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practice-final

Course Number: MATH 140, Fall 2008

College/University: Iowa State

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Math 140 E (Sp09) PRACTICE TEST FOR FINAL Suggestion: Try to solve it like a real test without notes and text and calculator within 2 hours. Later you can compare your answer with solutions. Try to explain every details. You may think you are explaining how to solve those questions to somebody who doesn't know about the college algebra. 1. Answer the following questions. a. Find an equation of the line...

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140 Math E (Sp09) PRACTICE TEST FOR FINAL Suggestion: Try to solve it like a real test without notes and text and calculator within 2 hours. Later you can compare your answer with solutions. Try to explain every details. You may think you are explaining how to solve those questions to somebody who doesn't know about the college algebra. 1. Answer the following questions. a. Find an equation of the line containing the point (-1, 2) that is perpendicular to the line y = 2x. b. Find an equation of the line containing the points (-3, 4) and (2, 5). 2. Two functions are given by f (x) = x + 1 and g(x) = 3x. Answer the following questions. When you state domains, use interval notations. a. Find domains of f and g. b. Evaluate (f + g)(3) and (f /g)(3). c. Evaluate (f f )(8) and (g f )(15). d. Find (f g)(x) and the domain. 3. Determine whether f (x) = -2x2 + 3 is even, odd, or neither (Explain why). 4. Write an each expression in the standard form a + bi where a, b are real numbers. a. i20 + i23 + i25 + i27 . b. 2 - 3i . 2-i 5. Solve |5 - 6x| < 9. 6. For the quadratic function f (x) = 4x2 - 2x - 1: a. Determine whether the parabola defined by f (x) is open up or down (explain why). b. Find the vertex and axis of symmetry of f (x). c. Find the x-intercepts of f (x). 7. a. Write a factored form of polynomial which has zeros -2, 1, 1, 3, -5. b. Find a polynomial function degree of 4 with rational coefficients and that has 3 - i and 5 as two of its zeros. 8. For the polynomial function f (x) = x3 + 2x2 - 5x - 6: 1 2 a. List the potential rational zeros of f (x). b. Write f (x) in linearly factored form. 9. For the polynomial function h(x) = (x - 1)2 (x - 3): a. Find the leading term and determine the end behavior h(x). b. Find all intercepts of h(x) c. Graph h(x). 10. For the rational function 2x - 1 , x+2 Find all asymptotes of R(x) and all intercepts of R(x). Also graph R(x) (Clearly.) R(x) = 11. The function 2x + 1 ,x = 1 x-1 is one-to-one. Find its inverse and figure out (f f -1 )(x). f (x) = 12. Graph f (x) = -ex-3 by using the basic exponential graph of y = ex . Describe how to get the graph of f from the graph of y = ex . Determine the domain, range, and horizontal asymptote of f . (Question: What if you have g(x) = - ln(x - 3) ?? ) 13. Solve 2x 8-x = 4x . 2 14. Solve log4 (x + 3) + log4 (2 - x) = 1. 15. Find the exact value of log5 3 25. 16. Evaluate 4 k!. k=0 17. The eighth term of an arithmetic sequence is 75, and the twentieth term is 39. Find the 1001th term. 3 18. Find 1 + 3 + 5 + + 59. 19. Find the fifth term and the general term of the geometric sequence which is given by 6 18 2, , , . . . . 5 25 20. Evaluate 5 k=0 1 4 k . 21. Find the coefficients of x3 and x7 in the expansion of (2x - 1)12 .

