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76. Arrange the following functions in ascending or- der of growth rate: 4000 log n, 2n2...
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
Arrange the following functions in ascending order of asymptotic growth rate; that is if function g(n) immediately follows function f(n) in your list, then it should be the case that f(n) is O(g(n)): 2 Squareroot log n, 2^n, n^4/3, n(log n)^3, n log n, 2 2^n, 2^n^2. Justify your answer.
Order the following functions by asymptotic growth rate: 4n, 2^log(n), 4nlog(n)+2n, 2^10, 3n+100log(n), 2^n, n^2+10n, n^3, nlog(n) You should state the asymptotic growth rate for each function in terms of Big-Oh and also explicitly order those functions that have the same asymptotic growth rate among themselves.
Order the following functions by growth rate: N, squrerootN, N1.5, N2, NlogN, N log logN, Nlog2N, Nlog(N2), 2/N,2N, 2N/2, 37, N2 logN, N3. Indicate which functions grow at the same rate.
Arrange the following functions in ascending order of growth rate. That is, if function g(n) immediately follows function f(n) in your list, then it should be the case that f(n) -O(gln) fl (n) = n/i f2 (n)- 3" fs (n)-nIg(n') JA (n)- ()+54 More specifically, match the functions f? through fe to the corresponding positions a through f to illustrate the correct asymptotic order: I Choose ] I Choose ] Choose ] Choose ] I Choose ] I Choose ]
16. Order the following functions from lowest to highest 0-class. fs= 4n /n+2n2 - fonlg (n')-lg (n'3) f2- 3n -lg (lg (n)) + n°.5 fs=3n3- 2n2 +4n - 5 f, 31459 + 1.5n lg (n) f=1.2" - 0.8" +2n2
16. Order the following functions from lowest to highest 0-class. fs= 4n /n+2n2 - fonlg (n')-lg (n'3) f2- 3n -lg (lg (n)) + n°.5 fs=3n3- 2n2 +4n - 5 f, 31459 + 1.5n lg (n) f=1.2" - 0.8" +2n2
1. Take the following list of functions and arrange them in ascending order of growth rate. That is, if function g(n) immediately follows function f(n) in your list, then it should be the case that f(n) is (g(n)). fi(n) = 10”, fz(n) = n3, f3(n) =n", fa(n) = log2 n, f5(n) = 2V1082 n
Compare the asymptotic orders of growth of the following
pairs of functions.
log2 n and
.
n (n+1)/2 and n2.
2n and 3n
Arrange the following functions in a list so that each function is big-O of the next function. The function in the end of the list is given. f1(n)=n0.5, f2(n)=1000log(n), f3(n)=nlog(n), f4(n)=2n!, f5(n)=2n, f6(n)=3n, and f7(n)=n2. Please show work
Needs to be explained also, like what method you used to compare
the growth rate. Thank you
4) Order the following functions by growth rate. Indicate which functions grow at the same rate (15 points) N, N2, log N, N log N, log(N2), log2 N, N log2N, 2, 2N, 37, N2 log N, 5logN, N3, 10N log N2