3. Consider the one-way function n = pxq where p and q are prime numbers. 3.a Compute n if p = 205951 and q = 470593. 3.b Given 161, find p and q . 3.c Given n = 7617497267, find p and q. Don't spend too much time attempting to find the answer! 3.d Find (40).
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- Define a function S: Z+ → Z+ as follows. For each positive integer n, S(n) = the sum of the positive divisors of n. 1.) S(13) = 2.)S (5) =Simplify the complement of the following function: F(A,B,C,D)=(0,2,4,5,8,9,10,11) Your answer: F=((A'B'D)' (BC)'(AB)')' F=((A'BD)'(BC)'(AB)')' F=((A'B'D)'(B'C)'(AB)') F=((A'B'D')' (BC)'(AB)')Find (f o g) and (g o f) , where f (x) =x2+1 and g(x) = x + 2, are functions from R to R.
- 79. To find the decimal value of 1111, that is 15, we can use the function: a. int(1111,10) b. int(‘1111’,10) c. int(1111,2) d. int(‘1111’,2)The function f takes number of years since 2000 and gives number of cows on a farm, g takes number of cows on a farm and gives tons of feed the farm needs in a year. Combine these so that C takes number of years since 2000 and gives tons of feed the farm needs in a year.The question describes a function S(k) which is defined as the sum of the positive divisors of a positive integer k, minus k itself. The function S(1) is defined as 1, and for any positive integer k greater than 1, S(k) is calculated as S(k) = σ(k) - k, where σ(k) is the sum of all positive divisors of k. Some examples of S(k) are given: S(1) = 1 S(2) = 1 S(3) = 1 S(4) = 3 S(5) = 1 S(6) = 6 S(7) = 1 S(8) = 7 S(9) = 4 The question then introduces a recursive sequence a_n with the following rules: a_1 = 12 For n ≥ 2, a_n = S(a_(n-1)) Part (a) of the question asks to calculate the values of a_2, a_3, a_4, a_5, a_6, a_7, and a_8 for the sequence. Part (b) modifies the sequence to start with a_1 = k, where k is any positive integer, and the same recursion formula applies: for n ≥ 2, a_n = S(a_(n-1)). The question notes that for many choices of k, the sequence a_n will eventually reach and remain at 1, but this is not always the case. It asks to find, with an explanation, two specific…
- You are given a third-degree polynomial function f(x) as follows. f(x)=x3-43x+42 x0=2.4, x1=1, x2=3, n=90 Note that the answers are given with exactly 3 digits after the decimal point. Could you write the codes by using Pyhton 3 according to the questions in the picture which I uploded?Let A = {a, b, c}, B = {x, y}, and C = {0, 1}.Let A = {c, n, b}, B = {x, y} and C = {0, 1}. Find A)A X B X C B)C X B X A C)B X C X C
- Determine whether or not the function f : Z × Z ! Z is onto, if f((m, n)) =m-n.% Define the function f(x) f = @(x) -1*(x < 0) + 1*(x >= 0 & x <= 2); % Set the maximum value of N Nmax = 512; % Initialize the x-axis values for plotting x = linspace(-1,3,1000); % Compute the Fejér sums for various values of N F = zeros(length(x), Nmax); for N = 1:Nmax % Compute the Nth Fejér sum Sn = @(x) 0; for n = 1:N bn = (-1)^(n+1) / (n*pi); Sn = @(x) Sn(x) + bn*sin(n*pi*x); end FN = @(x) (1/N) * Sn(x); % Evaluate the Fejér sum at each point on the x-axis I tried to submit this to MATLAB, but can't seem to get it right.Given the function F(A, B, C, D) = Σm(0, 1, 3, 5, 7, 8, 9, 11, 13, 15)