Can I get help with this question? Problem 1. Solve the recursive equations with big-O notation....
Big-O notation. Let T(n) be given using the recursive formula. T(n) = T(n-1) + n, T(1) = 1. Prove that T(n) = O(n2).
In Java code provide the desired Big O notation methods and then call those methods in the main. Problem: Let n be the length of an integer array a, for each of the following classes ?(log(log(log(?)))) ?([log(?)] 3 ) ?(? 5 ) ?(4 ? ) ?(?!) ?(? ? ) write a method that takes as sole input an array a of length n, non-recursive, whose running time belongs to only one of the above classes.
Please solve Q1, this is a discrete math question. "O" represents Oh notation, f=O(g) if there are positive constants c and n0 such that for any n≥ n0, f(n) ≤ c·g(n). Please include all your explanations. Problem 1 (3 points) Find the least integer t such that (n° + n2 log(n)) (log(n) + 1) + (8 log(n) +6) (n3 + 4) is 0 (nt). Briefly justify your answer (i.e., why it is o (nt) and why it is not 0...
can some one help me to solve this problem step by step? Use the definitions of O, N, and to prove that: 4n– 12n + 10 = O(n?) 5n5 - 4n4 - 2n+ n = O(n5) 4n2 +n + 1 = 12() nº + n + Zn +1 = en) (5) 13/2 + Vn sin(n) +n log(n) = O(n?) (3)
For each of the following recursive methods available on the class handout, derive a worst-case recurrence relation along with initial condition(s) and solve the relation to analyze the time complexity of the method. The time complexity must be given in a big-O notation. 1. digitSum(int n) - summing the digits of integer: int digitSum(int n) { if (n < 10) return n; return (digitSum(n/10) + n%10); } 2. void reverseA(int l, int r) - reversing array: void...
QUESTION 10 Solve cosxtanx + cosx = 0 O* 37 4 + 2n and x = 771 4 +2nIt where n is an integer 371 TT ox=+ + 2n and x = + 2n it and x = Al 57 + 2n and x = +2nIt where n is an integer 3 TT 771 o *= 2n 7 and X = TT + 2n it and x = + 2n and x = - SM 17 dx=77 +2nIt where n...
QUESTION 5 please. 4. MATLAB can solve second order equations numerically, but it needs to convert it to a sys- tem first. We haven't covered systems yet, but we can make use of them (entirely in MAT- LAB) to solve this problem. The help page https://www.mathworks.com/help/symbolic/ solve-differential-equation-numerically-1.html shows how to do this. Follow those steps to get the solution to day +9y = cos(3) dt2 y(0) = 0 v(0) = 0 Plot this and your solution from the previous part...
Please show work and solve in Asymptotic complexity using big O notation. (8 pts) Assume n is a power of 2. Determine the time complexity function of the loop for (i=1; i<=n; i=2* i) for (j=1; j<=i; j++) {
Can I please get help with this question? Problem 3. How many lines, as a function of n (in 0(.) form), does the following program print? Write a recurrence and solve it. You may assume n is a power of 2. function f(n) { If (n>1) { print.line ("still going");/ f(n/2); f(n/2); }
The Fibonnaci sequence is a recursive sequence defined as: f0 = 1, f1 = 1, and fn = fn−1 + fn−2 for n > 1 So the first few terms are 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, . . .. Write a function/procedure/algorithm that computes the sum of all even-valued Fibonnaci terms less than or equal to some positive integer k. For example the sum of all even-valued Fibonnaci terms less than or equal to 40...