Question $1.[30$ pts$]$

Decide if each of the following statements is True or False and provide suitable proof. For a true

statement, you need to identify the values for the constants c and n$0$ as used in the definitions of Big$-$O

$(),$ Big$-$Omega $()$ and Big$-$Theta $(),$ then show the corresponding inequalities. For a false

statement, you need to justify$/$prove why finding those constants is impossible.

$1.[10$ pts$]3$n$^2"+5$nlog n is O$($n$^2")$