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### MidtermSolutions Winter07

Course: CEE 212, Winter 2006
School: Michigan
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Michigan - CEE - 212
CEE212 Structural and Solid Mechanics Winter Semester 2006-2007Homework #1(Due January 22, 2007) Normal and Shear Stress and Their Respective Strains1. Hibbeler Problem 1-24 (pg. 20) 2. Hibbeler Problem 1-30 (pg. 21) 3. Hibbeler Problem 1-34 (
Michigan - CEE - 212
CEE212 - Solid and Structural Mechanics - University of MichiganCEE212 - Solid and Structural MechanicsUniversity of Michigan, Winter Semester 2006-2007www.engin.umich.edu/class/cee212 Professor Jerome P. LynchBasic course informationCredits:
Cornell - CEE - 3040
CEE 304 Section 3 Problems 1. Suppose the diameters of ball bearings are normally distributed. You are told that the diameter of a ball bearing must be within 3.0 0.01 cm. No bearing outside this range is acceptable. You know from process that diam
Cornell - CHEM - 2070
Density of Liquids and SolidsBy Yiliu (Peter) Wang Teaching Assistant: Josie Bodle September 7, 2007Results and Discussion:Controlled Experiment:Distilled water was used first as a control to check the accuracy and precision of the balance. Wate
Cornell - CHEM - 2070
Optical SpectroscopyBy Yiliu (Peter) Wang Teaching Assistant: Josie Bodle October 26th, 2007Results and Discussion:The emission spectra from a variety of sources fluorescent light, incandescent light, helium, salt solutions, and hydrogen gas wer
Cornell - CEE - 3040
CEE 304 Uncertainty Analysis in Engineering Prelim 1October 3, 2007SHOW WORK.You may use the text, your notes, and calculators. No laptops or cell phones. There are 50 points in total. You have 50 minutes.1. (8 pts) There are three events of in
Cornell - CEE - 3040
CEE 304 UNCERTAINTY ANALYSIS IN ENGINEERING2005 Final Examination 2:00 4:30 PM, Friday, December 16, 2005 Exam is open book and open notes. It lasts 150 minutes and there are 150 points. SHOW WORK! 1. (10 pts 2 pts each) Short answer and true/fal
Wooster - PHY - 301
Don Jacobs djacobs@wooster.edu Taylor 108 X2390 http:/www.wooster.edu/Physics/jacobs/mechanics.htmlPhysics 301 Mechanics Text: Thornton &amp; Marion's Classical Dynamics, 5th Edition Week(s) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 weeks starting 8/27/07
Michigan - CEE - 212
Cornell - CEE - 3040
Cornell - CEE - 3040
Devore 5th Edition, Section 3.2 #12 (pp. 108) Let X = the number of tires on a randomly selected automobile that are under inflated a.) Which of the following three p(x) functions is a legitimate pmf for X? Why are the other two not allowed?0 0.3 0.
Cornell - CEE - 3040
Cornell - CEE - 3040
CEE 304 Uncertainty Analysis in EngineeringPrelim #2 November 11, 2005 You may use the text, your notes, and calculators. There are 50 points in total. You have 50 minutes.1. (12 pts) Consider the distribution with pdf:f Y ( y) = (r + 1) y rfo
Cornell - CEE - 3040
CEE 304 - UNCERTAINTY ANALYSIS IN ENGINEERINGHomework #7 Due: Due Monday, October 15, 2007. Read: Lec. Notes 18 and EXAMPLES! Text Section 4.5 (particularly Weibull and Lognormal discussion). By Friday, October 12, read sections 6.1 and 6.2 on Stati
Cornell - CEE - 3040
Anna Lee &amp; Jery Stedinger Fall 2006CEE 304 Section 9 Handout (Two Sample Hypothesis Tests)1. Are men taller than women as is often believed? Look at the following data on heights (with units of inches) that was collected by former CEE 304 student
Cornell - CEE - 3040
Cornell - CEE - 3040
Introduction to Spreadsheets: Using Microsoft ExcelJery R. Stedinger School of Civil and Envir. Engineering, Cornell University January, 2000, updated for EXCEL 2000 CONTENTS Introduction Tool Bar Have a Question? Workbooks and Worksheets Entering I
