Math 32B‚ Lecture 2 Fall 2010 Practice Problems for Final (sections 17.6-17.9 1. (0 points) (a) Let C be a simple closed piecewise-smooth space curve which lies entirely in a plane‚ and suppose that the plane has upward-pointing unit normal vector given by n = ai + bj + ck. Show that the area of the portion of the plane enclosed by C is 1 2 C (bz − cy) dx + (cx − az) dy + (ay − bx) dz. (b) Let C be a simple closed smooth curve in the plane 2x + 2y + z = 2‚ oriented counter-clockwise
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MATHEMATICS Introduction The mark scheme normally provides the most popular solution to each question. Other solutions given by candidates are evaluated and credit given as appropriate; these alternative methods are not usually illustrated in the published mark scheme. The solution to a question gains marks for correct method and marks for accurate working based on this method. The marks awarded for each question are shown in the right hand column and they are prefixed by the letters M‚ A and MA as appropriate
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This reaction foreshadows the generation gap that makes it difficult for him to communicate with the teenagers in his class. Furthermore‚ when he says‚ “The wisdom of the students/ hadn’t altered‚ though‚” (lines 9-10) we see that he respects the ability of the students; he just questions their motivations for learning. Wayman uses a series of metaphors like “The Vaccination Theory of Education‚” and‚ “The Dipstick Theory‚” to show how students learn in different ways. The tone of the lyric poem if
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Compare the two texts‚ commenting on they ways in which they reflect differences and similarities in Talk in Life and Talk in Literature. In your answer you must explore the relationship between context‚ audience and purpose and the ways in which speakers’ attitudes and values are conveyed. Text A is an extract from Educating Rita‚ a play by Willy Russell‚ which immediately highlights the fact that this text is crafted speech‚ meaning it will show a lack of spontaneous utterances‚ as Russell will
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Surname Centre No. Candidate No. Paper Reference(s) Initial(s) Paper Reference Signature 6 6 6 7 6667/01 0 1 Examiner’s use only Edexcel GCE Further Pure Mathematics FP1 Advanced/Advanced Subsidiary Tuesday 22 June 2010 – Afternoon Time: 1 hour 30 minutes Team Leader’s use only Question Leave Number Blank 1 2 3 4 Materials required for examination Mathematical Formulae (Pink) Items included with question papers Nil 5 6 7 8 9 Candidates may use any calculator
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the curve y = x2– 4x -32 at which tangent is parallel to x-axis. 8. Find a‚ for which f(x) = a(x+sinx)+a is increasing . 9. The side of a square is increasing at 4 cm/minute. At what rate is the area increasing when the side is 8 cm long? 10. Find the point on the curve y =x2-7x+12‚ where the tangent is parallel to x-axis. 11. Find the intevals in which the function f(x) = 2log(x-2) - x2 + 4x + 1is increasing or decreasing. 12. Find the intervals in which the function f ( x ) =
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CARIBBEAN EXAMINATIONS COUNCIL INFORMATION TECHNOLOGY General Proficiency PAPER 02 2 Hours DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO SECTION 1: HARDWARE AND SOFTWARE Answer ALL questions 1. Computers are made up of different components and the names of the components are often written as acronyms. Write the meaning of EACH of the following computer acronyms and state ONE task that is performed by EACH of the components. a) CU b) ALU c) RAM d) ROM (8 marks) Total 8 marks
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Foundations & Pre-Calculus Mathematics 10 – 7.4 7.4 – USING A SUBSTITUTION STRATEGY TO SOLVE A LINEAR SYSTEM Focus: Use the substitution of one variable to solve a linear system. In the previous two classes‚ we solved linear system by graphing. A major shortcoming of this method is that at times we will only get an approximate solution‚ even if graphing technology is used. We can use algebra to determine exact solutions to linear systems. One algebraic strategy is solving by substitution
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week three I discussed the 8th grade math curriculum. All eight graders in the state of North Carolina are expected to follow the same standard course of study in the same order. My district adopted a new middle school math program. Some schools in the district continued to follow the curriculum as required by the state and embed practices and activities from this new math program within the lessons. Other schools‚ like my middle school‚ elected to followed the math program as it was written which
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Question 1 1. Discuss which type of recruitment method is best suited the communicative organization. Be sure to include your rationale in your answer. Press Tab to enter the content editor. For the toolbar‚ press ALT+F10 (PC) or ALT+FN+F10 (Mac). Path: p Words:0 10 points Question 2 1. In structuration theory‚ every individual through his own actions possesses a degree of
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