# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

1 Page

### Test2PracticeProbs_ans

Course: D 1597, Spring 2009
School: Minnesota
Rating:

Word Count: 232

#### Document Preview

1597, Math Honors Calculus II Test 2 Practice Problems answers 1. a) 1/2 b) e1 2. 10. Each integration by parts decreases the power of x in the integrand by one. After 10 integrations by parts, the remaining integral can be evaluated directly. 3. 3 2 x sin(2x) 3 + 4 cos(2x) + C 4. 1/4. (Let u = cos(x) or u = sin(x). 5. cos(3x) 6 6. cos(7x) 14 +C 8 tan3 () sec()d Bx+C x2 +9 7. a) A + x b) A + x B x2 + C...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Minnesota >> Minnesota >> D 1597

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
1597, Math Honors Calculus II Test 2 Practice Problems answers 1. a) 1/2 b) e1 2. 10. Each integration by parts decreases the power of x in the integrand by one. After 10 integrations by parts, the remaining integral can be evaluated directly. 3. 3 2 x sin(2x) 3 + 4 cos(2x) + C 4. 1/4. (Let u = cos(x) or u = sin(x). 5. cos(3x) 6 6. cos(7x) 14 +C 8 tan3 () sec()d Bx+C x2 +9 7. a) A + x b) A + x B x2 + C x3 + D x2 8. 2 ln |x| ln |x + 1| + 1 ln |x 1 | + C 2 2 9. 2x ln |x + 2 | + C 3 10. 2u2 du. u2 4 4x2 3 3x Easier since no square root: divide out and use partial fractions. 11. 12. 2 +C 13. True. {an } must not only converge, but must converge to zero. Lots 14. of correct answers. For example: 1,-1,1,-1,... or an = (1)n n . 15. 0. Lots of correct explanations. For example, the degree of the denominator is larger than the degree of the numerator, so the denominator grows faster than the numerator. Or, better, divide all terms in numerator and denominator by n2 ; then the numerator goes to zero and the denominator goes to one. 16. (a) converges to 8 ...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Minnesota - D - 3280
DEMathematicaHints.nb1Mathematica NotesMathematica Hints1. All reserved words begin with capital letters. Eg. E, Sin, Solve, Plot, . 2. Arguments of all functions are always in square brackets: Sin[x], Solve[x^2=1, x], . . See below for the fou
Minnesota - D - 1597
Math 1597, Honors Calculus II Proofs (and hints) to know for the Final Exam1 1. Show the inverse derivative formula (Theorem 2.3, Chapter 7): f -1 (x) = f (f -1 (x) . (Hint: start with f (f -1 (x) = x and take the derivative of both sides, using the
Minnesota - D - 1297
Math 1297, Calculus II Lecture Section 8 Proofs (and hints) to know for Test 1 1. Show a b is perpendicular to a. (Hint: Dot a b with a and show it equals zero. See p. 852.)1 2. Show the inverse derivative formula (7.1): f 1 (x) = f (f 1 (x) . (Hi
Minnesota - FIELDDAY - 05
2005 Upper Midwest Manure Handling ExpoPrinting sponsored byMinnesota Custom Applicators Association www.mnmanure.com August 11, 2005University of Minnesota Southern Research and Outreach CenterWaseca, Minnesota35838 120th St. Waseca, MN 560
Minnesota - JROCK - 2
Minnesota - JOHN - 2921
Russian-Ukrainian Bilingualism in Post-Soviet Ukraine The field research presented here scrutinizes the relationship between language choice and the nationalization campaign in Ukraine. Since the dawn of the Soviet era the Russian language was the ma
Minnesota - GEERS - 001
Computer Music 2: Interactive Techniques and Theory MUS 5592/ COLA 5950 Tuesdays+Thursdays, 1:25-2:55 Room 215 Ferguson Hall Spring 2009 Professor: Office hours: Doug Geers geers001@umn.edu, 612-624-43033-4pm Tuesdays 215 Ferguson; 10-11am Wednesda
Minnesota - ME - 4054
Suggestions for a Successful Senior Design Project1. Assume the project advisor is one of your customers, not the project leader. The advisors have an abstract idea of what they would like at the end of the project. However, they dont know the optim
Minnesota - IE - 5553
Review of ProbabilityYimin Yu January 28, 20091Sample Space and EventsConsider an experiment whose outcome is unknown in advance. Let S, called the sample space of the experiment, denote the set of all possible outcomes. Question: Name example
