answer is CORRECT. Find the derivative of a) b) c) d) e) Question 4 Your answer is INCORRECT. The graph of f ’ (x) is shown below. Give the interval(s) where the graph of f (x) is increasing. a) b) c) d) e) Question 5 Your answer is INCORRECT. The graph of f ’ (x) is shown below. Give the interval(s) where the graph of f (x) is concave up. a) b) c) d) e) Question 6 Your answer is CORRECT. The graphs of f (x) and g (x) are shown below. Regions I‚
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3 x . ‚ 14% 14% . (drift) . ‚ ‚ 10‚000 100‚000 S dS = µSdt . . . Ito process µ . . σS . dS = µSdt + σSdz dS = µ dt + σ dz S process geometric Brownian motion . 5 1 30% dS = 0.15 dt + 0.30 dz S 1‚000 . Wiener process ∆S = 1000(0.00288 + 0.0416ε ) ‚ . 15% 1 ‚1 0.0192 dz ‚ 1 . 2.88 41.6 6 2. . stochastic process ‚ stochastic . Stochastic chain rule chain rule ITO’S LEMMA F (S t ‚ t ) ‚ . . stochastic Ito’s Lemma . t Ito process
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Comparative Analysis of the Subjects (Filipino & History) and the Performances of Grade 7 Students. Authors: Alison Angeline Shaina D. Balois Ponciano S. Felias III Carissa May R. Pascua Donita C. Peñaranda Gio Mar C. Porto Fourth Year – S.Y 2012-2013 New Buenavista Academy Table of Contents Content Page Title Page . . . . . . . . . . . . . . . . . . . . . . . . Table of Contents . . . . . . . . . . . . . . . . .
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intervals thereafter. The average score S(t)‚ in percent‚ after t months was found to be given by S(t) = 68 - 20 log (t + 1)‚ t ≥ 0. a. What was the average score when they initially took the test‚ t = 0? Round your answer to a whole percent‚ if necessary. S(0)=68-20xlog(0+1) = 68-20x0 = 68% b. What was the average score after 4 months? after 24 months? Round your answers to two decimal places. -S(4) = 68-20xlog(4+1) 68-20x0.699 68-13.98 =54.02 -S(24) = 68-20xlog(24+1) = 40.04 68-20x1
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a department store chain‚ which has many credit customers and want to find out more information about these customers. AJ Davis has complied a sample of 50 credit customers with data selected in the following variables: Location‚ Income (in $1‚000’s)‚ Size (Number of people living in the household)‚ Years (number of years the customer has lived in the current location)‚ and Credit Balance (customers current credit card balance on the store’s credit car‚ in $). The manager at AJ Davis has speculated
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2008 H I G H E R S C H O O L C E R T I F I C AT E E X A M I N AT I O N Mathematics General Instructions • Reading time – 5 minutes • Working time – 3 hours • Write using black or blue pen • Board-approved calculators may be used • A table of standard integrals is provided at the back of this paper • All necessary working should be shown in every question Total marks – 120 • Attempt Questions 1–10 • All questions are of equal value 212 BLANK PAGE – 2 – Total marks – 120
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Linear algebra ‖x‖the norm (or modulus) of x OA→OA / vector OA OA¯ OA / the length of the segment OA AT A transpose / the transpose of A A−1 A inverse / the inverse of A 5. Functions f(x) fx / f of x / the function f of x f:S→T a function f from S to T x→y x maps to y / x is sent (or mapped) to y f’(x) f prime x / f dash x / the (first) derivative of f with respect to x f”(x) f double-prime x / f double-dash x / the second derivative of f
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will be needed‚ but it is clear that students will need to know how to reason mathematically and apply mathematical thinking to a wide range of situations (Reys‚ R. E.‚ Lindquist‚ M. M.‚ Lambdin‚ D. V.‚ Smith‚ N. L.‚ Rogers‚ A.‚ Falle‚ J.‚ Frid‚ S.‚ Bennett‚ S. (2012). Helping Children Learn Mathematics (1st Australian ed.). Milton‚ Queensland: John Wiley & Sons Australia‚ Ltd). Teachers should foster a positive mathematical relationship in their classroom‚ show persistence‚ flexibility‚ relevance
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More Acclaim for How to Learn a Foreign Language the handbook used by schools‚ universities‚ and independent language-learners throughout the world: Don’t miss this little book! It is unusual in that it treats languages as respectable and serious study but also fun. It addresses common fears‚ and deals with the attitudes that have made Americans increasingly monolingual. It is packed with advice on how to learn a foreign language…Excellent‚ simple‚ with summaries at the end of each chapter…I
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Certain Cash Contributions for Typhoon Haiyan Relief Efforts in the Philippines Can Be Deducted on Your 2013 Tax Return A new law allows you to choose to deduct certain charitable contributions of money on your 2013 tax return instead of your 2014 return. The contributions must have been made after March 25‚ 2014‚ and before April 15‚ 2014‚ for the relief of victims in the Republic of the Philippines affected by the November 8‚ 2013‚ typhoon. Contributions of money include contributions made
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