Ive the following inequality. (x-8)(x-2)(x+4)<=0 Trite your answer as an interval or there is no real solution, click on
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Ive the following inequality. (x-8)(x-2)(x+4)<=0 Trite your answer as an interval or there is no real solution, click on
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- Solve the following exercisePlease solve a,b, c, and d.). A sequence of numbers are defined by the following initial condition and recurrence relation, do = 2 an 2a,-1+3, for n ≥ 1. Based on the definition, solve the following problems. (2) Using your do and recurrence relation, calculate a₁, 02, and a3. ●01 a₂ a3 =
- 3. Find AB if [2 1 0 4 B: a) A = 3 2 3Problem 3: A day at the beach. A group of n people are lying on the beach. The beach is represented by the real line R and the location of the i-th person is some integer r; e Z. Your task is to prevent people from getting sunburned by covering them with umbrellas. Each umbrella corresponds to a closed interval I = [a, a + L] of length L e N, and the i-th person is covered by that umbrella if æ¡ € I. Design a greedy algorithm for covering all people with the minimum number of umbrellas. The input consists of the integers x1,..., En, and L. The output of your algorithm should be the positions of umbrellas. For example, if the input is r1 = 1, x2 = 3, r3 = 5, and L = 2, then an optimum solution is the set of two umbrellas placed at positions 2 and 5, covering intervals [1,3] and [4,6]. 1 2 3 4 5 6 Prove that your algorithm is correct and that it runs in time polynomial in n.For each of the above functions, determine the class Θ(g(n)) that the function is in. (Use the simplest g(n) function possible.)
- let X = {0, 1}Application of DFA minimization: Choose a DFA minimation problem that is unique. Your DFA to minimize must have at least 5 states, cannot already be minimal, and cannot be a solved problem from any book. You should describe the DFA, the process to minimize it, and the minimized DFA.Find all solutions for the following pair of simultaneous congruences. 5x = 9 (mod 11) 3x = 8 (mod 13)