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: 1 g(n) = 4 · g(n/3) + log(n)

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

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) < O(loglog n) < 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 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: 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: 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 > n

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.