[5] For each of the following functions f find a simple function g such that f(n) = Ⓒ(g(n)). (a) fi(n) (1000) 2" +4". (b) f(n)=n+n logn + √n. (c) fs (n) log(n20) + (log n) ¹0. 100 (d) fa (n) = (0.99)" +n¹

Q: You are given a sequence of integers A1, A2,..., AN and an integer M. For any valid integers p, q,…

A: for _ in range(1):     mod = 998244353     n,m,q=map(int,input().split())…

Q: For each of the following pairs of functions ff and gg, circle one of the answers f \in o(g), f \in…

A: Ans: first of all you need to understand the basic concept of Notation: (1) 'o' Notation:  if…

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A: This is question is about big O notation.

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A: Your answer is given below.

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A: We know, big oh O, big Ω and big theta Θ notations are used to describe asymptotic upper bound,…

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A: Solution:   Given,

Q: You are given a sequence of integers A1, A2, ..., AN and an integer M. For any valid integers p, q,…

A: from sys import *mod = 999000000t = int(input())for _ in range(t):    n,m,q = [int(d) for d in…

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A: Answer

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A: Given function: S: Z+ →Z+ For each positive integer n, S(n) = The sum of the positive divisor of n.

Q: Order the functions in increasing order

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A: See the solution below-

Q: For each of the following pairs of functions ff and gg, circle one of the answers f \in o(g), f \in…

A: 1. option b

Q: 5. Consider the following functions, f(n) and g(n): f(n) 1₁ -logn n 2k logn g(n) 1 n n k

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A: Note: Since you have not provided a language name to write the code so I am using java language to…

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Q: Computer Science Question

A: for _ in range(1):     mod = 998244353     n,m,q=map(int,input().split())…

Q: Computer Science Question

A: for _ in range(1):     mod = 998244353     n,m,q=map(int,input().split())…

Q: 6. Let f(n) and g(n) be non-negative functions. Show that: max(f(n), g(n)) = O(f(n) + g(n)).

A: Defined the given asymptotic notation for the functions

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Q: You are given a sequence of integers A1, A2,..., AN and an integer M. For any valid integers p, q,…

A: Please give positive ratings for my efforts. Thanks.   PROGRAM   for _ in range(1):     mod =…

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A:

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Q: Problem 4. Please show the followings: (a) let x and y be real numbers with 0 1 and b > 1.

A: Proved the given functions

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A: What you want to ask specifically. I will answer.

Q: Question 2. (a) Show that there is no n EN such that n = 1 (mod 12) and n = 3 (mod 8). (b) Find a…

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Q: Computer Science Question

A: for _ in range(1):     mod = 998244353     n,m,q=map(int,input().split())…