Application: Big-O Notation (Q8-11) For each of the time complexities in this segment give the tightest bound in terms of a simple polylogarithmic function using big-O notation. Note: use the ‘^’ symbol to indicate exponents, i.e., write O(n^2) for O(n2). Question 8 (Big-O Notation 1) T(n) = n2+ log n + n Question 9 (Big-O Notation 2) T(n) = n/3 + 4 log n + 2n log(n) Question 10 (Big-O Notation 3) T(n) = 7n5 + 2n Question 11 (Big-O Notation 4) T(n) = (n%5) + 12,000
Application: Big-O Notation (Q8-11) For each of the time complexities in this segment give the tightest bound in terms of a simple polylogarithmic function using big-O notation. Note: use the ‘^’ symbol to indicate exponents, i.e., write O(n^2) for O(n2). Question 8 (Big-O Notation 1) T(n) = n2+ log n + n Question 9 (Big-O Notation 2) T(n) = n/3 + 4 log n + 2n log(n) Question 10 (Big-O Notation 3) T(n) = 7n5 + 2n Question 11 (Big-O Notation 4) T(n) = (n%5) + 12,000
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Application: Big-O Notation (Q8-11)
For each of the time complexities in this segment give the tightest bound in terms of a simple polylogarithmic function using big-O notation.
Note: use the ‘^’ symbol to indicate exponents, i.e., write O(n^2) for O(n2).
Question 8 (Big-O Notation 1)
T(n) = n2+ log n + n
Question 9 (Big-O Notation 2)
T(n) = n/3 + 4 log n + 2n log(n)
Question 10 (Big-O Notation 3)
T(n) = 7n5 + 2n
Question 11 (Big-O Notation 4)
T(n) = (n%5) + 12,000
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