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:

f(n) = 18 + 28 + � + n8

f(n) = log(n!)

f(n) = log(nn) / (n9 + 1)

2-3 6. use your equation to find how high tyler will have to climb to scale the peak. (4 points: 2 points for correctly substituting values, 2 points for the correct height)

The table below shows the height of a ball  x  seconds after being kicked.  what values, rounded to the nearest whole number, complete the quadratic regression equation that models the data? f(x)  =  x2  +  x  +  0based on the regression equation and rounded to the nearest whole number, what is the estimated height after 0.25 seconds?   feet

The width of a rectangle is 20 units. can the perimeter p of the rectangle be 64 units when its length x is 11 units? no, because p = 2x + 2(20) no, because p ≠ 2x + 2(20) yes, because p ≠ 2x + 2(20) yes, because p = 2x + 2(20)