For the following, decide whether T(n) = θ(f(n)), T(n) = Ω(f(n)), T(n) = O(f(n)), or none of the above. Show your work. (a) T(n) = n3 +200n+500, f(n) = 1000n2 +500nlogn (b) T(n) = (2n+a)b, f(n) = (3n+b)b (c) T(n) = 2logn, f(n) = n2 (d) T(n) = n4/3, f(n) = n(logn)3

Analyzing the Relationships Between T(n) and f(n)Case (a): T(n) = n^3 + 200n + 500, f(n) = 1000n^2 +…

Answered: For the following, decide whether T(n)…

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For the following, decide whether T(n) = θ(f(n)), T(n) = Ω(f(n)), T(n) = O(f(n)), or none
of the above. Show your work.
(a) T(n) = n³ +200n+500, f(n) = 1000n² +500nlogn
(b) T(n) = (2n+a)^b, f(n) = (3n+b)^b
(c) T(n) = 2^logn, f(n) = n²
(d) T(n) = n^4/3, f(n) = n(logn)³

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