Sort 6, 2, 5, 4, 3 in increasing order using the following algorithmsort(a(1),..., a(n): real numbers with n ≥ 2)for i:=1 to n-1for j:=1 to n-iif a(j) > a(j+1) then interchange a(j) and a(j+1){a(1),...,a(n) is in increasing order}Which of the following steps do not attained during the procedure?1. 2, 5, 6, 4, 3II. 2, 6, 4, 5, 3III. 2, 4, 3, 5, 6IV. 2, 6, 5, 4, 3V. 2, 4, 5, 6, 3II and VI and IIIII and IVonly V

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Answered: Sort 6, 2, 5, 4, 3 in increasing order…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let n be a positive integer. Give a recursive algorithm for computing the sum of the first n positive integers by filling in the boxes in the procedure below with the expressions n, n – 1 or 1. Note: You have to use some expressions more than once, but each box must contain only one of those expressions. procedure sum : positive integer) if then sum 1 else sum + sum
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let M be the greatest integer less than 30 such that M!(M+1)!/2 is a perfect square. Let N be the greatest integer that divides C^4-C^2 for the integers C>1. Find M+N
Use generating functions to find the number of ways to select50 balls from a large pile of white, blue, and green balls if(a) The selection has at least five balls of each color.(b) The selection has at most six green and at most six white balls.
Let S be the subset of the set of ordered pairs of integers defined recursively by Basis step: (0,0) = S F Recursive step: If (a, b) = S, then (a, b + 1) = S, (a + 1, b + 1) = S, and (a + 2, b + 1) = S. List the elements of S produced by the first four applications of the recursive definition. Enter your answers in the form (a₁, b₁), (a2, b2),..., (an, bn), in order of increasing a, without any spaces. The first application of the recursive step adds (Click to select) ✓to S. The second application of the recursive step adds (Click to select) The third application of the recursive step adds (Click to select) The fourth application of the recursive step adds (Click to select) to S. ✓to S. ✓to S.
Consider the list of numbers: 2n-1, where n first equals 2, then 3, 4, 5,6,…What is the smallest value of n for which 2n -1 is not a prime number. Show all your work.
4. [Ocean Weather] Information about ocean weather can be extracted from radar returns with the aid of a special algorithm. A study is conducted to estimate the difference in wind speed as measured on the ground and via the Seasat satellite. To do so, wind speeds (miles per hour) are measured on the ground and via the Seasat satellite simultaneously at 12 special times. The data is shown in the following table. The table also shows the difference between the wind speed on the ground and that via the Seasat satellite at each time, as well as some summary statistics. Difference Time Ground (x) Satellite (y) d= x – y 1 4.46 4.08 0.38 3.99 3.94 0.05 3 3.73 5.00 -1.27 4 3.29 5.20 -1.91 4.82 3.92 0.90 6 6.71 6.21 0.50 7 4.61 5.95 -1.34 8. 3.87 3.07 0.80 3.17 4.76 -1.59 10 4.42 3.25 1.17 11 3.76 4.89 -1.13 12 3.30 4.80 -1.50 d = -0.41 Sd = 1.14 It is claimed that the wind speed measured on the ground is lower than that measured via the Satellite on average. Set up your hypotheses to test this…
= The Fibonacci numbers are a sequence numbers defined by F₁ = 1, F₂ = Fn = Fn-1 + Fn-2 for n ≥ 3. 1, and
Discrete Math: Q# 1. How many strings of 9 letters can be created if the first and last letter must be the same? Is this 26^8 * 25? Q#2. How many ways can a president, a vice-president, and a treasurer be chosen from a committee of 20 people? Is this 1140? I got this using the combinatorics definition using P(20,3)=20!/3!(20-3)1 Or is it 20!/(20-3)!=6840? I'm not sure which one to use. Q#3. How many numbers are there between 5 and 157 that are divisible by 3? Is this 52-3+1=50? I'm just going over some practice questions and want to make sure I'm on the right track. Thanks :)

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