5- 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

Q: f( n) = n°logn and g( n) = 10n f( n) : |(g(n)) Big O Omega Theta

A: For n=8 f(n) = n2  log n = 8² log 8 = 64*3 = 192 g(n) = 10 n3 = 10*8³ = 5120

Q: Espress the mwer in ars aNTATiSis TIotation

A: In Asymptotic notations, there are three types of time complexities. That are: Best case time…

Q: Using Math.pow() to raise x to the mth power, and using a loop, write a method that computes the…

A: Start Accept base and power value. call the method to compute the series.   Method series Assign…

Q: Write the runtime of the following equations in-terms of Big-Oh and Omega Ω; 300 n^4 +50 m c1 (N^ 6)…

A: 1. The given equation is  300n4+50m Here n4 is the larger term which will account for the time…

Q: 1 g(n) = 4 · g(n/3) + log(n)

A: The solution for the above given question is given below:

Q: Suppose that f(n) = ¡n³ +n+1 and g(n) = 100n³ + 1000n² 10 ○ f(n) = O(g(n)) and f(n) = N(g(n)) ○ f(n)…

A: Given pair of functions f(n) and g(n) f(n) = (1/10)n3 + n + 1 g(n) = 100n3 + 1000n2

Q: For summation of n natural numbers, 1+2+3+4+5...n, create (a) a bottom-up dynamic programming…

A: Bottom-up dynamic programming solutions start by looking at the smallest possible sub-problem,…

Q: For each pair of functions below, match Big-Oh. n²+100000n 1+2 - n₁² + n -1000 m² + 10000m +…

A: Given information: 1. n 2. n ^ 2 + 100000n 3.  n + 2 4.  n ^ 2 + n 5. 1000n ^ 2 + 10000n + 1000 ^…

Q: Use Matlab to code the problem as : Let x[n] = r[n] - r[n-5] - 5u[n-10] a.) Sketch x[n], x[n+2],…

A: clc;n= 0:01:20;u1 = n>=0;r1 = n.*u1;u2 = n>=5;r2 = (n-5).*u2;u3 =5.*[n>=10];x1 = r1 - r2 -…

Q: 1. Find the z transform X[Z] from your x[n] 2. Find the ROC of X[Z] 3. Resolve your x[n] = [,.,0t,,]…

A:

Q: By using subroutine find the even numbers in the second quarter of matrix A(6,6). 10 DIM A(6*6) 20…

A: To find the even number in the second quarter of the array the following steps are to be performed:…

Q: F(w,x,y,z) = m0+ m3 + m4 + m7+m9+ m10+m13+ m14

A: To draw Kmap for the given terms.

Q: i = 0, j = 0 For(a = 0; a*a < n; a++){      For(b = 0; b < n; b *= 2){             For(c = 0; c*c…

A: For all intialization 1 time complexity  Like i=0,j=0, c,a,n  And statement inside for loop also…

Q: There are many many ways to approximateπ. One of the most efficient algorithms is using the…

A: Here's the step-by-step algorithm for the 'estimate_pi_chudnovsky' function: Inputs: n: a…

Q: This question concerns the field GF(16). The modulus is P(x) = x² + x + 1. Please answer the…

A: Answer the above questions are as follows

Q: Order the following functions by growth rate: n-n+ 7n', n log n, 2"2, n’, 5 log n, n'2+ log n, log…

A: The comparisons of various time complexities are as follows : O(1) &lt; O(loglog n) &lt; O(log n)…

Q: write a c++ program that counts how many words there are in a string. However, it should not count…

A: Here, Code instructions are given.

Q: Understand the running order of 7 functions O(1), O(n log n), O(n), O(n2 ), O(n3 ), O(log n), O(an…

A: The asymptotic upper bound of a function, often denoted using "big-Oh" notation (O()), can be…

Q: 18 23 Sample Distance 55 62 1 18 55 23 62 30 41 37 30 41 14 37 14 2. 3. 4. P.

