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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