For the given function, please indicate the tightest upper bound using big-O notation. f(n) = 4n2 - 5n %3D
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- Define upper bound. If f(n) = 3n * 5 for what values of C and n this function is said to be upper bounded.Express the following function in sum of minterms and product of maxterms: a) F(A,B,C,D) = B’D + A’D + BD b) F = (AB+C)(B+C’D)Using limit, compare the order of the growth of functions. 1-2n&6n 2-log2n &n3 3-100n3& log2n n2and 4n
- Express each of the following function as a sum of minterms and as a product of maxterms F = x′z + w′xy′ + w(x′y + xy′) F = ACD’ + C’D + AB’ + ABCDGive an example of a function in n that is in O(√n) but not in Ω(√n). Briefly explainPlease written by computer source Calculate the functioon with following recurrence relations a-). sn+1 = n2 + 1, s0 = 1. b-). sn+2 = sn+1 − sn, s0 = 1, s2 = 2.
- Order the following from lowest to highest big O complexity. In other words, the slowest growing functions should be placed first and the fastest growing last. 2N-1 5 N5 9999 600 * N * log(N) N2Show using tableaux that the following wff is valid:(p → q) → (p → (q ∨ r))Asymptotic Growth of Functions List the 5 functions below in non-decreasing asymptotic order of growth: (logn)^2 loglogn n nlogn logn Smallest (1) _____________ (2) _____________ (3) _____________ (4) _____________ (5)_____________ largest
- List the functions below from the lowest order to the highest order of growth. Indicate any that are of the same order. 5n +3 2n 2n*lg(n) 5*lg(n) + 4 n - n2 + 3n4 6√n 2n3 + lg(n) (n2)*lg(5n) 3n3 8n2 2n-1Express the following functions in sum of minterms and product of maxtermsQ5) Let Σ = {0, 1}. Convert the following NFA's to DFA's: