Learning Target N2 (Core): I can perform back-substitution in the Euclidean Algorithm to write the the greatestcommon divisor of a and b as in Bézout's Lemma, gcd(a, b) = as+bt, noting the between the terms witha, b, s, te ZUse the Euclidean Algorithm with back-substitution to find the gcd(a, b) and then write gcd(a, b) = as+bt,making sure to have the + between the terms.1. a = 49, b = 15. The answer is 1 = 49. (4) +15 (13), now show the work.2. a = 836, b = 253. The answer is 11 = 836 (10) +253 (-33), now show the work.

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Answered: Learning Target N2 (Core): I can…

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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I am attaching a problem from discrete math regarding the extended euclidian algorithm. I also attached the answer. If you could show me the steps to get the andwer that would be awesome! Thanks!
Determine which characteristics of an algorithm the following procedures have and which they lack. procedure divide(n: positive integer) while n begin m := 1 /n n:=n - 1 end
Solve this using simplex algorithm
Learning Target N2 (Core): I can perform back-substitution in the Euclidean Algorithm to write the the greatest common divisor of a and b as in Bézout's Lemma, gcd(a, b) =as + bt, noting the + between the terms with a, b, s, te Z Use the Euclidean Algorithm with back-substitution to find the gcd (a, b) and then write ged(a, b) = as+bt, noting the between the terms with a, b, s, t € Z. 1. a 36, b= 15. The answer is 3 = 36 (-2) +15 (5), now show the work. 2. a = 567, b = 1234. The answer is 1= 567 (37) +1234(-17), now show the work. I
Ifa = 282 and b = 34 then find the following 1) Find ged(a, b) "use Euclidean algorithm" 2) Write the gcd(a, b) as a linear combination of a and b 3) Write a and b in standard form of prime factorization 4) Find L.c.m(a,b)
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…
[Sets and number] Please use extended euclidean algorithm to find the value of a :)
Express efficient algorithms clearly for the below problem. Also, explain the asymptotic behavior of the algorithm. Assume a list of building blocks. Each block is a cube with a given size, and has ontop, a list of all the other blocks that can be placed directly on top of it. You are also given a number k. Determine whether or not you can build a tower with block 0 at the bottom and block 1 at the top using no more than k blocks. If so, we want to know the height of the shortest such tower. Example: given 0: 8, ontop=2,3 1: 15, ontop=0 2: 11, ontop=1,3,4 3: 10, ontop=0,1,2 4: 7 ontop=1 if k were 2 the answer would be no. if k were 4 the answer would be yes, with height 33 (block0 then block3 then block1)
Someone used the Euclidean Algorithm to compute gcd(44,140) and found the following. Use this to write the gcd as a linear combination of 44 and 140. Show work. 140 = 3(44) + 8 44 = 5(8) + 4 8 = 2(4) + 0
The extended Euclidean algorithm computes the gcd of two integers ro and r₁ as a linear combination of the inputs. gcd(ro, r₁) = s.ro + t •rı Here s and t are integers known as the Bezout coefficients. They are not unique. The algorithm works like the standard Euclidean algorithm, except that at each stage the current remainder ri is expressed as a linear combination of the inputs. ri = siro + tir₁. This produces a sequence of numbers To, T1, Tn-1, Tn where r = 0 and gcd(ro, r₁) = Tn-1. Suppose that ro = 420 and T1 = 382. Give the sequence ro, T1,..., Tn-1, în in the blank below. Enter your answer as a comma separated list of numbers. What is GCD(420,382)? What is s? What is t?

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