Let f(n) be a negligible function and k a positive integer. Prove the following: (a) f( p n) is negligible. (b) f(n k ) is negligible. (c) f(n1=k) is negligible.

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?

I’m on question 7 it says a covered water tank is in the shape of a cylinder the tank has a 28 inch diameter and a height of 66 inches to the nearest square inch what is the surface area of the water tank

3x + 4y = 5 x- 3y = -7 solve by substitution