Minnesota - ME - 8282
Department of Mechanical Engineering University of Minnesota ME8282 Nonlinear Systems Spring 2007 Prof. Perry Y Li Assigned: 26th January (Friday) Due: 2nd Feburary (Friday) 1. Consider the one-hump map, x(k + 1) = h x(k)(1 - x(k); 0 &lt; h 4. For 1
Minnesota - ME - 2011
Quick Start Guide for Pro/ENGINEER Wildfire 3.0W. Durfee, October 2008 Introduction This is a quick start guide for the Pro/ENGINEER CAD application. It was inspired by the &quot;Beginner's Guide to Pro/ENGINEER&quot; written by Professor Tom Chase, Departmen
Minnesota - ME - 8381
INSTITUTE OF PHYSICS PUBLISHING Nanotechnology 16 (2005) 12211233NANOTECHNOLOGY doi:10.1088/0957-4484/16/8/041In vitro characterization of movement, heating and visualization of magnetic nanoparticles for biomedical applicationsVenkatasubramania
Oklahoma State - MATH - 4023
3. ca . cbcb caevah ew )i( yb niagA roc = c 0, )c(b )c(a evah ew 5O yb neht ,b )c( + c = 0 . a ba fI .c0 oS .)i( yb neht ,0c fI )ii(ro)b( + )a( + b)b( + )a( + a evah ew 4O yb nehT .ba taht esoppuS )i(.foorP.deyolpme eb nac y
Oklahoma State - MATH - 6490
TOPICS IN GEOMETRY: SHEAF THEORY MATH 6490, SPRING 2009 HOMEWORK 2Exercise 1. Let F be a field, and (V , d ) be a complex of finite-dimensional F -vector spaces. Assume that it is a finite complex, i.e., Vn = 0 for only finitely many n. Show that (
Oklahoma State - MATH - 2153
CALCULUS IIMATH-2153-006Instructor: Dr. A. Raghuram. Contact Information: Oce: 504 Mathematical Sciences Phone: 744-7746 e-mail: araghur@math.okstate.edu Oce Hours: 10:3011:30 a.m. on Tuesdays and 1:302:30 p.m. on Wednesdays. Course website: http:/
Oklahoma State - MATH - 4713
Oklahoma State - MATH - 4713
Oklahoma State - MATH - 4713
Oklahoma State - MATH - 4713
Oklahoma State - MATH - 3613
74.noitulos a sahnZni]1[ = ]x[]a[ |n oitauqe eht fi ylno dna fi 1 = )n ,a (D CG nehT .1 &gt; n htiw sregetni eb n dna a teL .2.31 yralloroC .emirp si p os ,p dna 1 era p fo srotcaf ylno eht neht ,sdloh )3( fi ecneH .p = b dna 1
Oklahoma State - MATH - 3613
) 2z( + ) 1z( = 2yi - 2x + 1yi - 1x = )1.61( ) 2y + 1y(i - 2x + 1x = ) 2y + 1y(i + 2x + 1x( = ) 2z + 1z( , 2yi + 2x = 2z dna 1yi + 1x = 1z fi nehT .)C ni noitagujnoc xelpmoc si ,.e.i( yi - x = )yi + x( erehw C C : pam eht redisnoC .1 elpmaxE.ev
Oklahoma State - MATH - 3613
Math 3613: Introduction to Modern Algebra Syllabus - Spring 2008Instructor: Dr. Birne Binegar 430 Mathematical Sciences Tel. 744-5793 Email: binegarmath.okstate.edu Homepage: www.math.okstate.edu/binegar 9:30 - 10:20, AGH HES 331 Mondays, Wednesdays
Minnesota - ME - 3331
THE SECOND LAW OF THERMODYNAMICS -2Additional observations on the nature of processes and cycles.Heat, Work and Energy. A First Course in Thermodynamics 2009, F. A. Kulacki Module 23 Slide 1 The Second Law of Thermodynamics - Additional Observatio
Minnesota - ME - 3331
THE SECOND LAW OF THERMODYNAMICS - 1The direction of physical processesHeat Work and Energy. A First Course in Thermodynamics 2009, F. A. Kulacki Module 22 Slide 1 Introduction to the Second Law - The Direction of Natural ProcessesOverview Exam
Minnesota - ME - 3322
Sandra BoetcherFrom: Sent: To: Subject: owner-me3322-sum@enet.umn.edu on behalf of esparrow [esparrow@umn.edu] Friday, June 17, 2005 12:18 PM me3322-sum@me.umn.edu Essay #4ESSAY #4 LAWS OF NATURE WHICH GOVERN FLUID FLOWS All fluid flows which occu
Minnesota - ME - 4331
Minnesota - MATH - 2373
Math 2373 Week 9 Toews1Laplace TransformThe Laplace transform of a function f : R+ R+ is dened as L{f (t)} :=0est f (t)dt,s [0, ].(1)We often denote L{f } by F (s). Note that F (s) also maps R+ to R+ , and observe that (1) only make
Minnesota - MATH - 2373
Minnesota - MATH - 2373
Math 2373 Week 2 Toews1Determinants The determinant of A = a c b d isdet(A) := |A| = ad bc. Determinants of higher order matrices are dened recursively. In particular, the minor of an element aij in an n n matrix A is the determinant of th
Minnesota - MATH - 2373
