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just need help simplifying them. no need to order them thank you!!!! For each function f below, give the simplest function such that lie (9)

image text in transcribedjust need help simplifying them. no need to order them thank you!!!!

For each function f below, give the simplest function such that lie (9) and then order the functions asymptotically, i.e., produce an order f1. 12. ... such that SE (+1). If two functions were in the same e(9), then group them together in the order. Think about how you might apply the properties in the previous problem here. (a) Sa(n) = 220-1 (k) fi(n)=2 +1 (b) f(n) = log2 (5n) x logg(4n) (1) fe(n) = Vn? + 3n +1 (e) fan) = 100100 (m) fm(n) = (i+1) (d) Sc(n) = n log2 (4") (n) Sn(n) = 2n logg(n) (e) fe(n) = 20.5 + 0,04 (o) f.(n) = 4log (1) / (n) = log2 (on x 4n) (P) fp(n) = n29 () , (n) = 5n log10 (n - 4) (4) L (n) = log2 (nl) (h) f(n) = 1,20 (1) fr(n) = (3) (i) (n) = 2log (n) + V3n (s) f.(n) = 6) S;(n) = 45 (t) f(n) = (log, n) logan

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