For each complexity function in the left column, choose a simpler function from the list on the right that is in the same O-class. (No proofs required.) The functions in the list on the right can be used more than once. (a) 0.04n + 12/n+ 17,000 n 1 (b) 621og n + п3 +n³ log n n3 4n3 + 3п? (c) 900n log n (а) п! + п^ n³ log n 3n (e) 3" + n³ n! (f) | sin(n)| n2 (n+ 1)2 (g) 10n2 – 2 n4 nn

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(1)
For each complexity function in the left column, choose a simpler function from the list on
the right that is in the same O-class. (No proofs required.) The functions in the list on the
right can be used more than once.
(a) 0.04n + 12vñ + 17,000
1
(b) 62 log n + n³ + n³ log n
n3
4n3 + 3n2
(c)
900n
log n
(d) п! + n^
n³ log n
3n
(e) 3" + n³
n!
(f) |sin(n)|
n2
(n+ 1)²
(g)
10n2 – 2
Transcribed Image Text:(1) For each complexity function in the left column, choose a simpler function from the list on the right that is in the same O-class. (No proofs required.) The functions in the list on the right can be used more than once. (a) 0.04n + 12vñ + 17,000 1 (b) 62 log n + n³ + n³ log n n3 4n3 + 3n2 (c) 900n log n (d) п! + n^ n³ log n 3n (e) 3" + n³ n! (f) |sin(n)| n2 (n+ 1)² (g) 10n2 – 2
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