O(2N) <
O(N2)
a. True
b. False
O(log(log(N))) < O(log(N)) a. True b. False O(N ) < O(log(N)) a. True b. False O(...
Which of the following could be false? A. n2/(log(n)) = O(n2). B. (log n)1000 = O(n1//1000). C. 1/n = O(1/(log(n))). D. 2(log(n))^2 = O(n2). E. None of the above.
Order the following functions by asymptotic growth rate. 2n log n + 2n, 210, 2 log n, 3n + 100 log n, 4n, 2n, n2 + 10n, n3, n log n2
1) True or false? a. n2 = O(n3) b. 2n2 + 1 = O(n2) c. n1/2 = O(log n) d. log n = O(n1/2 ) e. log n + n1/2 = O(n2) f. log n = O( n-1/2) g. log n = O( 1/n ) h. log (n + 3) = q(n1/2) i. n + n1/2= W( n2 - n )
QUESTION 4 Tell whether the following function is O(NZ): f(N) = N * log(N) O True O False QUESTION 5 Tell whether the following function is O(N2): f(N) = 0.5n4 O True O False
Given the following statements, mark those correct statements as True and mark those incorrect statements as False. n^2 = O (7n^2 + 3 log n +22) True False 2^n = O (n^3 + 3 n^2 + 7 log n + 2) True False 5n + 3 log n + 1 = O (n log n) True False 7n log n + 3n = O (11 n + 5 log n + 7) True False 2n^2 + 3 n log n...
nlog(n) = O(nlog(log(n)) True or False and explain why
76. Arrange the following functions in ascending or- der of growth rate: 4000 log n, 2n2 + 13n - 8, 1,036, 3n log n, 2" - n2, 2n! - n, n2 – 4n.
log = log, a logy O True False
Determine whether each of the following statements is true or false. In each case, answer true or false, and justify your answer. 3n^2 - 42 = O(n^2) n^2 = O(n log n) 1/n = O(1) n^n = ohm(2^n)
Here are some common orders of growth, ranked from no growth to fastest growth: Θ(1) — constant time takes the same amount of time regardless of input size Θ(log n) — logarithmic time Θ(n) — linear time Θ(n log n) — linearithmic time Θ(n2 ) — quadratic time Θ(n3 ), etc. — polynomial time Θ(2n), Θ(3n), etc. — exponential time (considered “intractable”; these are really, really horrible) In addition, some programs will never terminate if they get stuck in an...