MATH 110AH - Fall 2011
Final exam: take home part
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STUDENT ID #:
You may use the textbook and your notes.
Please work this exam on your own.
Please show all your work.
There are 5 problems for a total of 20 points.
1. (4 points) Let G be a nite group
Practice Problem Set 2 - Solution
July 28, 2015
Problem 1 Let a, b, and c be nonzero integers. Show that if c|ab and p is a prime divisor of c, then p
divides either a or b.
Solution.
Since p|c and c|ab, it is clear that p|ab. Since p is a prime number, p
Practice Problem Set 2-Ideals-solution
July 27, 2015
Problem 1 Let R be a ring, and I be an ideal of R. Prove that there is a bijection between the two sets:
cfw_J|J is an ideal of R containing I.,
cfw_J |J is an ideal of R/I..
Solution.
Let A be the form
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Sample Questions
Q 1. Protons are generated during photosynthesis. Describe the fate of these protons and explain how they contribute to the conversion of light energy into chemical energy.
Q 2. Hi. I took our first biology test and messed up big time. I need the correct answers so I can review for the final. Can you help?
#1) Which of the following bacteria does NOT belong with the others? (I chose B)
A) Staphylococcus
B) Halobacterium
C) Sulfolobus
D) Halococcus
E) Methanobacterium
#2) All of the following bacteria are motile; which does (do) NOT have flagella? (I chose C)
A) Spirochetes
B) Helical Bacteria
C) Salmonella
D) Escherichia
E) Pseudomonas
#3) Which one of the following does NOT belong wih the others? (I chose D)
A) Rickettsia
B) Wolbachia
C) Ehrlichia
D) Coxiella
E) Staphylococcus
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Tips for Asking Questions
Provide any and all relevant background materials. Attach any necessary files to ensure your Tutor has all the required information to answer your question as completely as possible.
Set a compelling price. While our Tutors are eager to answer your questions, offering a compelling price speeds up the process by avoiding any unnecessary price negotiations.
Sample Questions
Q 1. Protons are generated during photosynthesis. Describe the fate of these protons and explain how they contribute to the conversion of light energy into chemical energy.
Q 2. Hi. I took our first biology test and messed up big time. I need the correct answers so I can review for the final. Can you help?
#1) Which of the following bacteria does NOT belong with the others? (I chose B)
A) Staphylococcus
B) Halobacterium
C) Sulfolobus
D) Halococcus
E) Methanobacterium
#2) All of the following bacteria are motile; which does (do) NOT have flagella? (I chose C)
A) Spirochetes
B) Helical Bacteria
C) Salmonella
D) Escherichia
E) Pseudomonas
#3) Which one of the following does NOT belong wih the others? (I chose D)