Give the order of the following functions,

\(\displaystyle 1. Ta(n) = 20^2 + (n + 4)^3\)

\(\displaystyle 2. Tb(n) = (6n + 4)^2 + 3nlog2(n)\)

\(\displaystyle 3. Tc(n) = (7n + 1)^2log10(n)\)

I got the following orders:-

\(\displaystyle 1. \theta(n^2)\)

\(\displaystyle 2. \theta(n log n)\)

\(\displaystyle 3. \theta(log n)\)

Item 3 is the most effecient for very large values of n.