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Hong Kong Polytechnic University - COMP - 3868
CC2002 Creative and Critical ThinkingSemester Two 2011/12Tutorial 6 Deductive Reasoning (I)Recall from Lecture 6 thata.A statement( / ) is a sentence( ) which states that something is the case.b.A proposition( ) is the meaning of a statement.c.In
Hong Kong Polytechnic University - COMP - 3868
CC2002 Creative and Critical ThinkingSemester Two 2010/11Tutorial 7 Deductive Reasoning (II)a)A deductive argument( ) is an argument in which the conclusion is claimed to be justified by (or to followfrom) the premise(s) with necessity( ), i.e., it
Hong Kong Polytechnic University - COMP - 3868
Hong Kong Polytechnic University - COMP - 3868
CC2002 Creative and Critical ThinkingSemester One 2011/12Tutorial 8 Deductive Reasoning (III): Categorical LogicRecall from Lecture 8 thata. We have learnt the basic elements of Aristotelian categorical logic , the first systemof formal deductive log
Hong Kong Polytechnic University - COMP - 3868
CC2002 Creative and Critical ThinkingSemester One 2011/12Tutorial 9 Inductive Reasoning(A)Determine whether the following arguments are inductive generalizations, statistical syllogisms,or analogical arguments.(i) The last three mobile phone I owned
Hong Kong Polytechnic University - COMP - 3868
CC2002 Creative and Critical ThinkingSemester One 2011/12Tutorial 10: Fallaciesa.A fallacy is an error in thinking.b.There are 4 categories of fallacy: Inconsistency, Irrelevancy, Insufficiency and Inappropriate Presumptionc.A person commits the f
Hong Kong Polytechnic University - COMP - 3868
CC2053: Algebra 3Introduction to Calculus and Linear Algebra 2011/2012 Semester 1LINEAR ALGEBRA: Matrix Inverse Methods1CC2053: Algebra 3Inverse of a Square Matrix Let In be an n x n matrix with 1 at the diagonal and zero elsewhere, then In is calle
Hong Kong Polytechnic University - COMP - 3868
CC2053: Calculus 1Introduction to Calculus and Linear Algebra 2011/2012 Semester 1CALCULUS: Limits, Continuity and Derivatives1CC2053: Calculus 1Limits - The concept of limitWhat happens to the functionx2 + x - 2 f ( x) = x -1as x approaches 1 ? f
Hong Kong Polytechnic University - COMP - 3868
CC2053: Calculus 2Introduction to Calculus and Linear Algebra 2011/2012 Semester 1CALCULUS: Techniques of Differentiation1CC2053: Calculus 2Techniques of Differentiation1. The Constant Rule For any constant c,d (c) = 0 . dxdx2. The Power Rule d n
Hong Kong Polytechnic University - COMP - 3868
CC2053: Calculus 6Introduction to Calculus and Linear Algebra 2011/2012 Semester 1CALCULUS: Applications of Differentiation1CC2053: Calculus 6Increasing and Decreasing Functions, Concavity2CC2053: Calculus 6Increasing and Decreasing Functions Sign
Hong Kong Polytechnic University - COMP - 3868
CC2053: Calculus 7Introduction to Calculus and Linear Algebra 2011/2012 Semester 1INTEGRATION: Anti-Derivative and Indefinite Integrals1CC2053: Calculus 7AntiderivativeA function F(x) for whichfor every x in the domain f is said to be an antideriva
Hong Kong Polytechnic University - COMP - 3868
CC2053: Calculus 8Introduction to Calculus and Linear Algebra 2011/2012 Semester 1INTEGRATION: Definite Integrals1CC2053: Calculus 8Definition of a Definite IntegralLet f be a continuous defined on the closed interval a x b, and let 1. 2. 3. 4. a =
