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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straight lines because curved line could not be drawn in the wet clay. They used these tablets to aid in the calculations of problems. They studied math with the help of these tablets. They studied in mathematics because having a peaceful nation they had no need to specialize in military and warfare‚ so they learned math and discovered new forms of math. A tribe known as the Kassites began to attack Babylonia when Hammurabi’s son ruled the empire. Over the centuries‚ the Kassites weakened Babylonia
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depend on the order that ingredients are placed on the pizza. For example‚ putting on pepperoni‚ then sausage‚ then bacon is different than putting on bacon‚ then pepperoni‚ then sausage. Show how you determined your list. Investigation: (Adapted from www.omegamath.com) Example 1: Suppose you work at a music store and have four CDs you wish to arrange from left to right on a display shelf. The four CDs are hip-hop‚ country‚ rock‚ and alternative (shorthand: H‚ C‚ R‚ A). How
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MATH AND MUSIC MATH AND MUSIC Math and Music Math and music are connected in many ways. Math is seen to be as very precise. Music is often seen as a way to express emotion. They are actually both very closely related together. Music is an expression of scales and notes that are strung together to make sound. Math is the subject of numbers and symbols used to write formulas and equations. At its foundation‚ music and math are related. In this essay‚ you will show that math and music
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Centre Number Candidate Number General Certificate of Secondary Education 2013 Mathematics Unit T4 (With calculator) Higher Tier *GMT31* [GMT41] *GMT41* TUESDAY 11 JUNE‚ 9.15 am – 11.15 am TIME 2 hours. INSTRUCTIONS TO CANDIDATES Write your Centre Number and Candidate Number in the spaces provided at the top of this page. You must answer the questions in the spaces provided. Do not write outside the box‚ around each page‚ on blank pages or tracing paper. Complete
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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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Ben Groesbeck Stearns Intro to Criminal Justice October 2‚ 2011 Arson and Fire Investigation What is arson and fire investigation? Arson and fire investigations are conducted to find out whom or what was responsible for creating a fire. It is critical that we know why a fire was created so you can prevent it from ever happening again and also to determine what accelerants were used if any. In this paper I will go into depth on what it takes to become an arson or fire investigator. How do
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This force of agents was later named the Bureau of Investigations by
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