580.439/639 Solutions to Homework #1
Problem 1
Part a) At equilibrium, the electrochemical potentials of molecules in the A and B states
will be equal, so
B
A
al = al
or
A
0B
B
A
B
0A
al + RT lnCal + FV = al + RT lnCal + FV
Note that zal = +1 and that it
Math 241 Solutions to Homework Set # 7
Number 1. 15 points
Prove using the , method that each of the following limits hold:
(a) lim x2 = 25
x5
1
1
=
(b) lim
x7 x
7
(c) lim x = 9
x81
Solution: (a): Let > 0 be given. Choose to be the minimum of 1 and /11. T
Homework 4. Solutions
1 Calculate the Christoffel symbols of the canonical flat connection in E3 in
a) cylindrical coordinates (x = r cos , y = r sin , z = h),
b) spherical coordinates.
(For the case of sphere try to make calculations at least for compone
Probability Theory and Statistics (EE/TE 3341)
Homework 5 Solutions
Yates and Goodman 3e Solution Set:
4.5.6, 4.5.10, 4.5.17, and 4.6.8
4.2.1, 4.3.1, 4.3.4, 4.4.2, 4.4.4, 4.4.6,
Problem 4.2.1 Solution
The CDF of X is
0
FX (x) = (x + 1)/2
1
x < 1,
1 x < 1,
Precalculus Summer Homework Solutions
1.a)
b) 8x 3 y + x 2 y 6xy 3
2x 3 x 2 + 7x 7
d) x 2 2x 24
2. a) 3x 6x
3
2
e)
1
7
4
cfw_ a 0
a
b) 3x 6
6
710
c) 3x 2 + 5x 2
d) 3x 2 + 6x + 2
1
cfw_m 0, n 0
m
b) x 3 4x 2 15x +18
4. a) 4y 2 + 3y 1 cfw_ y 0
5. a) 3x 4 y
Math 5652: Introduction to Stochastic Processes
Homework 5 Solutions
You are welcome and encouraged to discuss the problems with your classmates; please write
up your own solutions, and indicate collaborators on your write-up.
(1) (10 points) (Durrett 3.1
MATH 3005 Homework Solution
Han-Bom Moon
Homework 4 Solution
Chapter 4.
1. Find all generators of Z6 , Z8 , and Z20 .
Z6 , Z8 , and Z20 are cyclic groups generated by 1. Because |Z6 | = 6, all generators
of Z6 are of the form k 1 = k where gcd(6, k) = 1.
1
Solution Focused Therapy
Treatment Manual for Working with Individuals
Research Committee of the
Solution Focused Brief Therapy Association
Terry S. Trepper
Eric E. McCollum
Peter De Jong
Harry Korman
Wallace Gingerich
Cynthia Franklin
The purpose of th
The author(s) shown below used Federal funds provided by the U.S.
Department of Justice and prepared the following final report:
Document Title:
Strengthening Forensic Science in the United
States: A Path Forward
Author:
Committee on Identifying the Needs
The Woodlands High School
Highlander Happenings
August 22 -September 3, 2016
ADVISORY ASSIGNMENTS: All students will report to Advisory on the first day of school, Monday,
August 22 at 7:20am. This includes students who have late arrival or Lone Star Mont
AP Chemistry Summer Assignment
Welcome to AP Chemistry! I look forward to working with each of you next year.
AP Chemistry is a rigorous course in which we will have to cover two college semesters
of introductory chemistry and introductory chemistry labor