The Euler totient function is defined as ϕ (m) = |{k : 1 ≤ k ≤ m gcd(k, m) = 1}|, or rather the number of relatively prime positive integers smaller than or equal to m. The Task is to conclude if : X = z1p1,z2p2 , ........., zkPk THEN, ϕ(x) = x (1 - 1/p1), (1 - 1/p2),....., (1 - 1/P)

Q: Let X denote the amount of time for which a book on a 2-hour reserve at a college library is checked…

A: As per our guidelines I can solve only first three subparts. Kindly post the remaining subpart again…

Q: What does is mean for two functions f(x) and g(x) to be orthogonal

A:

Q: (3) Consider the function defined as : R -> R>0 if laT 1 2 p(x) 0 if a> np(nx), and let Kn(x) be the…

A: Consider the given function which is defined as,

Q: Suppose f(x) = In(x² – 1). Which of the following statements is true? Of has exactly one critical…

A:

Q: g(x) = x' + 3 x² – 24 x

A: The point x=k is said to be the critical point of the function f(x) if Case 1 : f(k) exists and…

Q: - Determine the behavior off(x) = (x-1)(x+2)' x → 1- f (x) →_ x → 1+ f(x) →. x → -2- f(x) → x → -2+…

A:

Q: Determine whether the function f (x) = {: —х in — 1 <x<0 in 0<x < 1 is even or odd,

A:

Q: 14. Determine whether x is O(g(x)) for each of these func- tions g(x). a) g(x) = x c) g(x) = x+x³ e)…

A: