Check all the statements that are true:

A) The exponential function is the fastest growing of all functions, i. e. every function f is big-O of exec.
B) If p and q are polynomials, then p is big-O of q exactly if the degree of p is less than or equal the degree of q.
C) If f and g are both big-O of h, then so is their sum.
D) If f and g are both big-O of h, then so is their product.
E) If f and g are both of order h, then their sum is of order h as well.
F) If f is of order g, so is 10f.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

What is the geometric mean of 3 and 7? a) square root of 21 b) 2 square root of 6 c) 2 square root of 7 d) 21

Emmanuel added 888 links per minute to his chain mail. allesia started 202020 minutes after emmanuel and added 131313 links per minute to her chain mail. how long had emmanuel worked when allesia caught up to him, and how many links had he added?