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### solutions14

Course: MATH 308, Fall 2009
School: Bard College
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Word Count: 1403

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308 Math Week 14 Solutions NSS 8.2 32. Determine the Taylor series for f (x) about the point x0 . f (x) = ln(1 + x), x0 = 0 Answer: We can find the Taylor series for ln(1 + x) by finding the Taylor series for 1 1 and then integrating. The Taylor series for is: 1+x 1+x 1 = 1 - x + x2 - x3 + x4 - x5 + . . . 1+x This Taylor series is obtained using the formula for geometric series: a + ar + ar2 + ar3 + ar4 + ar5 +...

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Bard College - MATH - 141
Math 141: Business Math I Section 506 First Day Handout GENERAL INFORMATIONSpring 2008 HELD 113, MW 4:10-5:25 Instructor: Maria Belk, 122 Milner Hall, 845-1474, mbelk@math.tamu.edu Time and place: MW 4:10-5:25, HELD 113 Webpage: http:/www.math.
Bard College - MATH - 142
Name:Math 142: Worksheet 1Work in groups of 2 to 4 people on this worksheet. At the end of class, turn in your answers. (You can either turn in one worksheet for the group, or each person in the group can turn in their own worksheet.) 1. For the f
Bard College - MATH - 141
Math 141, Fall 2008 Exam 1Name:1. [15 points (5 pts each)] Evaluate the following limits. Each of your answers should be either a number, infinity, or minus infinity. (a) lim B B_ &amp; B#(b) limB%B' B%(c) lima# 2b&amp; \$# 2! 2Math 141, Fal
Bard College - MATH - 317
Math 317 Homework 10Due Tuesday, November 25 Solutions should be written neatly and legibly. You are encouraged to work with others on the assignment, but you should write up your own solutions independently. You should reference all of your sources
Bard College - MATH - 141
Math 141 Homework 6Name: _1. You deposit \$1000 in a bank account with a nominal interest rate of 6%year. (a) Suppose that the interest compounds once per quarter (that is, you get 1.5% interest, four times a year). What is the real yearly interes
Bard College - MATH - 141
Math 141: Business Math I Sections 506 and 523 Practice Problems for the Final ExamSpring 2008 MW 4:10-5:25, TR 3:55-5:101. Thomas invests \$5,000 in a savings account. (a) If the account earns simple interest at a rate of 4.3%/year, how much mone
Bard College - MATH - 141
Math 141: Business Math I Sections 506 and 523 6.4Spring 2008 MW 4:10-5:25, TR 3:55-5:101Before Coming to ClassReading Assignment: Read Sections 6.2 and 6.3 in the textbook, and try the suggested problems from those sections. Skim Sections 6.
Bard College - MATH - 141
Math 141 Homework 1Name: _1. At age \$, little Joey was 3 feet tall. By age 5, he had grown to 3 feet, 5 inches. (a) Assuming linear growth, how tall do you expect Joey to be at age 8?(b) Write a formula for Joey's expected height at age B.(c)
Bard College - MATH - 317
Formal Proof-The FourColor TheoremGeorges GonthierThe Tale of a BrainteaserFrancis Guthrie certainly did it, when he coined his innocent little coloring puzzle in 1852. He managed to embarrass successively his mathematician brother, his brother's
Bard College - MATH - 141
Math 141: Business Math I Sections 506 and 523 2.4-2.6Spring 2008 MW 4:10-5:25, TR 3:55-5:101MatricesA matrix is an ordered rectangular array of numbers. We say a matrix has dimensions m n if it has m rows and n columns. The entry in row i a
Wisconsin - BIRTHTO - 3
EXAMPLES PROVIDED BY: Bridges for Families Birth to 3 Program Initial IFSP ChecklistThings To Do Prior to the Initial IFSP (Early Intervention Team Meeting): 9 9 Schedule the meeting with at least one member of the evaluation team and the family. (
Wisconsin - BIRTHTO - 3
EXAMPLE PROVIDED BY: Bridges for Families Birth to 3 ProgramService Coordinator Checklist for Children Transitioning to Madison Public Schools Created July 2002 Revised July 2003 RESOURCES Video describing the options available through MMSD Early
