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### quiz6

Course: MA 227, Fall 2009
School: UAB
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NAME: Quiz STUDENT 6 Calculus III - MA 227 7B March 21, 2007 Time : 10 min Instructions 1. Calculators are NOT permitted on this quiz. 2. Correct answers without any justication will earn no credit. Question 1. Evaluate x cos(y)dA, D where D is bounded by y = 0, y = x2 , and x = 9. (5 points) Instructor: Kulkarni Calculus Mandar III - Quiz 6 STUDENT NAME: Question 2. Evaluate (x + y)dA, R where R is the...

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NAME: Quiz STUDENT 6 Calculus III - MA 227 7B March 21, 2007 Time : 10 min Instructions 1. Calculators are NOT permitted on this quiz. 2. Correct answers without any justication will earn no credit. Question 1. Evaluate x cos(y)dA, D where D is bounded by y = 0, y = x2 , and x = 9. (5 points) Instructor: Kulkarni Calculus Mandar III - Quiz 6 STUDENT NAME: Question 2. Evaluate (x + y)dA, R where R is the region that lies to the left of the y-axis between the circles x2 + y 2 = 1 and x2 + y 2 = 4, by changing to polar coordinates. (5 points) Instructor: Mandar Kulkarni Calculus III - Quiz 6
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UAB - MA - 227
KEYTest 2Calculus III - MA 227 7B February 28, 2007 Time : 60 minInstructionsThis test consists of two parts. In Part I, your answer must be correct. No partial credit will be given. For credit to be awarded in this part you MUST show your work.
UAB - MA - 227
KEY:Test 1Calculus III - MA 227 7B February 05, 2007 Time : 50 minInstructionsThis test consists of two parts. In Part I, your answer must be correct. No partial credit will be given. For credit to be awarded in this part you MUST show your work
UAB - MA - 261
MA 261/419/519-3BSpring, 2007Introduction to Mathematical ModelingWhy Teach Mathematical Modeling?For most people, the value of mathematics lies in applications, and modeling is one of the most useful applications of mathematics. One may model
UAB - MA - 261
Sandhill Crane Model with Three Growth Rates Best Growth Rate Initial Pop Year 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0.02 100 Medium -0.03 100 Worst -0.04 100Pop (best) Pop (medium) Pop (worst)
UAB - MA - 261
Sandhill Crane Model with Three Growth Rates Best Growth Rate Initial Pop Year 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0.02 100 Medium -0.03 100 Worst -0.04 100Pop (best) Pop (medium) Pop (worst) 100 100 100
UAB - MA - 261
MA 261/419/519Assignment 4: First Population ModelSpring, 2006You have received a worksheet entitled First Population Model v2.0. This is your opportunity to build a real STELLA model with only a little tutorial guidance in carrying out the det
UAB - MA - 261
Simple Averaging AutomatonInstructions 1. Set up the spreadsheet to be a square grid, 13 columns and 13 rows (column width 4, row height 22.5). 2. Set up Excel for iteration. 1. Go to Tools/Options/Calculations and a. Set calculation to Manual. b. N
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MA 261/419/519Assignment 9: Riverbed [100 points]Spring, 2007Using your SAA (13 by 13), analyze the results of the Riverbed model begun in class. Iterate the model and print out the final table and a surface graph of the results. [50] Write a p
UAB - MA - 261
The RiverbedA box of iron filings is dumped in a river. A few moments later, samples are taken from the riverbed downstream of the dump site, and the concentration of iron filings is determined. This data is shown below. Why might the iron filings b
UAB - MA - 261
0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0
UAB - MA - 261
STELLA Model Scoring GuideSTELLA allows one to create a mathematical model by assembling visual components and assigning a formula to each component. One can also insert tables and graphs indicating the change of the system over time. The guidelines
UAB - MA - 261
Sample Test Question TipsProblem 1Generate the graph as usual, like in Old Faithful for instance, following the graph scoring guide. The linear equation is height = -2.7245 * (time) + 3.7792, and its R^2 value is 0.9352. The quadratic equation is h
UAB - MA - 261
