For the following recurrence relation: express T(n) using the e-notation. T(n) = if n = 1 {2T(n- 2T(n-1)+c, if n > 1,
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- Exercise 4 Given the following recurrence relationT(1) = −1 T(2) = 7 T(n) = −4T(n − 1) − 3T(n − 2) for n ≥ 3 Indicate a methodology you can use to evaluate the closed form expression Provide the closed form expression and show the procedure to obtain itConsider following recurrence relation. What will be the number next in series in place of question mark? 0, 3, 8, 15, 24, 35, 48, ?Could you tell a step by step procedure of finding a super key for A relation R(A,B,C,D, E) having FD's AB → D, AC → E, BC → D, D → A, and E → B?
- Convert the following relation to 2NF, and then to 3NF. Show both conversions. (h, n, c, a, f, k, p, r, g, i, m, b, o, d, j, l, s, e) Functional Dependencies: p → j m, b → l h → g n → p n → o c → i n → j p → o h → d s → e a → rNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Let an be the number of bit strings of length n that do not contain three consecutive 0s. Identify the initial conditions for the recurrence relation in the previous question. (You must provide an answer before moving to the next part.) a0 = 1, a1 = 2, and a2 = 4 a0 = 1, a1 = 2, and a2 = 3 a0 = 2, a1 = 1, and a2 = 4 a0 = 2, a1 = 1, and a2 = 3give a recurrence relation that describes the sequence, answer both boxes.
- The p operation eliminates duplicate tuples in the resulting relation. So: p Gender, Salary (EMPLOYEE); If several female employees have salary SEK30.000; only a single tuple would have been retrieved.recurrence relation recurrence relationrecurrence relationFor each of the following pairs of expressions, give instances of relations thatshow the expressions are not equivalent. ΠA(r − s) and ΠA(r) − ΠA(s).
- 36. In a relation a. Ordering of rows is immaterial b. No two rows are identical c. a and b both are true d. None of theseDevelop recurrence relations for the last 3 columns of table 1. Use the recurrence relation you developed to complete the table for these months: • Month 59 • Month 60 • Month 61 • Month119 • Month 120 • Month 121 Show your calculations and completed table.Consider the following parameters of a relation r (A, B, C) in which A be the primary key. nr = 20000 V (B, r) = 120 max (C, r) = 500 min (C, r) = 0 Estimate the size of the following selection operations. a)σ A = k (r) b)σ A = k1 ∨ B = k2 (r) c)σ C >= Z ∧ C <= 105 (r)