Wisconsin - BIRTHTO - 3
Details about the ECO Family Survey Data Gathering Process The ECO Family Survey is a tool used to prepare your self assessment report. It is a required tool during the year for the scheduled On-site Review and an optional tool during other years. Th
Wisconsin - BIRTHTO - 3
DATA VERIFICATION CHECKLISTFor state team to use for data verification and collection of new federal indicatorsChilds HSRS ID Number CountyI.PART C DATA COLLECTIONS Check the file for each data element below and compare it to the data provided
Wisconsin - BIRTHTO - 3
Birth to Three Program Review Focus QuestionsEVALUATION AND ASSESSMENT How do you conduct initial evaluations? What typical procedures and processes are used? How does your team determine eligibility? How does your team complete Family Directed Asse
Wisconsin - BIRTHTO - 3
_County Birth to 3 ServicesCHILD:_ BIRTHDATE:_Service Coordinator:_ Phone Number:_ Referral Date: _ Initial IFSP Date: __ Number of Days between Referral and Initial IFSP Dates: _ IFSP Review Due Date: _ IFSP Review Date(s)*: 1)_2)_3)_ 4)_5)_6)_
Wisconsin - BIRTHTO - 3
8. STAFF HIGHLIGHTS-Pam Garman, former Winnebago County Birth to 3 Program CoordinatorReflections on 16 Years in Birth to 3 and the Evolution of Service Delivery in Natural
Wisconsin - BIRTHTO - 3
SERVICE COORDINATOR QUESTIONS Child Find 1. Do you participate in Child Find activities? If yes, please describe your role.Evaluation/Assessment 2. How do you assemble your evaluation teams to find children eligible, and when eligible conduct asses
Wisconsin - BIRTHTO - 3
Parent/guardian explanation of B-3 Authorization for Information Document What happens when I sign this form?(1)&quot;Consent to Refer&quot;.When you sign the top half of this form you are giving consent for the Birth to 3 Program to send an electronic &quot;r
Wisconsin - BIRTHTO - 3
Service Coordinator Guidance to use with Consent for Referral and Exchange of Information with Local School DistrictDRAFTKey Points for Using this Sample Form Reassures the parent that they are given ultimate decision-making authority on the info
Wisconsin - BIRTHTO - 3
PPS Process Questions 11-13-08October 1 Count: If a child is closed on Oct. 1, they will be counted in your Oct. 1 Count Any child over three on Oct. 1 should be exited on 9/30 so they are NOT counted on your Oct. 1 count. Children served after age
Wisconsin - WORKSHOP - 5
Hyperspectral Cloud Top RetrievalsRobert E. Holz, Steve Ackerman, Matthew McGill, Paolo Antonelli and Fred NagleOverviewPart 1. CO2 Sorting + Slicing cloud height retrieval validation Part 2. Night time polar cloud height detection using AIRS hyp
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Hyperspectral Cloud Boundary RetrievalsRobert E. Holz Steve Ackerman, Paolo Antonelli, Wayne Feltz, Fred Nagle, and Ed ElorantaOverview Motivation Cloud level algorithms S-HIS cloud top retrieval AERI cloud base retrievalWhy Investigate Clou
Wisconsin - WORKSHOP - 5
Hyperspectral IR Cloudy Fast Forward ModelJ. E. Davies, X. Wang, E. R. Olson, J. A. Otkin, H-L. Huang, Ping Yang#, Heli Wei#, Jianguo Niu# and David D. Turner*Cooperative Institute for Meteorological Satellite Studies (CIMSS), Madison, WI #Depart
Wisconsin - WORKSHOP - 5
5th Workshop on Hyperspectral Science of UW-Madison MURI, Airborne, LEO, and GEO Activities79 June 2005 University of WisconsinMadison Madison, WisconsinWELCOME!PI: Allen Huang PM: Wayne Feltz CIMSS Secretary: Maria Vasys Presentation details
Wisconsin - CS - 731
Approximate Inference (Belief Propagation)What is Belief Propagation (BP)?BP is a specific instance of a general class of methods that exist for approximate inference in Bayes Nets (variational methods). Simplified Bayes Net is the key idea of BP.