Math 2373 Week 10 Toews1Homogenous First Order Linear SystemsA homogenous first order linear system of differential equations is an equation of the form y = Ay, (1) where y Rn and A Rnn . In general, each independent solution of this system w
Minnesota - MATH - 2373
Math 2373 Week 3 Toews1InversesA-1 A = AA-1 = InThe inverse of a matrix A Rnn is the unique matrix A-1 Rnn such thatwhere In Rnn is the identity matrix (i.e. has ones on the diagonal and zeros everywhere else.) An invertible matrix is cal
Minnesota - MATH - 2373
Math 2373 Week 4 Toews1Linear IndependenceVectors a1 , , an are called linearly independent if and only if the relation x1 a1 + + xn an = 0 implies that x1 = x2 = + xn = 0. Alternatively (but equivalently) the vectors a1 , , an are
Minnesota - MATH - 2373
Math 2373 Week 7 Toews1Complex Eigenvalues and EigenvectorsThe eigenvalues of a matrix A Rnn are the roots of the n-degree polynomial det(A - I). A complex root is a complex eigenvalue. The procedure for finding the associated eigenvectors is
Minnesota - MATH - 2373
For each integer i, 1 i n, let ai denote the ith column of A, let ei denote the ith column of the identity matrix In , and let Xi denote the matrix obtained from In by replacing column i with the column vector x. We know that for any matrices A, B
Minnesota - MATH - 2373
Math 2373 Instructor: ToewsWeek 1 Gaussian Elimination An mxn system of linear equations can be represented by an mx(n+1) dimensional matrix: Elementary matrix operations: Multiply a line by a constant Switch rows Add a multiple of one row t
Minnesota - MATH - 2373
Minnesota - MATH - 2373
Math 2373 Week 11 Toews1Decoupling Systems of EquationsLet A Rnn have eigenvectors 1 , , n with corresponding eigenvectors v1 , , vn . Define P to be the matrix whose i-th column is vi , i.e. P := (v1 vn ) , and note that P -1 AP = P
Minnesota - MATH - 2373
Math 2373 Week 4 Toews1Second Order Constant Coecientsay + by + cy = 0. (1)The general form of such an equation is:The associated auxiliary equation is p(m) = am2 + bm + c = 0. This is a quadratic and thus has two roots, m1 and m2 . Three ca
Minnesota - MATH - 2373
Math 2373 Week 8 Toews1Reduction of Ordery (x) + p(x)y (x) + q(x)y(x) = f (x).Consider the general second order linear non-homogenous equation (1) (2)If q 0, this becomesy (x) + p(x)y (x) = f (x),for which we can make the substitut
Minnesota - MATH - 2373
Minnesota - CHEM - 4101
First name Christine Sara Rita Beryl Miseung Katrina Robert Megan Derek Aimee Rith Katie Abbey Laura Joshua Observations:Topic Anti-anxiety medication safety Stents with drugs to prevent resenosis Rocket fuel spills in water contaminate food meat a
Minnesota - CAMM - 0010
Research Bibliography Second Languages and Cultures Education Prepared for CI 8631-8632Allright, R. L. (1988). Observation in the language classroom. New York: Longman. Bernard, H. R. (1988). Research methods in cultural anthropology. Newbury Park
Oklahoma State - DOCUMENT - 2304
Oklahoma Cooperative Extension ServiceEPP-7168Plant Galls Caused by Insects and MitesTom RoyerExtension EntomologistDon C. ArnoldSurvey EntomologistOklahoma Cooperative Extension Fact Sheets are also available on our website at: http:/osuf
Oklahoma State - DOCUMENT - 2137
Oklahoma Cooperative Extension ServiceANSI-3655Pasture Cooling for Bred SowsRaymond L. Huhnke William G. LuceExtension Agricultural EngineerExtension Swine SpecialistOklahoma Cooperative Extension Fact Sheets are also available on our websi
Oklahoma State - DOCUMENT - 5308
Oklahoma Cooperative Extension ServiceEPP-7323Managing Storm-Damaged TreesDamon L. Smith Eric J. RebekAssistant Professor/State Specialist, Horticultural Crops PathologyOklahoma Cooperative Extension Fact Sheets are also available on our webs
Oklahoma State - DOCUMENT - 2609
Oklahoma Cooperative Extension ServiceAGEC-227Adjusting and Setting Up Mechanical Dockage TestersPhil KenkelExtension EconomistKim AndersonExtension EconomistOklahoma Cooperative Extension Fact Sheets are also available on our website at:
Oklahoma State - DOCUMENT - 2047