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Managing the Legal EnvironmentBL629 Brendon Stewart Rosemary Shaw Brendon.Stewart@vu.edu.au ph 99191848 Rosemary Shaw r.shaw@ballarat.edu.au - B109 - ph 53279360Topic One Understanding the Legal Environment within which Business Operates 1.
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Element four DefencesTwo principal defences can be raised by a D and the burden of proof rests with them:1. contributory negligence (governed by legislation): the P has failed to take reasonable care for their safety or the safety of their
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Managing the Legal Environment BL629 2007 DiscriminationFederal Legislation: Racial Discrimination Act 1975 (C'th) Sex Discrimination Act 1984 (C'th) Disability Discrimination Act 1992 (C'th) Age Discrimination Act 2004 (C'th) Victorian Legislation:
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Iowa State - MATH - 140
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Obligations and promises contractPromisesrmanaging contracts:o formation, obligations, validity, enforcement o use of restraint of trade and exclusion clauses o unfair terms (see TPA) o types of contracts (employment, sponsorship, supplier)r
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School of Business BL629 Managing the Legal EnvironmentOral Presentation 2007Objectives The purposes of the oral presentation are to enable you to: explore a specific topical aspect of law that affects organisations in your area of interest; deve
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School of Business BL502 Fundamentals of LawAssignment Teaching period 3 2007Objectives The purpose of the assignment is to enable you to: o undertake independent research into a number of aspects of the law; o reflect on and consider particular le
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University of Ballarat- School of Business HINTS FOR TESTS/EXAMS Prepared by Chris Baker, May 2007 It is highly recommended that you look at a book that has been written to help students improve their skills in note taking and answering law questions
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School of BusinessHow to Write Academic PapersA Guide for Students Undertaking Law UnitsAuthors: Chris Baker, Viv Stephens and Rosemary ShawPage 1 of 10CRICOS Provider Number 00103DCopyright School of Business, University of Ballarat, 2006
Allan Hancock College - BL - 502
Student Name ADRIAANS BARROW BATCHELOR BOAST BOOTH BOURKE BOYLE CAI CHEN CHEN COATES DART DONOHUE ELLEN FERRIER FRAWLEY GARVEY GAVRANOVIC GLENNEN GRAY HOARE HOLMES HOLSCHIER HOWARD HUANG INGLIS JAMES KENNEDY Lake LE POIDEVIN LLOYD LOCK LYONS MACKIE M
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School of Business BL502 Fundamentals of LawTopic A Framework of the Australian Legal SystemPreliminary points about lectures At the beginning of each lecture the lecturer will advise you of any administrative matters (supplementary information on
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School of Business BL502 Fundamentals of Law Tutorial Exercises for Topic ATutorial 1 Objectives Preparing for, participating in and reflecting on the exercises in this tutorial should enable you to have developed: o an appreciation of what topics w
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School of Business BL502 Fundamentals of Law Tutorial Exercises for Topic ATutorial 2 Objectives Preparing for, participating in and reflecting on the exercises in this tutorial should enable you to have: o thought through the complex social, econom
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School of Business BL502 Fundamentals of Law Tutorial Exercises for Topic ATutorial 3 The reception of English law, the Australian legal system and sources of lawObjectives Preparing for, participating in and reflecting on the exercises in this tu
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School of Business BL502 Fundamentals of Law Tutorial Exercises for Topic ATutorial 4 Courts and judges, statutory interpretation, analysing cases and precedentObjectives Preparing for, participating in and reflecting on the exercises in this tuto
Allan Hancock College - BL - 502
Sources of law in the Australian legal system Current major sources of lawLegislation law enacted by the Federal and State parliaments Common law law that has evolved through judicial decision and practice Equity The reception
Allan Hancock College - BL - 502
Commonwealth ConstitutionCommonwealth ConstitutionParliament has Legislative power The Ministry House of Representatives SenateCabinet has Executive powerThe Courts have Judicial power High Court Other federal courtsDoctrine of separation of
Allan Hancock College - BL - 502
Case law, the courts and the legal professionMain sources of law in Australia TypeCase law (common law)DescriptionJudge-made law (also known as common law) and equity Laws passed by Commonwealth, state and territory Parliaments (statutes), and
Allan Hancock College - BL - 502