Hong Kong Polytechnic University - COMP - 3868
Tutorial 1 (Answers) Introduction to Calculus and Linear AlgebraTutorial 1 Answers Introduction to Calculus and Linear Algebra1. 3. 5. 7. 8. 9. 10. 12. x = 2, y = 1 m = 1, n = 2/3 u = 1.1, v = 0.3 40 mL 50% solution, 60 mL 80% solution. Mix A: 80g, Mix
Hong Kong Polytechnic University - COMP - 3868
Tutorial 1 Introduction to Calculus and Linear AlgebraTutorial 1 Introduction to Calculus and Linear AlgebraSolve Exercises 1 to 6 1. 3. 5.3x - y = 72. 4. 6.4x +3y=262x + 3y = 1 7 m + 12n = - 13 x - 11 y = - 7 y = 0.08 x5m - 3n = 7 0.2u - 0.5v
Hong Kong Polytechnic University - COMP - 3868
Tutorial 2 (Answers) Introduction to Calculus and Linear AlgebraTutorial 2 Answers Introduction to Calculus and Linear Algebra1. 1 0 - 7 3 0 12. 1 0 0 - 5 4 0 1 0 0 0 1 - 2 Infinitely many solutions. x1 = 1 s + 1 , x2 = s for all real no. s. 2 2 x1 =
Hong Kong Polytechnic University - COMP - 3868
Tutorial 1 Introduction to Calculus and Linear AlgebraTutorial 2 Introduction to Calculus and Linear AlgebraUse row operations to change each matrix in Exercises 1 and 2 to reduced form. 1. 1 2 - 1 0 1 3 2.1 1 0 - 3 2 0 0 1 0 0 3 - 6 Solve Exercises
Hong Kong Polytechnic University - COMP - 3868
Tutorial 3 (Answers) Introduction to Calculus and Linear AlgebraTutorial 3 Answers Introduction to Calculus and Linear Algebra6 8 -3 12 10 - 18 4 6 24 1. 2 - 0. 2 2. 6 - 0. 6 - 0. 2 2. 2 Not defined 5 4 0 - 31 61 -3 -2 26 -2 - 11 -7 10 15 3 4 1.2.3.
Hong Kong Polytechnic University - COMP - 3868
Tutorial 3 Introduction to Calculus and Linear AlgebraTutorial 3 Introduction to Calculus and Linear AlgebraGiven the following matrices: 2 A= 0-13 - 3 B= 4 - 2 20 -1 1 C = 4 -3 5 - 2 3 2 3 - 2 1 D = 0 - 1 1 5 2 Perform the indicated operations, i
Hong Kong Polytechnic University - COMP - 3868
Tutorial 4 (Answers) Introduction to Calculus and Linear AlgebraTutorial 4 Answers Introduction to Calculus and Linear Algebra1.3. 5. 1 0 - 3 - 2 0 - 1 - 1 - 9 1 - 7 - 5 - 1 - 1 - 1 - 1 - 1 0 2. 4. Does not Exists - 5 - 2 1 26.( A) ( B)x1 = -20, x2
Hong Kong Polytechnic University - COMP - 3868
Tutorial 4 Introduction to Calculus and Linear AlgebraTutorial 4 Introduction to Calculus and Linear AlgebraIn Exercises 1 to 6, given A, find A1, if it exists. You may try row operations or determinant and cofactor approaches. Check each inverse by sho
Hong Kong Polytechnic University - COMP - 3868
Tutorial 5 (Answers) Introduction to Calculus and Linear AlgebraTutorial 5 Answers Introduction to Calculus and Linear Algebra1. 2. 3. 4. 5. 6. 2 7 5/3 5 1/3 (i) Yes (ii) No (iii) No (i) 1 (ii) 4 (iii) No A=37.8.Page 1 of 1
Hong Kong Polytechnic University - COMP - 3868
Tutorial 5 Introduction to Calculus and Linear AlgebraTutorial 5 Introduction to Calculus and Linear AlgebraIn Exercises 1 to 5, find the indicated limit if it exists. 1. 2. 3. 4. 5. 6.limx 2 -1 x 1 x - 1 x 2 - 3 x - 10 lim x 5 x-5 ( x + 1)( x - 4) li
Hong Kong Polytechnic University - COMP - 3868
Tutorial 6 (Answers) Introduction to Calculus and Linear AlgebraTutorial 6 Answers Introduction to Calculus and Linear Algebra1. 3.f ' ( x) = 5m = 5, y = 5x 32.4. 6. 8.2 m = 8, g=8 8t t2 5. f ' ( x) = 2 x m=2, y = 2x 1 2 7. f ' ( x) = 2 m=2, y = 2x