Cornell - CEE - 3040
Andrea Gruber &amp; Jery Stedinger Fall 2007 HW #11 Selection Solutions #7 Section 9.1, pg 334 (Devore 6, pg 370) nM 97 , M 10 .4 , s M 4.83n F 148 , F 9.26 , s F 4.68 Ho: M = F, Ha: M &gt;F, = 5% M and F unknown, but have large samples Use standard norma
Cornell - CEE - 3040
8) Devore Sec 8.1 (p.324-325) # 3: Ho: = 100 Ha: &gt; 100 In this formulation, Ho states the welds do not conform to specification. This assertion will not be rejected unless there is strong evidence to the contrary. Thus if the null hypothesis is rejec
Cornell - CEE - 3040
Q3. Supplemental exercise (p.127) # 103 (Devore 6th edition p141, #99)a) Supplemental exercise (p.141 # 99): if p = 0.1 and n = 3, what is the expected number of tests using this procedure? What is the expected number when n = 5? b) NOTE: If one jus
Cornell - CEE - 3040
Q1: Derived Distributions Part1: Find Constant and new pdf (5 points for constant c1 =1/r)Part 2: pdf of fy(y)Q3 Random Variables Good Essay Examples A random variable is a function that assigns a numerical value to the outcome of an event in a p
UC Davis - MATH - 150A
Math 150a: Modern Algebra Homework 1This problem set would ideally have been due Wednesday, October 3. But since I am running late, it can be turned with no penalty on Friday, October 5. Do problems 2.1.4 and 2.1.6 (see also the note in GK4) in addi
UC Davis - MATH - 150A
Math 150a: Modern Algebra Homework 2This problem set is due Wednesday, October 10. Starred problems may be harder and will be counted as extra credit. This includes both my starred problems and those in the book. Do problems 2.2.16(a,b), 2.2.17, 2.2
UC Davis - MATH - 150A
Math 150a: Modern Algebra Homework 7This problem set is due Wednesday, November 14. Do problem 5.9.2 and the following problems: GK1. A review problem in set arithmetic. a. If X is a subset of a group G, then X 2 does not mean the same thing as X X
UC Davis - MATH - 150A
Math 150a: Modern Algebra Cross-sections and complementsSince the book does not much discuss cross-sections and complements, here are some notes that may be helpful. This topic is related to sections 2.8 and 2.10 of the book. If G is a group and A
Michigan - CEE - 212
Homework #10 (LAST HOMEWORK!)(Due April 11, 2007) Deflection of Beams and Buckling ColumnsCEE212 Structural and Solid Mechanics Winter Semester 2006-20071. Hibbeler Problem 12-7 2. Hibbeler Problem 12-19 3. Hibbeler Problem 12-69 4. Hibbeler Pr
Cornell - CEE - 3040
CEE 304 Section #6 Example Problems 1. The maximum annual 24-hour rainfall in Vermont has a mean of 2.5 inches and a standard deviation of 0.7 inches. The distribution is often described by a Gumbel distribution (the appropriate asymptotic distribut
Cornell - CEE - 3040
Maximization of a function of two variables. Jery Stedinger October 2006 Consider the maximization of L[a,b]. The general solution recommended by multivariate calculus is to solve for a stationary point defined by the two equations: L[a,b] 0 a (1) L[
Cornell - CEE - 3040
CEE 304 - Section #8 Example Problems (10-26-04)Confidence Intervals for Small Samples: 1. An environmental engineer is studying the concentration of organics in a groundwater source for a rural water supply. Twelve samples yielded a sample mean and
Cornell - CEE - 3040
CEE 304 Uncertainty Analysis in EngineeringWeek TopicActivStats Chapters Devore 7 Sections PageProbability TheoryActivStats Ch. 1-4,68/24Intro to TQM; Data: display, summary, quantiles1.1-1.4ActivStats Ch. 12-141-458/27Elements of
Cornell - CEE - 3040
CEE 304 Section Notes (10/18/06)Example problems comparing MLE's and MM: 1. Given the probability mass function of a discrete random variable X:x 0 1 x0 P(X = x) 0.9(1-p) 0.9p 0.1where x0 is a fixed, known number. Suppose we have a sample {x1, .