Oklahoma Cooperative Extension ServiceANSI-3400Home Slaughtering and Processing of BeefHaroldR.HedlickandWilliamC.ShingelDepartmentofFoodScienceandNutritionMauriceAlexanderDepartmentofAnimalHusbandry,CollegeofAgricultureOklahomaCooperativ
Minnesota - HOTMETRICS - 08
HotMetrics 2008 Session I: Systems Services, and EnergyScribe: Brian L. Mark, George Mason University1Image Management in a Virtualized Data CenterPresenter: Tingxi Tan, University of Calgary Discussant: Question: How do you specify the perfor
Minnesota - ROZAI - 001
Gathering Materials1. HTML-Building for WebCTIn WebCT Campus Edition (CE), you will almost always need to convert your text documents into HTML documents.1 It's not necessary to know HTML in order to use WebCT, but it's sometimes helpful to have a
Minnesota - ROZAI - 001
GRAD 8101 ASSIGNMENTSAUTOBIOGRAPHY OF A LEARNERAn autobiography of a learner tells the story of your experiences with teaching and learning and explores the impact they have had on you as a learner and a teacher. The assignment serves three purpos
Minnesota - NORD - 0380
POL3235W Nordquist Summer 2008 Writing a 12-15 page paper (four-credit option) Step One: Generating a Topic The four-credit option requires you to write a longer, 12-15 page paper for the course. Such papers, to be well-conceived and well-written, ta
Minnesota - ZIEF - 0002
'EPsy 8262Regression &amp; The General Linear Model Lab #2\$DEVELOPING A DEEP UNDERSTANDING OF STATISTICAL INFERENCEIn your rst homework assignment, you investigated the relationship between the graduation rates of Black and White college football
Minnesota - MODULE - 9
Poetry UnitTOM DESHOTELS / SPRING 2004This unit is inspired by Sheridan Blaus The Literature Workshop: Teaching Texts and Their Readers, Bruce Emras Coming of Age: Literature About Youth and Adolescence, Katie Schultzs poetry unit, and Jennifer Vi
Minnesota - MODULE - 12
Film analysis using formalist lensJENNIFER LARSON / MAY 12, 2004PurposesThis unit is for 11th grade Advanced Placement English studying AP Language and Composition. It will be the first unit of the year. Students will already have read The Things
Minnesota - MODULE - 12
Literary Film Adaptations: Chaucer ExtravaganzaAMY GUSTAFSON &amp; KATHY CONNORS / MAY 12, 2004Unit Context Level: High School o Because of the Literature we picked, this would be for a British Literature Course. The literature used would all have a
Minnesota - MODULE - 10
A bright idea: bring biases out of the darkHEATHER JOHNSON / JULY 18, 2002 The mission of this unit is to identify the many levels of bias in the media, primarily in the news. The scope of bias can be carried throughout every type of media and thi
Minnesota - MODULE - 11
Video Curriculum: Documentary Production and AnalysisNORINA BECK / SEPTEMBER 10, 2002Subject: Community and HomeThis curriculum seeks to incorporate the techniques of video production with an understanding of how these techniques shape our interp
Minnesota - MILLE - 066
Geol 4110 Take home Final Reports - EARTH SCIENCE TEACHING UNIT DUE FRIDAY, MAY 114/05/07Objective: For your final exam, you will be asked to develop a 10- (individually) to 15-hour (as a pair) teaching unit on an Earth Science theme and grade le
Minnesota - SHIN - 0104
Introduction (1) A Case from China: Fertility PolicyLocal Society in Modern State:The Imperative of the Dual-rule GameRule 1: Chinese National Fertility Policy 1n nOne Couple, One Child Relatively Universal Rule Local Knowledge and Practice M
Minnesota - CLAR - 0514
Chapter 15Reading and Writing Social ResearchHow to Read Social Research Begin with the abstract. Skim the piece. Read the conclusion to get a good sense of what it is about. Form questions as you read and take notes. Abstract A summary of a
Minnesota - PSY - 2007
Andy Hertel Introduction to Social PsychologyTodayPsychology 3201: Introduction to Social PsychologyElliott Hall Room N119 Monday, January 29 4:00-6:00PM 4:00-Social cognitionSchemasEffects Nature TypesSocial cognitionWe are interdependen