Temperature Increase (degrees Farenheit) Surviving Bacteria (Bacteria) 0 758 5 592 10 441 15 307 20 244 25 149 30 136 35 97 40 51 45 54
UAB - MA - 261
Unit TitleLesson Plan for a Unit SpanningCourse: Teacher:DaysDate:Theme or Goals for UnitObjectives(Clearly expressed, to be explained at the start of each day's class.) Day 1 Day 2 Day 3 Day 4 Day 5Materials and Equipment Needed(Text, h
UAB - MATH - 261
Sample Questions Modeling Test 2A typical test would contain three of the types of questions below. 1. For each line below, match a BOT graph with the appropriate graph description, feedback description(s), and simple Stella model which could produc
UAB - MATH - 261
UAB/EdGridGraduate Assistants: Robert Cusimano Jeanine SedjroJohn C. Mayer UAB/MathematicsCreates a mathematical representation of some phenomenon to better understand it. Matches observation with symbolic representation. Informs theory and expl
UAB - MATH - 261
Breeding Chows and Vizslas10 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10DispositionAppearanceJohn C. MayerIntroduction to Mathematical Modeling1The chow/vizsla example is from Lessons for A First Course in System Dynamics Modeling v1.0 by
UAB - MATH - 261
MA 261/419/519Old FaithfulSpring, 2006A geyser is a type of hot spring that erupts and sends hot water and steam into the air. The process starts as ground water seeps into fissures in hot rocks and is heated by the rocks beneath the earths sur
UAB - MATH - 261
MA 261/419/519Old FaithfulSpring, 2006A geyser is a type of hot spring that erupts and sends hot water and steam into the air. The process starts as ground water seeps into fissures in hot rocks and is heated by the rocks beneath the earth s su
UAB - MATH - 261
7bcf4b0abda4999e144c766bba87ddcffbaa0b04.xls MA 261 Mathematical Modelling06/03/2009ANOVA(Analysis of Variance)Research Question: Are a student's mathematics skills related to his/her mathematics anxiety level?Student X (Math Skills) Y (Math
UAB - MATH - 261
5cd979afe4b5ac7941e1f3bfd3802b87fe1f286b.xls MA 261 Mathematical Modelling06/03/2009ANOVA(Analysis of Variance) Student S (Math Skills) A (Math Anxiety) 1 70 35 2 80 30 3 62 41 4 90 28 5 45 60 6 30 80 7 65 55 8 50 50Do Math Skills and Anxiety
UAB - MATH - 261
anova.xlsMA 261 Mathematical Modelling1/19/2006ANOVA(Analysis of Variance) Student S (Math Skills) A (Math Anxiety) 1 70 35 2 80 30 3 62 41 4 90 28 5 45 60 6 30 80 7 65 55 8 50 50Do Math Skills and Anxiety Correlate?100 90 80 70 60 50 40 30
UAB - MATH - 261
John C. Mayer Introduction to Mathematical Modeling MA 261/419/519Spring, 2006How to Build a Stella ModelIn this tutorial you will learn how to build two simple Stella models: (A) water flow from a faucet into a barrel, and (B) accumulation of m
UAB - MATH - 261
John C. Mayer Introduction to Mathematical Modeling MA 261/419/519Spring, 2006How to Build a Stella ModelIn this tutorial you will learn how to build two simple Stella models: (A) water flow from a faucet into a barrel, and (B) accumulation of m
UAB - MATH - 261
Calculating Deaths1/Lifespan versus Death RateHow Long Do We Live? National Center for Health Statisticshttp:/www.cdc.gov/nchs/releases/02facts/final2000.htm Average US Lifespan: 76.9 years Age-Adjusted Death Rate: 872/100,000Population Mod
UAB - MATH - 261
STELLA and CalculusSTELLA numerically simulates the solutions to systems of differential equations.STELLA INTEGRATES!Calculus Example 1STELLA DiagramStock XFlow 1Flow is constant.Constant aSTELLA Equations:Stock_X(t) = Stock_X(t - dt)
UAB - MATH - 261
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UAB - MATH - 261
Integration MethodsEuler RungeKutta 2 RungeKutta 4 Euler's MethodLet Stock = X Let flow = f(t, X) [function of time, Stock] Compute X(t) from X(tdt) and time. X = dt * f (tdt, X(tdt) X(t) = X(tdt) + X Euler's MethodAssume flow =
UAB - MATH - 261
Euler Runge-Kutta 2 Runge-Kutta 4Let Stock = X Let flow = f(t, X) [ function of time, Stock] Compute X(t) from X(t-dt) and time. X = dt * f (t-dt, X(t-dt) X(t) = X(t-dt) + XAssume flow = f(t).Xf(t-dt)X = dt * f(t-dt)Xt-dt dt t flow = f(t)
Mines - CSCI - 370
Field SessionName: _ Major: _ Minor/ASI: _ Field Session Project Choices: 1. _ 2. _ 3. __Coursework. To help us match your background with project requirements, please indicate what courses you have taken and the grade obtained. Course 261:Intro
