ECN601 – Section 003 Syracuse University Fall 2010 Professor Lourenço Paz Math Review 1. Basic algebra and geometry Check out the handouts at : http://www1.maxwell.syr.edu/pa.aspx?id=36507223186 2. Calculus of one variable Let y = axb‚ where a and b are numbers‚ with b different from zero. The derivative of y with respect to x is dy/dx = abxb-1 Examples: y = 2x7‚ dy/dx = 2*7x7-1 = 14x6 y = 5x0.3‚ dy/dx = 5*0.3*x0.3-1 = 1.5x-0.7 Exercises: Calculate dy/dx a) y= 3x2 b) y = 12x0
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= 4 + 4 E(X) + E(X2) = 4+4+6 = 14 b) Var (4+3X) = E [(4+3X) 2] – [E(4+3X)] 2 = E (16+6X+9 X2) – [4+3E(X) ] 2 = 16+6 E(X)+9 E(X2) – 16 - 24 E(X) - 9 [E(X) ] 2 = 16 + 6 +9(6) -16 -24 -9 = 27 4. C (2‚0‚-3‚5‚10) v(0‚1)=1.25 v(1‚2)=1.25 ; v(2‚1) = 1/1.25 = 0.8 v(2‚3)=1+1=2 ; v(3‚2)=1/(1+1)=0.5 v(3‚4)=1+1=2 ; v(4‚3)=1/(1+1)=0.5 The smallest
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The success of Phoenix Satellite Television starts with the accurate positioning. According to research‚ in 2011‚ the coverage of Phoenix Chinese Channel in southern China including Guangdong and Guangxi province enjoyed a dominant position among all the areas in China. Meanwhile‚ administration and enterprise network have become the main channels for people to watch Phoenix TV. More than 65% of people have watched Phoenix Chinese Channel through administration cable network specifically. The number
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obstacles that I might face. Setting goals is its crucial part of completing and achieve them‚ through goal setting that a task can be broken down into smaller manageable parts. When I first started exploring and setting my goals as a University of Phoenix student (UOP)‚ I began to feel overwhelmed and worried about all of the work that is expected from me. I automatically started doubting myself and began constructing obstacles. I believe my personal goals as an UOP student can be achieved
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Math 030 Review for Exam #4 1. Express in terms of i: a. Revised Spring 2010 RH/DM 1 −4 b. − 12 c. −3 d. − 3 • − 12 e. 2i • 5i f. − 7i • 9i 2. Perform the indicated operations: a. (5 − 2i ) − (3 − 7i ) b. (2 + 6i ) + (3 − 7i ) (− 5 + 7i ) + (5 − 2i ) c. (13 + 9i ) − (− 6 + 8i ) d. e. (4 − 5i ) 2 f. (7 − 2i )(7 + 2i ) g. (3 + 4i )(5 + 2i ) h. (2 − 3i )(2 + 3i ) 3. Solve by factoring: a. x 2 − x = 42 b. 2 x 2 − 5
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MATHEMATICS SL INTERNAL ASSESSMENT TYPE 1 LACSAP’S FRACTIONS 10/11/2012 Tracy Braganza IB2T In mathematics‚ Lacsap’s fractions are based upon Pascal’s triangle. In this portfolio‚ the aim that was given was to consider a set of numbers that are presented in a symmetrical pattern‚ deduce a general statement and also to determine the limitations of the general statement that have been found. The answers in this portfolio will be attained with the help of a GDC calculator (GDC – TI84 Plus
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2012. PENALTY MARKS FOR LATE SUBMISSION OF ASSIGNMENT By ONE DAY: 20% to be deducted from your total marks MORE THAN ONE DAY: Your submission will NOT BE ACCEPTED Please submit your CA early. The Blackboard Submission System will be open one week before the deadline. This allows multiple submissions before the deadline. If you have queries that require technical assistance when using the Blackboard Submission System‚ please e-mail bbdms@unisim.edu.sg or contact the helpdesk at 6248 9127. If
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frequency distribution for this data set and then estimate the mean response time. Explain why your answer is only an estimate of the mean of this data set. (5 marks) (b) The numbers of SPAM EMAILS received by 750 DKIT computing students over a one week period‚ were recorded as follows: No of SPAM EMAILS Received | Number of students | less than 5 | 68 | between 5 and 10 | 176 | between 10 and 15 | 244 | between 15 and 20 | 193 | between 20 and 25 | 42 | between 25 and 30
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= 36 (5) ∴4.3x = 36 4 4 ∴3x = 9 1 ∴3x = 32 1 ∴x = 2 1 1.2.2 16-x = 2 1 4(- x) =2 ∴2 (3) ∴ 2-4x = 2 ∴-4x = 1 1 ∴-4x = 1 -4 -4 ∴ x = - 1 (5) (3) [23] (3) (4) - = 53x + 2. 5x - 3. 5 52(2x – 1) 1 = 53x + 2. 5x - 3. 5 54x – 2 1 =5 3x + 2 + x – 3 + 1 – 4x + 2 = 52 1 = 25 1 1.1.2 3x + 3x + 2 3x + 1 = 3x + 3x .32 3x .3 1 = 3x(1 + 32) 3x.3 1 = 10 of/or 3 1 3 __ ___ ___ 1.1.3 4√ 8 + 3√ 18 – √ 32 ____ ____ _____ = 4√4 x 2 + 3√9 x 2 – √16 x 2 1 1_ 1_ 1_ = 8√2 + 9√2 – 4√2 _ = 13√2 Copyright
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Monaco She Phoenix‚ Arizona. My home. You would think with name like a bird of fire it would be inspiring‚ breathtaking even magical. But it isn’t. It’s just another desert city. And I’m just another desert nobody on another desert summer day. He She’s a hurricane. She’s the greatest and most devastating of storms. Even in the bone dry summer‚ she changed my world and brought rain and snow and hail. She rained down on me when I least expected it. Before I could even get my umbrella out‚ she soaked
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