Order the following functions by growth rate: n-n+ 7n', n log n, 2"2, n’, 5 log n, n'2+ log n, log (n + 10)'00, (3/2)", (n– 5)!, n² + log n
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- Sort the following functions (a, b, c, d, e) in their order of increasing growth rate using the O-notation (i.e from smallest to biggest) a. 2^200 b. log log n c. n log n d. 8.9 n + log n e. 3^nGROWTH OF FUNCTIONS. Arrange the following mathematical terms from lowest to highest order. n3 n2 n! 2n 7n – 2 log n n log n 10n n5 + log n n2 + n log n Example: a < b < c < d < … < x < y < zOrder the following functions by asymptotic growth rate: 4n log n +2n 3n + 100 n log n n2 + 10n 210 4n n3 2log n 2n n log n
- please show the steps Q5- find the complexities based on theta notation ? a-f(X)=3n^2 +10n log n +1000n+4 log n +999 b- f(X)= (log n)^2 +2n+4n+log n +50 c-f(X)= n+ n^2 + 2^n + n^4for i := 1 to n for j := 1 to i x := 5 . i + 8 . j next j next iNumbers can be regarded as product of its factors. For example,8 = 2 x 2 x 2; = 2 x 4.Write a function that takes an integer n and return all possible combinationsof its factors.Numbers can be regarded as product of its factors. For example,8 = 2 x 2 x 2; = 2 x 4.Examples:input: 1output:[]input: 37output:[]input: 32output:[ [2, 16], [2, 2, 8], [2, 2, 2, 4], [2, 2, 2, 2, 2],""".
- % 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.Arrange the following expressions by growth rate from slowest to fastest. A=4n^2 B=n! C= 3^n D=20n E=log(base2)n F=2 n^(2/3)Compute the following values: d) P(5,5) e) P(6,0)f) P(100,2)
- Given the following definitions: U={a,b,c, d, e, f, g} A={a, c, e, g} B={a,b,c,d} find A n BConsider a base 26 number system wherein the letters of the alphabet are the digits. That is, A=0, B=1, C=2, … Z=25 in base 10. Use the MAL as a number in the base 26 system, and KHA as another number in the base 26 system.Add these numbers together to obtain the sum in based 26. Example 1 — if your first name is “Peter” and your surname is “Pan”, then add up PET26 and PAN26, and show the sum in base 26.Example 2 — if your first name is “Peter” and your surname is “Pa”, then add up PET26 and PAA26, and show the sum in base 26.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