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Dog Model Part 1Question 1 2 3 (5 per issue) 4 graph 4 explanation Total Part 1 1 answer 1 line 2 3 4 5 (5 per issue) 5 common method 5 summary graph Total Part 2 Total DogPoints 5 5 20 5 5 40 3 3 4 4 4 20 6 6 10 60 100Part 2Human Growth Ques
UAB - MATH - 261
MA 261/419/519Assignment 4: First Population ModelSpring, 2006You have received a worksheet entitled First Population Model v2.0. This is your opportunity to build a real STELLA model with only a little tutorial guidance in carrying out the det
UAB - MATH - 261
MA 261/419/519Assignments 6: Generic ProcessesSpring, 2006You have received worksheets entitled Generic Processes I-III. Your assignment is to create three models of your choice exhibiting the behavior described in each part: I. linear growth o
UAB - MATH - 261
MA 261/419/519Assignment 7: Cellular AutomataSpring, 2006Using your simple averaging automaton (13 cell by 13 cell version), determine what happens when you replace the formulas in the upper right, upper left, and lower left cells by 13 and the
UAB - MATH - 261
Simple Averaging AutomatonInstructions 1. Set up the spreadsheet to be a square grid, 13 columns and 13 rows (column width 4, row height 22.5). 2. Set up Excel for iteration. 1. Go to Tools/Options/Calculations and a. Set calculation to Manual. b. N
UAB - MATH - 261
The RiverbedA box of iron filings is dumped in a river. A few moments later, samples are taken from the riverbed downstream of the dump site, and the concentration of iron filings is determined. This data is shown below. Why might the iron filings b
UAB - MATH - 261
0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0
UAB - MATH - 261
MA 261/419/519Assignment 9: Easter Island Population Model Spring, 2006You have received a worksheet entitled Easter Island Population Model v1.1. You will need to know how to use the PULSE function and possibly the STEP function and the IF-THEN-
UAB - MATH - 261
MA 261/419/519Assignments 10: Drug AssimilationSpring, 2006You have received the worksheet entitled &quot;The Drug Assimilation Model,&quot; the last major homework assignment. Complete the worksheets for the Drug Assimilation Model, providing answers to
Washington - IS - 300
IS300 Lab SessionIntroductionLab Website http:/courses.washington.edu/is300ly On the lab website, you will find the lab schedule, tutorials, assignments and TA information. The website will always have the most current information. Lab Assignments
Hudson VCC - ME - 111
Hudson VCC - ME - 111
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UAB - MA - 109
KEYTest 4Survey of Calculus - MA 109 1B December 04, 2006 Time : 50 minInstructionsThis test consists of two parts. In Part I, your answer must be correct. No partial credit will be given. Show your work, and write your answer in the space indic
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The Information School at the University of WashingtonXML SpyBob Boiko UW iSchool ischool.washington.edu Metatorial Services Inc. www.metatorial.comAll materials copyright Bob Boiko. Do not use without permissionSpy OrientationThe Information
Washington - INFO - 430
TheInformationSchoolattheUniversityofWashingtonXMLSpyBob Boiko UW iSchool ischool.washington.edu Metatorial Services Inc. www.metatorial.comAll materials copyright Bob Boiko. Do not use without permissionSpyOrientationTheInformationSchoolatth
UAB - MA - 109
KEYQuiz 10Survey of Calculus - MA 109 1B December 1, 2006 Time : 10 min(5 points) Question 1. Find the derivative of the given function. Show all your work for full credit. f (x) = x2 exSolutionf (x) =d 2 x (x e ) dx d d = x2 ex + ex x2 dx
UAB - MA - 109
STUDENT NAME:Quiz 10Survey of Calculus - MA 109 1B December 1, 2006 Time : 10 min(5 points) Question 1. Find the derivative of the given function. Show all your work for full credit. f (x) = x2 exInstructor: Mandar KulkarniSurvey of Calculus
UAB - MA - 109
KEYQuiz 9Survey of Calculus - MA 109 1B November 29, 2006 Time : 10 min(10 points) Question 1. The management of the UNICO department store has decided to enclose an 400 sq.f t. area outside the building for displaying potted plants and flowers.