Hong Kong Polytechnic University - COMP - 3868
Tutorial 6 Introduction to Calculus and Linear AlgebraTutorial 6 Introduction to Calculus and Linear AlgebraIn Exercises 1 to 8, compute the derivative of the given function by first principle and then find the slope and equation of the line that is tan
Hong Kong Polytechnic University - COMP - 3868
Tutorial 7 (Answers) Introduction to Calculus and Linear AlgebraTutorial 7 Answers Introduction to Calculus and Linear Algebra1. 3. 5. 7.9.1 1 f ' ( x ) = 6 x 5 - 12 x 3 + 4 x + 1 + 2 3 x 2 - (t + 2) f ' (t ) = 2 (t - 2) 22. 4. 6. 8.f ' ( x) =-3 (
Hong Kong Polytechnic University - COMP - 3868
Hong Kong Polytechnic University - COMP - 3868
Tutorial 8 (Answers) Introduction to Calculus and Linear AlgebraTutorial 8 Answers Introduction to Calculus and Linear Algebra1. 3. 5. 7. 9.y ' = 6(3 x - 2)- 4x y' = 2 ( x + 1) 3 f ' ( x) = 8(2 x + 1) 3 - 2(5t - 3) f (t ) = (5t 2 - 6t + 2) 2 x = 0; x
Hong Kong Polytechnic University - COMP - 3868
Tutorial 8 Introduction to Calculus and Linear AlgebraTutorial 8 Introduction to Calculus and Linear AlgebraIn Exercises 1 to 8, use the chain rule to compute the derivative and simplify your answer. 1. 3.5. 7.y = u 2 + 1; u = 3 x - 2 1 y = 2 ; u = x2
Hong Kong Polytechnic University - COMP - 3868
Tutorial 9 (Answers) Introduction to Calculus and Linear AlgebraTutorial 9 Answers Introduction to Calculus and Linear Algebra1. 3. 5. 7.f ' ( x) = (6 x 2 + 20 x + 33)e 6 x 3 f ' ( x) = e 3x 2 3x -2 f ' ( x) = ( x + 1)( x - 1)2. 4. 6. 8.f ' ( x ) = -
Hong Kong Polytechnic University - COMP - 3868
Tutorial 9 Introduction to Calculus and Linear AlgebraTutorial 9 Introduction to Calculus and Linear AlgebraIn Exercises 1 to 8, differentiate the given function. 1. 3. 5. 7.f ( x) = ( x 2 + 3 x + 5)e 6 x2. 4. 6. 8.f ( x) = (1 - 3e x ) 2 f ( x) = x 2
Hong Kong Polytechnic University - COMP - 3868
Hong Kong Polytechnic University - COMP - 3868
Tutorial 10 Introduction to Calculus and Linear AlgebraTutorial 10 Introduction to Calculus and Linear AlgebraIn Exercises 1 to 8, determine the critical numbers of the given function f and classify each critical point as a relative maximum, a relative
Hong Kong Polytechnic University - COMP - 3868
Tutorial 11 (Answers) Introduction to Calculus and Linear AlgebraTutorial 11 Answers Introduction to Calculus and Linear Algebra1. Increasing for x < 3 and x > 3; decreasing for 3 < x < 3; concave upward for x > 0; concave downward for x < 0; max. at (3
Hong Kong Polytechnic University - COMP - 3868
Tutorial 11 Introduction to Calculus and Linear AlgebraTutorial 11 Introduction to Calculus and Linear AlgebraIn Exercises 1 to 7, determine where the given function is increasing and decreasing, and where its graph is concave up and concave down. Find
Hong Kong Polytechnic University - COMP - 3868
Tutorial 12 (Answers) Introduction to Calculus and Linear AlgebraTutorial 12 Answers Introduction to Calculus and Linear Algebra2 y 2 / 3 + y -2 + Ce x 2 5/ 2 + e +C 2 5 1 4. x + ln x 2 - + C x 2 7 / 2 2 3/ 2 t - t +C 6. 7 3 1 8. ln y - 10 y - 2e - y /
Hong Kong Polytechnic University - COMP - 3868