Wisconsin - ISCA - 2005
Dataflow: Passing the TokenArvind Computer Science and Artificial Intelligence Lab M.I.T. ISCA 2005, Madison, WI June 6, 20051Inspiration: Jack DennisGeneral purpose parallel machines based on a dataflow graph model of computationInspired all
Wisconsin - CS - 755
Channels: Channels are grouped in a binary tree as follows: Each channel represents a submodule and a generalized partition of itself. The partition represents the &quot;channel&quot; subdividing the submodule. channel name = &quot;CDChanDef&quot; (type=OCT_BAG) contain
Wisconsin - CS - 540
* Lecture 32: Neural Nets/Back Propagation 17 April 1996 Prepared by David Randolph ** Exam 2 Results-high grade: 100low grade: 39mean: 77median: 7
Bard College - MATH - 141
Bard College - MATH - 317
Open problems of Paul Erds in graph theory oF. R. K. Chung University of Pennsylvania Philadelphia, Pennsylvania 19104The main treasure that Paul Erds has left us is his collection of problems, o most of which are still open today. These problems
Bard College - MATH - 141
The Chain RuleThe chain rule is the last of the derivative formulas. It is most easily written using variables and the Leibniz notation:CHAIN RULE If C depends on ?, and ? depends on B, then: .C .C .? oe .B .? .BThe idea is that the two .?'s ca
Bard College - DMD - 08
Flag Vectors of PolytopesAn Overview Margaret M. BayerUniversity of KansasDMD-Bard 2008DenitionsCONVEX POLYTOPE: P = conv{x1 , x2 , . . . , xn } Rd proper FACE: intersection of supporting hyperplane with P FACE LATTICE: , P, and proper faces,
Bard College - MATH - 308
Math 308 Week 3 SolutionsHere are the solutions to the even-numbered suggested problems. The answers to the oddnumbered problems are in the back of your textbook, and the solutions are in the Solution Manual, which you can purchase from the campus b
Bard College - CMSC - 201
CMSC 201: DATA STRUCTURES LAB 1: RECURSIONGREG LANDWEBERThis lab assignment is due by 9 AM on Wednesday, September 10. To turn in this lab, e-mail your solutions to the problem, with your Java code attached, to gregland@bard.edu. (1) Today's first
Bard College - MATH - 141
Math 141: Business Math I Sections 506 and 523 7.5-7.6Spring 2008 MW 4:10-5:25, TR 3:55-5:101Before Coming to ClassQuiz: There will be a quiz in class on Section 7.4. To prepare for the quiz, you should read Section 7.4, re-read the class not
Bard College - MATH - 141
Bard College - MATH - 141
Bard College - MATH - 308
Math 308 Week 10 SolutionsHere are solutions to the even-numbered suggested problems. The answers to the oddnumbered problems are in the back of your textbook, and the solutions are in the Solution Manual, which you can purchase from the campus book
Bard College - MATH - 601
Divergence Theorem ExamplesGauss' divergence theorem relates triple integrals and surface integrals.GAUSS' DIVERGENCE THEOREM Let F be a vector field. Let W be a closed surface, and let e be the region inside of W . Then: ( ( F . A oe ( ( ( divaF
Bard College - BIO - 112
Name _Exercise 4: Evaluating the Effectiveness of Antibiotics, Antiseptics, and Disinfectants1INTRODUCTION Antiseptics, disinfectants, and antibiotics can be referred to as chemical antimicrobial agents, in contrast to physical antimicrobial agen
Bard College - BIO - 301
Biology 301: Biochemistry Syllabus (Fall 2007)John B. Ferguson Reem-Kayden Center for Science and Computation 215 Bard College PO Box 5000 Annandale-on-Hudson, NY 12504-5000 845-752-2333 ferguson@bard.edu http:/science.bard.edu/biology/ferguson/cour
Bard College - BIO - 112
Name _Exercise 11: Worm Infections - Trichinosis and SchistosomiasisINTRODUCTION Trichinosis is a disease of carnivory. Infection occurs when a carnivore or omnivore eats the flesh of an animal previously infected with Trichinella spiralis. Durin
Bard College - BIO - 112
Name _Exercise 2: The Gram Stain for BacteriaINTRODUCTION Historically the Gram stain has been extremely useful in diagnosing bacterial infections and in identifying bacteria in the environment. This simple procedure will usually rule out about h
Bard College - BIO - 310
Name _Exercise 10: Behavior of lac Mutants on Indicator Plates[Adapted from MILLER, JEFFREY H., Experiments in Molecular Genetics, Cold Spring Harbor NY: Cold Spring Harbor Laboratory, 1972, pp. 4755.]INTRODUCTION The lac operon of Escherichia
Bard College - BIO - 310