A: Answer : Here we are calculating the Z value at P using the IDW interpolation technique. Exponent is…

Q: Problem 2 - 40 points The value of sin(x) can be approximated using a Maclaurin series x³ x5 sin(x)…

A: Complete Solution Again, before starting this problem, we note that the Taylor series expansion at x…

Q: Given x[n] = x1[n] + x2[n] where, πη x1 [n] = 9 cos 4 and x2[n] = 8 sin 8

A:

Q: Given polynomials: P(x) = 4x3 + 5x2 -2x + 3 Q(x) = 2x3 -3x2 + x + 1 Calculate the product PQ(x) in…

A: Answer: I have given answer in handwritten format.

Q: The function f(n)= n4.3+ n° log n + 10 is a. O(log n) O b.O(n5) O. o(n5 log n) O d. 0(n2.5) e. O(n…

A: Here in this question we have given a function and we have asked to find complexity in term of big…

Q: Question 1: Consider the given table and determine Source s1 Pi a. The source code using Fano Coding…

A: The answer is below:

Q: 1. F(n)=n^2/2 - 3n 2

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: solve it using Keil uVision5

A: Here I have written the code in the Keil uVision5. Have a look.…

Q: 6 * 6. enter the following polynomial in MATLAB p=- 2x + 3x* – x² + 4x Your answer 7. Find the roots…

A: In matlab Polynomials are represented as vectors of coefficients. 6. x=[-2,0,3,0,-1,4] 7. y=roots(x)…

Q: Consider the following generalised NFA M5: 11 90 01 ql 1 00 011 93 10 q2 Convert M5 to a regular…

A: NFA stands for Nondeterministic Finite Automaton, a class of finite automata utilised in formal…

Q: Answer the given question with a proper explanation and step-by-step solution.  What is the Big-O…

A: Big-O notation is a way to measure the complexity of an algorithm. It is used to classify algorithms…

Q: python WAP to find x+x^2+x^3+x^4+x^5 and take x from user

A: Requirements :- python WAP to find x+x^2+x^3+x^4+x^5 and take x from user Solution :- take user…

Q: Determine the lowest big-O order for the following function: 2n4 + 4n - 3 2n³ + 3n O(n²) O 0(n*)…

A: Let's understand step by step :   Given function ,   2n4 + 4n - 3 / 2n3 + 3n   (1) Taking numerator…

Q: a) f(n) = 3n³ log³n + 2n/n + 5nº n² + 5n log“ n log n .2 b) f(n) = 5n + 3; c) f(n) = 4"n² + 5" + n³…

A: Ans. a) O(n3 log5n )  because:    log5 n &gt; n

Q: ;Q= [E exadecim:

A:

Q: The sum of C(X)=A(x)+B(x) of two elements from GF(2°) is: is: A(x) = x³ + x³ + x B(x) = x*+x³+x

A: Here we have to understand about arithmetic in field GF(2^8). Addition: C(x) = A(x) + B(x) mod m(x)…

Q: 2. Verify the function files created in problem (1) by plotting the sequence generated by the…

A: The answer for part 1 is here.n1 = -10;n2 = 10;n = n1 n2;n0 = 2; % (JE)deln_n0 = n ==…

Q: If Y(k) is the discrete Fourier transform of y(n), then the inverse discrete Fourier transform of…

A: discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function…

Q: What is the theta notation of f (n) +g (n)? f (n) = 0 (1) 9 (n) = e (n') O (n²) e (n) O 0 (n) O e…

A: Given theta functions are  f(n) = Theta(1) g(n) = Theta(n²)

Q: If X=(A+B+C+D')(A+B+C'+D')(A+B'+C+D') (A+B'+C'+D')and Y=A'B'+ABD. Then Z=XY can be written in a…

A:

Q: Simplify the following, using Θ-notation: n^2 + n log_3 (n)

A: In algorithmic analysis, Θ-notation is a mathematical notation commonly used to describe the…

Q: c) Simplify the expression [(a'^b)v (a v b')]v (a'nb ^c) by using the laws of Boolean algebra. d)…

A: Simplified the given boolean expression

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.