Tutorial 12 Introduction to Calculus and Linear AlgebraTutorial 12 Introduction to Calculus and Linear AlgebraIn Exercises 1 to 20, find the indicated integral. Check your answers by differentiation. 1.3. 5. 7. 9. 11. 13. 15. 17.-3 (3 y - 2 y )dy2.4
Hong Kong Polytechnic University - COMP - 3868
Tutorial 13 (Answers) Introduction to Calculus and Linear AlgebraTutorial 13 Answers Introduction to Calculus and Linear Algebra1.3. 5. 7.1.952/9 7/6 8/32.4. 6. 8.8 + ln 3 3.7653 3 3.2 e e3 - e 29. 33/5 11. 112/9 12. 13. 14. 15. Area = 1 Area = 4
Hong Kong Polytechnic University - COMP - 3868
Tutorial 13 Introduction to Calculus and Linear AlgebraTutorial 13 Introduction to Calculus and Linear AlgebraIn Exercises 1 to 8, find the indicated integral. 1.3.5. 7. (x014+ 3 x 3 + 1)dx2.4. 6. 8. 1 + x + x 1311 dx 2 -1-3 1t +1 dt t3
Rutgers - PHIL - 201
eHandout Business & Professional Ethics Lecture v.2 1 Lecture 1 Welcome and Introduction to the Course Welcome to Business & Professional Ethics (the e-course)! This is the sister course to the in-class version that I teach at the Rutgers-Newar
Rutgers - PHIL - 201
eHandout Business & Professional Ethics Lecture v.2 2 This Lecture Focuses on "The Three Myths" of Business and Business Ethics, and Sketches Three Ethical Theories (Utilitarianism, Deontology and Virtue Ethics) Before we discuss ethical theorie
Rutgers - PHIL - 201
eHandout Business & Professional Ethics Lecture v.2 3 This Lecture Discusses the Footprint of Large Corporations on Society and Considers Issues Connected with WhistleBlowing Corporations, especially large ones, leave a large footprint on socie
Rutgers - PHIL - 201
eHandout Business & Professional Ethics Lecture 4 v.2 This Lecture Discusses Issues Surrounding Trade Secrets, Conflicts of Interest and Confidentiality Businesses have possession of information or knowledge that is proprietary and critical to
Rutgers - PHIL - 201
eHandout Business & Professional Ethics Lecture 5 This lecture will address issues surrounding privacy, privacy rights and privacy in the workplace What is privacy? Why do we speak of a "right" to privacy? Why is privacy so important? Answers to
Rutgers - PHIL - 201
e-HandoutBusiness & Professional EthicsLecture7This Lecture Discusses Issues of Employment and Employee RightsTo recap some things expressed in the last lecture, the need for employment is a critical one. Obviously, without it we lack the ability to
Rutgers - PHIL - 201
No. 1 eHandout Business & Professional Ethics On Ethical Theories Your text for this course will go over various ethical theories. You should familiarize yourself with these theories, as they will help you think about the ethical dilemmas and issue
Rutgers - PHIL - 201
No. 2 eHandout Business & Professional Ethics On Privacy Rights What follows is a review of the book The Unwanted Gaze: The Destruction of Privacy in America, by Jeffrey Rosen (Random House, 2000). The reviewer is Vince Juliano. -Suppose the items
Rutgers - PHIL - 201
No. 3 eHandout Business & Professional Ethics On Virtue Ethics What follows was prepared by Dr. Jan Garrett (Western Kentucky UniversityRetired). A summary of a number of topics in normative ethics may be found at Dr. Garrett's site: http:/www.wku.