Appendix 3: Laboratory RecipesAMINO ACIDS, STOCK SOLUTIONS1L-amino acid. 20 mg or D,L-amino acid . 40 mg Deionized water . 10 mL Autoclave. Add 10 mL to each liter of minimal medium to make a final concentration of 20 g L-isomer per mL.AMPICILLI
Bard College - BIO - 310
Appendix 4: Inventory of 70 C FreezerBox 042 039 036 047 043 052 001 002 003 055 038 004 048 049 023Description 15955, 33970 19, 20, 38, 51, 52, 54, 1324, 1325, 5231, 5232, TNT7 50, 53, 92D, 589, 591, 1210, a1Ba, DBY 1324, DBY 1325, DBY 5231, DBY
Bard College - BIO - 310
Name and Partners' Names _Exercise 4: Nitrosoguanidine Mutagenesis and the Isolation of Auxotrophic Mutants[Adapted from: MILLER, JEFFREY H. Experiments in Molecular Genetics. Cold Spring Harbor NY: Cold Spring Harbor Laboratory, 1972, pp. 125129
Bard College - BIO - 112
Name _Exercise 10: MalariaINTRODUCTION Malaria is an extremely debilitating, often fatal disease that is endemic in tropical and subtropical areas of the world. It is caused by protozoans of the genus Plasmodium, which infect the bloodstreams of
Bard College - BIO - 310
Name &amp; Partners' Names _Exercise 1: The Luria and Delbrck Fluctuation Test[Adapted from: GLOVER, S. W. The Luria and Delbrck fluctuation test. Experiment 3 in CLOWES, R. C., &amp; W. HAYES, eds. Experiments in Microbial Genetics. Oxford: Blackwell, 1
Bard College - BIO - 112
Name _Exercise 3: Normal Flora of the Human Mouth - Examination and CultureINTRODUCTION Last week you learned the Gram staining technique and encountered the usual problems in getting the procedure to produce predictable results in inexperienced
Bard College - BIO - 310
Name &amp; Partner's Name _Exercise 7: Extraction of DNA and TransformationINTRODUCTION Transformation is the process whereby living prokaryotic cells take in DNA from their surroundings and incorporate it into their genomes in some stable fashion, s
Bard College - BIO - 112
Name &amp; Partners' Names _Exercise 9: The Plaque Assay of Viruses[Adapted from CAROLINA BIOLOGICAL SUPPLY COMPANY. Bacteriophage Culture and Titer Determination. Burlington NC: Carolina Biological Supply Company, 1979.]INTRODUCTION Counting someth
Bard College - BIO - 112
Name _Exercise 1: Introduction to the Laboratory and to the MicroscopeINTRODUCTION TO THE LABORATORY Take special note of the location of the fire alarm switches, fire extinguishers, the first aid kit, and the emergency eyewash and shower facilit
Bard College - BIO - 112
Name _Exercise 5: Evaluating the Effectiveness of Toilet Paper as a Barrier Against Microbes1INTRODUCTION What did people use before toilet paper was invented? Here is one version of the story:Patrons of public restrooms in ancient Rome used a s
Bard College - BIO - 141
Name &amp; Partner's Name _Exercise 9: Extraction of DNA and TransformationINTRODUCTION Transformation is the process whereby living prokaryotic cells take in DNA from their surroundings and incorporate it into their genomes in some stable fashion, s
Bard College - BIO - 310
Name _Exercise 6: Interrupted Matings[Adapted from HAYES, W. &quot;Interrupted mating: mapping and the estimation of genetic distance as a function of time,&quot; Experiment 30 of CLOWES, R. C., &amp; W. HAYES, eds. Experiments in Microbial Genetics. Oxford: Bl
Bard College - BIO - 112
Name _Exercise 6: A Trip to the Sewage Treatment Plant - Sample Collection and Quantitative AnalysisINTRODUCTION In this exercise we will assess the effect of Bard's drinking water plant on its input (water from the Sawkill) and the effect of the
Bard College - BIO - 310
Name _Exercise 3: Replica Plating[Adapted from: MILLER, JEFFREY H. Experiments in Molecular Genetics. Cold Spring Harbor NY: Cold Spring Harbor Laboratory, 1972, pp. 5659.]INTRODUCTION This exercise will introduce you to the technique of replica
Bard College - BIO - 310
Appendix 1: Autocalibration of Orion Model 420A pH Meter with Two Buffers11.Choose either 7.00 and 4.01 or 7.00 and 10.01 standard buffers, whichever will bracket your expected sample range. If necessary press the mode key until pH mode is indica
Bard College - BIO - 112
Biology 112: Biology of Infectious DiseaseEhrlichiosis, Anaplasmosis, and Legionnaires DiseaseEhrlichiosis and anaplasmosisMap showing the states at particular risk for the occurrence of human granulocytotropic anaplasmosis (HGA, red), human mo