For each of the statements below, state whether it is true or false and then prove your answer.

(a) 15n 3 log n + 10n 2 + 50 is O(n 3 log n).

(b) 3n 2 − 12n + 2 is Ω(n 3 )

(c) 2n+1 is Θ(2n )

(d) 22n is O(2n )

(e) log(n!) is O(n log n) (Hint: compare n! and n n )

Before you record your own voice, you should a. record other people's voices b. warm up and practice difficult names c. listen to your favorite songs d. read a transcript of a good radio news segment

15: 28read the summary of "an indian's view of indian affairs."15 betterin "an indian's view of indian affairs," it is asserted that conflicts could be reduced if white americansunderstood native americans..pswhich of the following would make this summary more complete? eleo the fact that chief joseph believes the great spirit sees everythinthe fact that chief joseph was born in oregon and is thirty-eight years oldo the fact that chief joseph states that he speaks from the hearthehehethe fact that chief joseph of the nez percé tribe made this claimebell- ==feetle===-felsefe ==submitmark this and retum.=

Which set of steps will organize the data to only show foods with more than 100 calories and rank their sugar content from greatest to least?