Rutgers - PHIL - 201
No. 4 eHandout Business & Professional Ethics On The Golden Rule (Ethics of Reciprocity) What follows was prepared by Dr. Jan Garrett (Western Kentucky University-Retired). A summary of a number of topics in normative ethics may be found at Dr. Gar
Rutgers - PHIL - 201
No. 5 eHandout Business & Professional Ethics Metaphors and Morality I have admired George Lakoff's work for several years. Not only is it a way to help explain the political differences between groups (liberals and conservatives, in particular), b
Rutgers - PHIL - 201
No. 6 eHandout Business & Professional Ethics The Ingredients of Ethical Decisions: Applied Ethics Which of These Imperatives Matters Most? Nature (Phusis) Rights (See "Nature") God/Ultimate Power (See Nature, Rights)Rules & Duties (Deontology
Rutgers - PHIL - 201
No. 8 eHandout Business & Professional Ethics Drucker and Others on American Business Read and consider the questions that follow each quote. PETER F. DRUCKER: "Asked what a business is, the typical businessman is likely to answer, "An organization
Rutgers - PHIL - 201
No. 10 eHandout Business & Professional Ethics Autistic Economics translation of the original students' petition circulated in Francehttp:/www.paecon.net/PAEtexts/a-e-petition.htm 9/9/2005 Open letter from economics students to professors and oth
Rutgers - PHIL - 201
No. 12 eHandout Business & Professional Ethics Employer Eavesdropping Legal or Not? APRIL 23, 2009Employers Watching Workers Online Spurs Privacy DebateBy DIONNE SEARCEYBy now, many employees are uncomfortably aware that their every keystroke a
Rutgers - PHIL - 201
No. 13 eHandout Business & Professional Ethics From Papal Encyclical Caritas in veritate (June 29, 2009) 40. Today's international economic scene, marked by grave deviations and failures, requires a profoundly new way of understanding business ent
Rutgers - PHIL - 201
No. 14e-HandoutBusiness & Professional EthicsThree Myths of BusinessMyth One: "Business Ethics" is an Oxymoron Business is part of human culture and society. As such, it is obliged to follow norms of conduct. The idea that "Business Ethics" is an oxym
Rutgers - PHIL - 201
No. 16e-HandoutBusiness & Professional EthicsThe Old Onion Seller vs. The "Rationality" of Modern (Western) Economic ThoughtIn a shady corner of the great market at Mexico City, was an old Indian named Pota-lamo. He had twenty strings of onions hangin
Rutgers - ECON - 101
Foundations of Microeconomics, 5e (Bade/Parkin) Chapter 2 The U.S. and Global Economies 2.1 What, How, and For Whom? 1) Items that are purchased by individuals for their own enjoyment are called A) consumption goods and services. B) capital goods. C) gove
Rutgers - MIS - 101
1) SELECT course_name, department, num_credits FROM courses; 2) SELECT student_name, city, state FROM students; 3) SELECT* FROM courses; 4) SELECT* FROM teachers; 5) SELECT course_name, department, num_credits FROM courses WHERE num_credits=3; 6) SELECT t
Rutgers - MATH - 119
Review for Exam #1 The exam is on Wednesday, February 29, 2012. Calculators may be used. Questions will reflect the emphasis of examples done in class, and quiz and homework questions. Topics The exam will cover the following sections of the text: Functio
Rutgers - MATH - 119
Basic Calculus/Quiz #2/February 6, 2012SOLUTIONS1. (a) x2 y 6 (b) x2 y 2. y - 1 = 1 (x - 3) 2 3.4 3,-7 34. (a) -6 (b) 3, -1 5. (a) 27 (b) (2, 8), (-2, -8)