1 or 2 55 55 1 0 0 0 1

    • [PDF File]Math 55: Discrete Mathematics

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      0 = 2 and M n = f n 1 + f n+1 for n 1. Then M 1 = f 0 + f 2 = 1 and M 2 = f 1 + f 3 = 1 + 2 = 3. The two sequences fM ngand fL ngsatisfy the same recurrence, and they satisfy the same initial conditions. Therefore they must be equal. b) The roots of the characteristic polynomial are given by the golden ratio, and we nd L n = 1 + p 5 2 n + 1 p 5 ...

    • [PDF File]PHY2049 Exam #1 Solutions – Fall 2012

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      ∆U =Uf −Ui =q1q2k 1 rf − 1 ri =6.0×10 −5 J 13. In separate experiments, four different particles each start from far away with the same speed and impinge directly on a gold nucleus. The masses and charges of the particles are particle 1: mass m0, charge q0 particle 2: mass 2 m0, charge 2 q0 particle 3: mass 2 m0, charge q0/2

    • [PDF File]Problem Set 1: Sketch of Solutions - Kellogg School of ...

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      2 ' 0.55. Part 2: Without moral hazard, the consumer will be fully insured, so x = y. Perfect competition implies that firms will make 0 profits, so x = y =(1 a)50+ a150 = 50+100a. Part 3: Using the answer from part 2, we solve max a n ln(50+100a)−a2 o It follows from the first order condition that a = 1 2, and so x = 50+100a = 100

    • [PDF File]Chapter 1 Chemical Foundations 1.8 Density

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      1) 0.614 kg Given: D = 0.702 g/mL V= 875 mL Unit plan: mL →g →kg Equalities: density 0.702 g = 1 mL and 1 kg = 1000 g Setup: 875 mL x 0.702 g x 1 kg = 0.614 kg 1 mL 1000 g density metric factor factor

    • [PDF File]Part 1: Probability Distributions

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      (1) The probability of each event or combinations of events must range from 0 to 1. (2) The sum of the probability of all possible events must be equal too 1. continuous probability distribution discrete probability distribution PDF

    • [PDF File]Chapter 10 MULTIPLE CHOICE. Choose the one alternative ...

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      1) A gas at a pressure of 10.0 Pa exerts a force of _____ N on an area of 5.5 m2. A)1.8 B)0.55 C)5.5 D)55 E)18 1) 2) A gas at a pressure of 325 torr exerts a force of _____ N on an area of 5.5 m2. A)0.018 B)2.4 C)2.4 × 105 D)59 E)1.8 × 103 2) 3) A pressure of 1.00 atm is the same as a pressure of _____ of mmHg.

    • [PDF File]14.02 Quiz 1 Solution - Massachusetts Institute of Technology

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      3. Assume that Y 0 = Y-1 is equal to the equilibrium output you found in part 1. At time t = 0, there is a permanent increase in government spending by 10 units (so, now G=30). Solve for Z 0. Solution: At time t = 0, government spending increases.Aggregate demand therefore

    • [PDF File]Multivariate Analysis Homework 1 - Michigan State University

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      1 0 2 1 A 0 @ 1 1 0 3 0 2 1 A = 4 6 6 61 It is clear that X 1 and X 1 + 3X 2 2X 3 are not independent. 4.7. Refer to Exercise 4.6 and specify each of the following. (a)The conditional distribution of X 1, given that X 3 = x 3. (b)The conditional distribution of X 1, given that X 2 = x 2 and X 3 = x 3. Sol. We use the result 4.6 from textbook.

    • [PDF File]Fuzzy Sets ( Type-1 and Type-2) and their Applications

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      6.1 Example[2] • If temperature is high, then humidity is fairly high. It is a fuzzy rule and a fuzzy relation. To determine the membership function of the rule, let T and H be

    • [PDF File]1.10 Numerical Solution to First-Order Differential Equations

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      (a) Setting h = 0.1 in (1.10.2) yields yn+1 = yn +0.1(yn −xn). Hence, y1 = y0 +0.1(y0 −x0) = 0.5+0.1(0.5−0) = 0.55, y2 = y1 +0.1(y1 −x1) = 0.55+0.1(0.55−0.1) = 0.595. Continuing in this manner, we generate the approximations listed in Table 1.10.1, where we have rounded the calculations to six decimal places. nxn yn Exact Solution ...

    • [PDF File](1) Consider a European call option and a European put ...

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      1 5/20/2008 (1) Consider a European call option and a European put option on a nondividend-paying stock. You are given: (i) The current price of the stock is $60. (ii) The call option currently sells for $0.15 more than the put option.

    • EXAMPLE EXERCISE 2.1 Uncertainty in Measurement

      (a) 1.5 cm, 1.6 cm; (b) 0.50 cm, 0.75 cm. Which measurements are consistent with the metric rulers shown in Figure 2.2? (a) Ruler A: 1.5 cm, 1.50 cm, 1.55 cm, 1.6 cm, 2.00 cm (b) Ruler B: 0.5 cm, 0.50 cm, 0.055 cm, 0.75 cm, 0.100 cm. Practice Exercise. Figure 2.2 Metric Rulers for Measuring Length. On Ruler A, each division is 1 cm. On Ruler B ...

    • [PDF File]RGB Color Examples

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      RGB Color Examples 0/0/0 0/0/0.1 0/0/0.2 0/0/0.3 0/0/0.4 0/0/0.5 0/0/0.6 0/0/0.7 0/0/0.8 0/0/0.9. 0/0.9/0.6 0/0.9/0.7 0/0.9/0.8 0/0.9/0.9 0/0.9/1 0/1/0 0/1/0.1 0/1/0 ...

    • 1 )+ ( - MACOM Technology Solutions Holdings, Inc.

      5 ( ! % ! +% % - + !) $ +'# #4 +' !&' " ...

    • [PDF File]Exam MFE/3F Sample Questions and Solutions

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      Buy 2 calls strike 55 6 0 0 0 2(ST – 55) Total 0 erT > 0 erT + S T – 40 > 0 e rT + 2(55 S) > 0 e T > 0 Peter’s portfolio makes arbitrage profit, because: Time-0 cash flow Time-T cash flow Buy 2 calls & sells 2 puts Strike 55 2 3 + 11) = 16 2(ST 55) Buy 1 call & sell 1 put Strike 40 11 + 3 = 8

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