Question

Understand the complexity of algorithms. Find the c and N for the function g so that...

Understand the complexity of algorithms.

Find the c and N for the function g so that f(n) = O(g(n)).

1) f(n) = 4n2 + 3n + 6, g(n) = n2

2) f(n) = 3n2 + 2n + 8, g(n) = n3

3) f(n) = n2 + 4n, g(n) = n2

4) f(n) = 1000 n + 2000, g(n) = n

5) f(n) = 1000 n + 2000, g(n) = n2

6) f(n) = 1000 n + 2000, g(n) = n​​​​​​​3

7) f(n) = 10 n3 + 2 n2 + 5 n, g(n) = n3

8) f(n) = n3 + 6n + 54, g(n) = n3

9) f(n) = 1000 n2 + 2000 n, g(n) = n3

10) f(n) = 1000 n2 + 2000, g(n) = n3

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