UAB - MA - 109
STUDENT NAME:Test 3Survey of Calculus - MA 109 1B November 08, 2006 Time : 50 minInstructionsThis test consists of two parts. In Part I, your answer must be correct. No partial credit will be given. Show your work, and write your answer in the s
UAB - MA - 109
KEYQuiz 8Survey of Calculus - MA 109 1B November 03, 2006 Time : 15 min(5 points) Question 1. Use the rst derivative test to nd the relative maxima and minima, of the function, g(x) = x3 3x2 + 7. Show all the steps. Solutiong(x) = x3 3x2 + 7
UAB - MA - 109
KEYBonus ProblemsSurvey of Calculus - MA 109 1B Due: October 27, 2006 In Class(3 points) Question 1. Let x2 - 36 f= kx + 6if x = -6 if x = -6Find the value of k that will make f continuous on (-, ). Solution We need to select k such that f
UAB - MA - 109
STUDENT NAME:Bonus ProblemsSurvey of Calculus - MA 109 1B Due: October 27, 2006 In Class(3 points) Question 1. Let x2 - 36 f= kx + 6if x = -6 if x = -6Find the value of k that will make f continuous on (-, ).Instructor: Mandar Kulkarni
UAB - MA - 109
KEYQuiz 6Survey of Calculus - MA 109 1B October 25, 2006 Time : 10 min(10 points) Question 1. Find the rst and second derivative of the given function. Show all your work. Simplify your answer completely. f (x) = (x2 + 8)4Solution f (x) = (x2 +
UAB - MA - 109
STUDENT NAME:Quiz 5Survey of Calculus - MA 109 1B October 20, 2006 Time : 10 min(10 points) Question 1. Find the derivative of the given function. Show all your work. g(u) = u+3 5u + 2Instructor: Mandar KulkarniSurvey of Calculus - Quiz 5
UAB - MA - 109
KEYQuiz 3Survey of Calculus - MA 109 1B September 27, 2006 Time : 10 min(10 points) Question 1. Find the indicated limit, if it exists. Show all your work. 9x4 - 7x2 + 1 x 3x4 + x3 + x2 + x + 1 limSolution 9x4 - 7x2 + 1 lim x 3x4 + x3 + x2 + x
UAB - MA - 109
STUDENT NAME:Test 1Survey of Calculus - MA 109 1B September 13, 2006 Time : 50 minInstructionsThis test consists of two parts. In Part I, your answer must be correct. No partial credit will be given. Show your work, and write your answer in the
UAB - MA - 109
KEYQuiz 2Survey of Calculus - MA 109 1B September 11, 2006 Time : 10 min(5 points) Question 1. Determine whether the point (6, 12) lies on the graph of the function |t 5| f (t) = . t+5 Justify your answer. Solution A point lies on the graph of a
UAB - MA - 109
KEYQuiz 1Survey of Calculus - MA 109 1B September 07, 2006 Time : 5 min(10 points) Question 1. A manufacturer of a certain commodity has estimated that her prot in thousands of dollars is given by the expression 4x2 + 16x 10 where x (in thousand
UAB - MATH - 261
DO FIRST: Type your name here in place of this line.MA 261/419/519Test #1February 22, 2006Copy this test, Test1Spr06.doc, and the Excel file drug.xls from the course website (http:/www.math.uab.edu/mayer/Test1Spr06.doc) to your computer and di
UAB - MATH - 261
DO FIRST: Type your name here in place of this line.MA 261/419/519Test #1February 22, 2006Copy this test, Test1Spr06.doc, and the Excel file drug.xls from the course website (http:/www.math.uab.edu/mayer/Test1Spr06.doc) to your computer and di
UAB - MATH - 261
Time (hours) 0 1 2 3 4 5 6 7 8 9 10 11 12Concentration (mg/l) 0 2.2 3.7 4 4 6.8 7.6 7.4 9.8 9.1 11.5 11.2 12.1