PART $1$: Prove

f

$($

n

$)$

$=$

$5$

n

y

$+$

n

$2$

$+$

$5$

f$($n$)=5$n

y

$+$n

$2$

$+5$ is

O

$($

n

y

l

o

g

n

$)$

O$($n

y

logn$)$ via definition of Big$-0.$ Where the base of your log is y$.$