Let f= (1 2) (364) and g = (1 4) (2 5 3) be permutations in S6, written in cycle notation. What is the second line of fin two-line notation? Enter it as a list of numbers separated by single spaces. Let h= f g ¹. What is h in cycle notation? Enter single spaces between the numbers in each cycle. Do not type spaces anywhere else in your answer.

Q: 2. Which of the following is NOT a path in the graph? B E FO OA) FEBA OB) FBCCD OC) FEABCD OD) All…

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A: Here, we need to use partition method to find inverse of A.

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A: The given power series is                                 ∑n=0∞n+1-n(x+2)n

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Q: Example 2.29. Find the smallest root of the equation X X 1-x+ + ... = 0 (21)² (31)² (4!)² (5!)².

A: This is a problem of power series.

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Q: G Н

A: for G graph :- there are 7 vertices , and we can use edge contraction method.  if we take one…

Q: 4. Let V be a vector space over R with subspaces U and W. (e) Show that 1 0 -1 1 and define LA: R4 →…

A: 4.c

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Q: Solve the Ordinary Differential Equation y" - 2y' - 8y = 0 if y(0) = 3 and y'(0) = 6. O a. 2e…

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Q: 3. Find the equation of the tangent to the curve y = (x - 2)√x² + 16 at X = 3.

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Q: 4. Use Lagrange interpolating polynomial to compute the value of f(1.3) for data points (0,-1), (1,…

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A: As per the question we have to formulate the double integral (in Cartesian coordinates) to find the…

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Q: a)(2-1)(3-21) b) (2-1)²

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Q: 4. y' + 2y" - 11y' - 12y = 11t -9, y(0) = 0, y'(0) = 0, y" (0) = -3

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Q: 2. Which is the main connective of the following sentence: -(F-G)→ H A. - B.. C. → D. O

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Q: If a, b, c are in GP and the equation ax² +2bx+c = 0 and dx² +2ex+f=0 have a common root, then is it…

A: Solution:  Given a,b,c in G.P.  So b2 = ac  Hence b = ac  ax2+2bx+c = 0Put b=ac in above equation,…

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Q: The Laplace Transform of the figure below is in the form as shown. Find - b. Answer must be an…

A: This is a problem of Laplace transform.

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A: Here, we need to use Iteration method and Aitken's Method to solve given equation.

Q: t, +) = { (+ (t-7)², (11t - ²1-ar g(t) 4St<7 t27

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Q: Let Find in terms of x and y. x=1+3a+6a² +10a³+, |a|<1 y = 1+ 4b+10b² + 206³ +.., |b|<1…

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Q: Let H be a subgroup of all automorphism of a field K.then the fixed field of H is a subfield of K.

A: Given: H≤Aut(k) To show: H is a subfield of K

Q: The interval of convergence of the series Σ(√√n+1-√√n)(x+2)" is given by n=0 OA.-3≤x≤-1. OB.-3<x≤…

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Q: F(SuT)=F1(T) , where F1=F(S)

A: Given that                       F be field extension and S ,T are subset of K

Q: The numerical value of the lim 31-0 Question 1 n+3 nln (2) n+1 is equal to

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Find the Laplace transform of the following: 1. f(t) = 9t²u₁o(t) + 6(t — 5)³ u₁(t) — 12 sin (-)…

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Q: matrix 54 1 2

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A: This is a problem of Vector Calculus.

Q: If x,> 8 and x n+1 = 2 - for nEN. Then the limit of x is equal to 11 X 31

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Q: Example 2.34. Apply Muller's method to find the root of the equation cos x = xe which lies between 0…

A: Here we need to use muller's methode.

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Q: Find the Laplace transform of the following: 1. g(t) = = t, (t - 4)², (9t - e 20-4t t < 3 3 ≤t<5 t≥…

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Q: A manufacturer is planning to sell a total of 300 machines to both foreign and domestic firms. The…

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Q: Find the Laplace transform of the following: 4. y + 2y" - 11y' - 12y = 11t-9, y(0) = 0, y' (0) = 0,…

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