$.$ Find the order of the following function and show it in Big$-$O notation:

a$)$

f $($n$)200$n n $560$n logn

$232$

$=++$

b$)$

$2$

$232$

$200560$ log $()$

n

n n n n

f n

$++$

$=$

c$)$

n

n n n n

f n

$200560$ log $()$

$232$

$++$

$=$

d$)$

$3$

$232$

$200560$ log $()$

n

n n n n