Cornell - CEE - 3040
Anna Lee &amp; Jery Stedinger Fall 2006CEE 304 - Section # 8 HandoutConfidence Intervals for Small Samples: 1. An environmental engineer is studying the concentration of organics in a groundwater source for a rural water supply. Twelve samples yielded
Michigan - CEE - 212
CEE212 Structural and Solid Mechanics Winter Semester 2006-2007Homework #3(Due February 5, 2007) Mechanical Properties of Materials1. Hibbeler Problem 3-4 (pg. 102) 2. Hibbeler Problem 3-20 (pg. 105) 3. Hibbeler Problem 3-32 (pg. 116) 4. Hibbe
Michigan - CEE - 212
CEE212 Structural and Solid Mechanics Winter Semester 2006-2007Homework #2(Due January 29, 2007) Principle of Strain in Solid Mechanics1. Hibbeler Problem 2-4 (pg. 78) 2. Hibbeler Problem 2-10 (pg. 79) 3. Hibbeler Problem 2-28 (pg. 82) 4. Hibb
UC Davis - MATH - 150A
Math 150a: Modern Algebra Homework 32.2.13: Prove that every subgroup of a cyclic group is cyclic. Solution: Let H be a subgroup of the cyclic group Cn =&lt; x |xn = 1 &gt;. We want to show that H is cyclic. Let k be the first positive integer such that x
UC Davis - MATH - 150A
Math 150a: Modern Algebra Homework 4 Solutions2.3.16: Give an example of two isomorphic groups such that there is more than one isomorphism between them. Solution: Well, at first thought, Z/3 C3 , and there are two isomorphisms between them: 1 x,
UC Davis - MATH - 150A
Math 150a: Modern Algebra Homework 5 Solutions2.4.19: Prove that if a group contains exactly one element of order 2, then that element is in the center of the group. Solution: The key fact here is that conjugation preserves order: gn = e xgn x-1 =
UC Davis - MATH - 150A
Math 150a: Modern Algebra Homework 6 SolutionsGK1. Show that if G is a finite group and p is a prime number, then the number of elements of order p in G is divisible by p - 1. The result is certainly not true if p is not prime; be careful to explain
UC Davis - MATH - 150A
Math 150a: Modern Algebra Homework 7 Solutions5.9.2 Identify the group of symmetries of a baseball, taking the stitching into account and allowing orientation reversing symmetries. Solution: Carefully examine the stitching of a baseball. The stitche
UC Davis - MATH - 150A
Math 150a: Modern Algebra Homework 8 Solutions4.5.4 (b) Is O(2) isomorphic to the product group SO(2) {I}? Is O(3) isomorphic to SO(3) {I}? Solution: The group SO(2) is abelian [because the product of two rotations of R2 by angles and is a rotat
UC Davis - MATH - 150A
Math 150a: Modern Algebra Homework 9 SolutionsGK1. For which n is the dihedral group Dn equiconjugate with O(2)? Solution: Let x, y Dn be conjugate in O(2). Then both x and y are rotations or reflections. If x and y are both rotations, then they mu
UC Davis - MATH - 150A
Math 150a: Modern Algebra Homework 10 Solutions5.6.3 (a) Exhibit the bijective map (5.6.4) explicitly, when G is the dihedral group D4 and S is the set of vertices of a square. Solution: Let S = {s1 , s2 , s3 , s4 } be the vertices of the square lab
UC Davis - MATH - 150A
UC Davis - MATH - 150A
Kuperberg (10/17/07)Math 150a: Modern Algebra First Midterm Solutions1. Show that every finite group G has an even number of elements of order 3. Solution: In general, for any element g of any group, the orders of g and g-1 are the same. This come
UC Davis - MATH - 150A
Kuperberg (11/14/07)Math 150a: Modern Algebra Second Midterm SolutionsI decided to post students' solutions that I liked for these questions. This way you can see real examples of good work. 1. In the additive group , what is 10 + 25 in set arithm
UC Davis - MATH - 150A
Math 150a: Modern Algebra Solutions to the Final1. If G is a group with a subset A, then conditions for A to be a subgroup are: (1) A is closed under multiplication, (2) A contains the identity 1, and (3) A is closed under taking inverses. Suppose t
NSUOK - ECON - 2213
Chapter 4 US Economy: Private and Public SectorsI.II.IV.Households as Income Receivers A. Functional distribution of 1. Wages and salaries are 72 percent of the total. 2. Proprietors' income (income to self-employed business owners, doctors,
NSUOK - ECON - 2213
Chapter 5 The US in the Global EconomyI.II.Linkages A. Several economic flows link the U.S. economy with the economies of other nations. B. These linkages are 1. Goods and services flows 2. Capital and labor (resource) flows 3. Information and
NSUOK - ECON - 2213
Exam 1 Ch -2 Sample Spring 20081. For economists, the word &quot;utility&quot; means: A) versatility and flexibility. B) rationality. C) pleasure and satisfaction. D) purposefulness. 2. When entering a building, Sam diverts his path to go through an open door
NSUOK - ECON - 2213
NORTHEASTERN STATE UNIVERSITYCollege of Business and Technology Department of Economics Tahlequah-Oklahoma INSTRUCTOR: Ray Murphy Office: Shawnee Theater OCRD -124 W. Shawnee, Suite COffice Hours: 10:00-12:30 MW and 3:00-5:00 M; 10:00-12:30 F Tele
NSUOK - ECON - 2213
CH 3 Questions Class1. State the law of demand and explain why is the other-things-equal assumption critical to it? 2. Give three explanations for the law of demand: 3. Distinguish between the meaning of the expressions &quot;change in demand&quot; and &quot;chan