Use the function definitions immediately below for the next 3 problems: f(n) = 3n log10 n +5 g(n) = 99999 log, n h(n) = .00001 log3 n+.0000001n² iv f(n) = 0(h(n)) v g(n) = 0(h(n)) vi f(n) = 2(g(n))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please help with each statement is True of False

Use the function definitions immediately below for the next 3 problems:
f(n) = 3n log1, n + 5
g(n) = 99999 log3 n
h(n) = .00001 log3 n + .0000001n²
iv f(n) = 0(h(n))
v g(n) = 0(h(n))
vi f(n) = 2(g(n))
vii An undirected graph on n nodes with at least )/2 edges must be connected.
Transcribed Image Text:Use the function definitions immediately below for the next 3 problems: f(n) = 3n log1, n + 5 g(n) = 99999 log3 n h(n) = .00001 log3 n + .0000001n² iv f(n) = 0(h(n)) v g(n) = 0(h(n)) vi f(n) = 2(g(n)) vii An undirected graph on n nodes with at least )/2 edges must be connected.
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