Consider the following recursive relationship defining the running time of sn tExercise 2:TA(1) = 0(n) = 3 TA G) + 3. c.n%3DUse the telescoping method to derive a closed form formula for T, (n)

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Answered: Consider the following recursive…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(9) csc q-2 =0 Find q, 0
2 A2. b. Given the two generating functions f(x) and g(x) 1 -find the (1-x)2 (1-x)2 generating function for f(x) + g(x)? (2.5 marks)
(8) Find the value of c guaranteed by the Mean Value Theorem for f(x) [3, 5]. (A) 1+ 2√2 (B) 2√2 (C)1-2√2 For Questions 9-10, consider a particle whose motion is represented by the position function s(t) = t²-t, t≥ 0, where s is in feet and t is in seconds. (9) The particle moves forward when (A) t > 2 (B)t>1 (D) 3 (A) s(2) — s(0) = 2 ft. (C) s(2) s() = 2/1/1 2²/1 (10) The distance traveled by the particle in the first two seconds 1 (C)t> (C)t> ½ (D) It always moves backward. 2 on the interval (B) |s(2) — s( ½|+|s() - s(0)| = 2/2 + 1/2 = 2/1/2 (D) cannot be determined
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14 2.6
The force of interest 8(t) at any time t, measured in years, is given by: (0.02 +0.003t2² (0.4 -0.02t for 0 6 8(t) = {0.02 (i) Derive, and simplify as far as possible, expressions in terms of t for the present value of a unit investment made at time t. You should derive separate expressions for sub- intervals 0 6. (ii) Hence, calculate the accumulated value at time t = 12 of £500 due for payment at time t = 4. (iii) Calculate the constant annual nominal rate of interest convertible quarterly implied by the transaction in part (ii).
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Consider the following recursive relationship defining the running time of t TA(1) = 0 TA(n) 3 TA) + 3.c.n Jse the telescoping method to derive a closed form formula for T.(n)