OpenIntro Statistics
Second Edition
David M Diez
Quantitative Analyst
Google/YouTube
david@openintro.org
Christopher D Barr
Assistant Professor
Department of Biostatistics
Harvard School of Public Health
chris@openintro.org
Mine Cetinkaya-Rundel
Assistant
8
HOW TO WRITE A LAB REPORT
it was in plain, unaffected English, such as Mr. Knightly
used even to the woman he was in love with
- Emma
8.1 INTRODUCTION
Science is fundamentally a communal process, in which individual scientists develop ideas
and then se
Math Methods Test III Solutions
Spring 2012
Problem 1: (10 pts) Eigenvectors of Transformations
For each of the transformations below, give the number of real, independent
eigenvectors. You do not need to justify your answers.
a) A rotation by 20 degrees
Math Methods Test III
Spring 2012
2.5 Hours
Open Book
NO CALCULATORS
NAME: _
INSTRUCTIONS:
Show your work clearly and box your answers.
You may use your book and your notes. You may not use any other
reference, you may not use a calculator (or a computer)
20.1104 Intro. to Engng Analysis (Studio/Laptop Version) Test #4, December 6, 1996
Solution
For all problems, 95% of credit is given for complete FBD, statement of theory, definition of required vectors, substitute of vectors into theory, and identificati
Math Methods Test IV Solutions
Spring 2012
Problem 1: (10 pts) A Tube
You are running an experiment in which steam is produced inside a long, thin tube. The
concentration of steam in the tube is given by the function
. What does it mean if
throughout the
Math Methods Test IV
Spring 2012
2.5 Hours
Open Book
NO CALCULATORS
NAME: _
INSTRUCTIONS:
Show your work clearly and box your answers.
You may use your book and your notes. You may not use any other
reference, you may not use a calculator (or a computer),
Math Methods Test IV Solutions
Spring 2012
Problem 1: (10 pts) A Tube
You are running an experiment in which steam is produced inside a long, thin tube. The
concentration of steam in the tube is given by the function
. What does it mean if
throughout the
Math Methods Test II
Spring 2012
2.5 Hours
Open Book
NO CALCULATORS
NAME: _
INSTRUCTIONS:
Show your work clearly and box your answers.
You may use your book and your notes. You may not use any other
reference, you may not use a calculator (or a computer),
Math Methods Test II Solutions
Spring 2012
Problem 1: (10 pts) Complex Trajectories
For each of the functions below plot the trajectory in the complex plane, including a
curve showing the values of the function and arrows showing which direction its
movin
Math Methods Test I Solutions
Spring 2011
Problem 1: (30 pts): A Suspended Charge
A small charged ball in a tube experiences an upward electrical force Felec
and a
y2
downward gravitational force Fg mg . Write a differential equation for the position of
Math Methods Test I
Spring 2011
2 Hours
Open Book
NO CALCULATORS
NAME: _
INSTRUCTIONS:
Show your work clearly and box your answers.
You may use your book and your notes. You may not use any other
reference, you may not use a calculator (or a computer), an