In this problem it will be useful to recall the following properties of logarithms: log(xy)=log(x)+log(y) and log(xa)=alog(x).
Find the least integer k such that f(n) is O(nk) for each of the following functions:

a. f(n) = 18 + 28 + n8
b. f(n) = log(n!)
c. f(n) = log(nn) / (n9 + 1)

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

6/20

step-by-step explanation:

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation:

80

step-by-step explanation: