for introductory circuit concepts an

VANDERBILT UNIVERSITY
ES1401/2/3IntroductiontoEngineering:BME
Fall 2016
Project: LASIK brochure / flyer
Due: Friday, September 23, before 5:00 pm (CDT)
Recall (from the course syllabus) that "Each student will do a semester project" This
project will cons

Page 1 of 12
The Sound Controlled Robot
ES140 EE Module 3
Wednesday, December 6
Table of Contents
1. Process
of
Assembly:
Electronic.3
2. Process
of
Assembly:
Mechanical.6
3. Robot
Testing
4. Troubleshooting
5. The
Robot
and
Adjustments.7
Electronic
Probl

Challenge #1
Problem: One of the most common chemical reactors found around us is the car engine.
It takes gasoline and reacts it with air to release chemical energy, which in turn is
transformed into mechanical energy. Using the concepts of material bala

Our groups robot testing was a painstaking and long process with a lot of problems. At
first, our robot did not even work, with the motor control only starting in response to
sound instead of stopping. Besides this major problem, the wheels would run fast

Sophie Baillargeon
VANDERBILT UNIVERSITY
ES1401/2/3IntroductiontoEngineering:BME
Fall 2016
Assignment 3
Based on the data, the ratio of sines will always be the same and the ratio of the wavelengths will
also always be the same. These two values will be t

Sophie Baillargeon
VANDERBILT UNIVERSITY
ES1401IntroductiontoEngineering:BME
Fall 2016
Assignment 4
Part 2:
Does a positive lens cause divergence or convergence of the beam?
A positive lens causes convergence of the beam
based on what you see in the simul

VANDERBILT UNIVERSITY
ES1401/2/3IntroductiontoEngineering:BME
Fall 2016
Assignment 2
Due: start of class Wednesday (August 31)
1) Who invented (laser) vision correction? Find the first published paper on
this technique. What was this procedure called?
Ste

Homework #4
BME Module Lewis
Name: _Sophie Baillargeon _
1. Run the simulator found at http:/phet.colorado.edu/en/simulation/beers-law-lab . First,
experiment with different wavelengths of light, path lengths, and absorbing solutions. Now,
choose the red

ES1401 BME Module Fall 2016
Assignment #1
Due at the beginning of class August 26
Name: _Sophie Baillargeon_
Identify each of the numbered structures of the eye and briefly describe its function.
1
Structure
Anterior chamber
2
Vitreous body
3
Sclera
4
Cho

VANDERBILT UNIVERSITY
ES 1401 Introduction to Engineering: BME
Fall 2016
Assignment 5
Assume that you just went to the optometrist. He/she checked your eyes.
How was this done?
First, visual acuity is measured by your ability to identify letters or number

(d)
In part (a) we obtained these expressions for the spherical unit vectors in terms of
Cartesian unit vectors:
r = sin (cos x + sin y ) + cos z
= cos (cos x + sin y ) sin z
= sin x + cos y
Since x, y , z are independent of position, all the position-d

The rst and last terms (the ones involving Es ) can be grouped:
Es Es
1
+
=
(s Es )
s
s
s s
Thus we get the formula from the formula sheet:
E =
1
1 E Ez
(s Es ) +
+
s s
s
z
Problem 2: Potential Simplication
The potential of the dipole eld is given by
V (

(f ) f (s, , z) = |z z + x s|
Since z and s are members of the same orthonormal coordinate system (cylindri
cal), we can apply Pythagoras. We simply have to convert that Cartesian x to
cylindrical coordinates to obtain the eld f (s, , z):
f (s, , z) =
z 2

1
0
31.291 0.6038
Z 1 = 10 3
, Z 2 = 10 3
3
31.875 0.625
0.5 10 10
Z in 2 (s ) = z 2,11
z 2,12 z 2, 21
z 2, 22 + Z L
= (31.291) 10 3
(0.638)(31.875) 10 3
0.625 + 0.008
= 886.3791
Z in (s ) = z1,11
= 10 3
z1,12 z1, 21
(
)
(
)
z1, 22 + 10 3 | Z in 2

(b)
(i) (Left circuit)
V1 = I 1 * 16 + (I 1 + I 2 ) * 2 s + 8 I 1
4
V2 = I 2 * s + (I 1 + I 2 ) * 2 s + 8 I 1
So
2s I
V1 2s + 24
1
V = 2 s + 8 2s + 4 I
2
s 2
1
2s V
I 1 2 s + 24
4 1
=
I
+
+
2
s
8
2
s
V
2
s 2
4
1 2s +
2s V1
=
s
(2 s + 8) 2 s

s
+1
Y =
4
0.25 s(s + 4 )
s+3
3
1
4
s+4 4
1
3
1
+
+
s + 3 s + 4 4
(b)
Input impedance seen at port 1
y y
Yin (s ) = y11 12 21
y 22 + YL
Z in (s ) =
1
5s + 16
=
Yin (s + 4 )2
(c)
Since we are finding steady-state magnitude of gain, we can find the tran

From (3), we can get V3 =
Hence, y12 =
I1
V2
=
V1 = 0
15I 1
, substitute it into (4), we get V2 = 57I 1 .
2
I
1
, y 22 = 2
57
V2
=
V1 = 0
I1
8V2
=
V1 = 0
1
.
456
Observe that the determinant of the Y matrix in (i) (left circuit) is not zero, hence its
z

Name: Sophie Baillargeon
Pre-lab Questions for BME Module Instrumentation Lab
ES1401/2/3 Fall 2016
What is meant by the term Critical Flicker Frequency? (Also known as Critical Flicker Fusion
Threshold)
The critical flicker frequency is the frequency at w