Consider the f-function used in the data encryption standard (des) algorithm. suppose input to this function is the 32-bit input expressed in hexadecimal as "abcd1234", determine the 32-bit output of the function expressed in hexadecimal representation. the 48-bit key to the function is "123456789abc" in hexadecimal.

For each of the following claims, determine whether they are true or false. justify your determination (show your work). if the claim is false, state the correct asymptotic relationship as o, θ, or ω. unless otherwise specified, lg is log2.(a) (b) (c) (d) (e) (f) (g) (h) (i) (j)n+1 =22n =2n =1 =ln2 n =n2 +2n−4 =33n = 2n+1 =√n = 10100 =o(n4) o(2n)θ(2n+7 ) o(1/n)θ(lg2 n) ω(n2 )θ(9n ) θ(2n lg n )o(lg n) θ(1)

Exchanging which type of data uses the least bandwidth? music photographs video voice bandwidth- the amount of data that can be moved between two points in a set time period

Howard is designing a chair swing ride. the swing ropes are 5 meters long, and in full swing they tilt in an angle of 29° outside chairs to be 2.75 m above the ground in full swing.