LegislationStatute law (legislation) now constitutes that part of the law which most dominates our social and commercial lives. Legislation is the formal declaration of legal rules by parliament and people or bodies authorised by parliament. W
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School of Business BL502 Fundamentals of LawTopic B Introduction to Business StructuresImportant notes to students Your main references for this topic is the set of lecture slides and Sweeney. A number of other business law texts will also support
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Allan Hancock College - BL - 502
Tort lawTo be alive at all involves some risk.Harold MacmillanWhat is a tort?A tort is a civil wrong (other than a breach of contract) aimed at protecting individuals against infringements of their own personal rights These infringements may be
Allan Hancock College - BL - 502
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Allan Hancock College - BL - 502
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Allan Hancock College - BL - 502
Element four DefencesTwo principal defences can be raised by a D and the burden of proof rests with them:1. contributory negligence (governed by legislation): the P has failed to take reasonable care for their safety or the safety of the
Allan Hancock College - BL - 502
Occupier's LiabilityThe law of occupier's liability is concerned with the duty of care owed by occupiers of premises or land toward visitors, whether invited or uninvited, who suffer either personal injury or property damage during the course of t
Allan Hancock College - BL - 502
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Allan Hancock College - BL - 502
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Allan Hancock College - BL - 502
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Allan Hancock College - BL - 502
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Allan Hancock College - BL - 502
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Allan Hancock College - BL - 502
What is consideration?Consideration is the price paid for the promisor's promise and is the benefit received under the contract.The promisor is the person undertaking the promise, while the promisee is the person who is receiving or the recipient o
Allan Hancock College - BL - 502
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Allan Hancock College - BL - 502
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Remedies for BreachRemediesCommon lawEquitable remediesDamagesRecissionRestitutionSpecific PerformanceInjunctionQuantum meruitAnton Piller orderDamagesMain purpose of damages is to enable the innocent party to receive MONETARY
Allan Hancock College - BL - 502
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Allan Hancock College - BL - 502
Principal rules of offer and acceptanceHas an offer been made?NoNo contractDid the offeror intend to revoke the offer?YesDid the offeror communicate revocation?YesNo NoHas the offer lapsed due to death, rejection or time or because
Allan Hancock College - BL - 502
The elements of promissory estoppelThe assumption The promisee, on reasonable grounds, assumed that a particular legal relationship: existed (Quaglia's case); or would exist (Waltons Stores) between the promisor and the promiseeThe promisor was
Allan Hancock College - BL - 502
Pre-contractual oral statementsPre-contractual oral statementPuffTermRepresentationCollateral contractNo common law remedy; possible remedy under: TPA state FTAsParol evidence rulediscussed under vitiating factors misrepresentation
Allan Hancock College - BL - 502
Description of misrepresentationType Fraudulent Description A false statement of fact made knowingly or without belief in its truth, or recklessly, or carelessly as to whether it is true or false with the intention to induce a person to enter into
Allan Hancock College - BL - 502
Contract question Timberyard Pty Ltd placed an advertisement in the local newspaper: `Wanted: pine logs, 10 ft long, delivery within 4 weeks'. Assume the following occurs. Forest Pty Ltd phoned Timberyard and inquired about its requirements. Forest
Allan Hancock College - BL - 502
QUESTION TWO Contract Maggie and her son, Arthur, decided that the time had come for Maggie to move into a retirement village. There was a new one being built near Arthur's home, so they decided to investigate. The Retirement Village Manager supplie
Allan Hancock College - BL - 502
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Allan Hancock College - BL - 502
Tort law question Norman, a 13-year-old boy, and his friend, Greg, were playing golf on the Buglehorn Golf Course after paying their green fees. Greg hit a ball into the rough where the grass was about 1 metre high. Despite a mob of kangaroos feeding
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1BL 911, LECTURE 1: ACTIVITY 1: STUDENT ACTIVITIESEduSmart Solutions Pty Ltd sells educational software to the public. The software is designed to develop childrens reading and mathematical skills. EduSmart Solutions puts advertisements in The Aus
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