Let f and g be any permutations. Show that the order of h=fgf^(-1) is the same as the order of g.

Q: Consider the permutation T = (t aq gblvxh)(n s k w fue)(y codjr)(pzmi). (a) Showing your working,…

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Q: Find the volume of the solid whose base is the region in the xy-plane bounded by the parabola y = x²…

A: Given that y=x^2, y=3x and z=x+4 We have to find volume

Q: the value of y when x is equal to 0. The slope of the regression equation is the estimated ______ of…

A: Remark: A regression line is a straight line that interprets how a response variable y changes as an…

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Q: 3. Sketch the graph of the following functions by transforming the graph of their parent functions.…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: For each of the following equations, • find general solutions; • solve the initial value problem…

A: Since you have asked multiple questions, we will solve one question for you. If you want any…

Q: Consider the linear DE system æ' = Aæ with -14 -90 and A = 2 14 If the initial conditions are given…

A: To find the solution for the below linear differential equation system. x'=−14−90214x,  x0=02

Q: Let f E S, be a permutation What is the value of the signature function sgn(g) for the following…

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Q: space W of R’ spanned by -6

A: Introduction The Projection of the vector v→ onto W is   Projwv→=v→·xx·xx→+v→·yy·yy→

Q: Use the third Taylor polynomial P3 (T_

A: Given,           f(x)=xln2x about x0=1

Q: As a student how can you relate the topic derivative in daily life?

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Q: C. A public utility jeepney (PUJ) is operating from La Trinidad to Baguio for a total distance of…

A: Given, Total distance= 15 km The equation governing the cost of fuel = 0.002 v3+100 T where, v=…

Q: An organization had 14 employees. There are 9 female employees and 5 male employees. How many teams…

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Q: 8 Evaluate the integral dx using the two-point Gaussian quadrature rule. 16+z1 -2

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Q: Let y = sin(5x). If Ar = 0.4 at r = 0, use linear approximation to estimate Ay Ay 2 %3D Find the…

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Q: 2. Solve the following initial value problem in terms of g(t): y" – 3y' + 2y = g(t) : y(0) = 2 ,…

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Q: 1. Use Euler's method to approximate the solution of the following initial-value problem at t = y' =…

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Q: Note: a=9 5 feet plus 7 a+2 2. If you know that the length of one of the rectangular farmlands is…

A: Solution

Q: A plane carrying food and water to a resort island can carry a maximum of 2700027000 pounds and is…

A: Let x represent the number of food containers and y represent the number of water containers. From…

Q: Find the minimal distance from the point -18 10 P = to the plane V of R' spanned by 3 4 -4 4 -4 and…

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Q: olve (2xy*e +

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: Look into the polynomial p(x) It is known from the polynomial that p(-3)=-1 and p(0)=3 Based on this…

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Q: Let m, n ɛ Z+ such that gcd(m, n) = 1. Suppose there are M and N abelian groups, up to isomorphism,…

A: Given that m,n∈ℤ+ such that gcdm,n=1. Suppose that there are M and N abelian groups, up to…

Q: The solution set of the equation x4-5x3-51x2-95x-42=0 is

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Q: Solve the following initial value problem using Laplace transformation d?y + 8y = cos 2t with y(0) =…

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Q: Find the area of this trapezoid. Be sure to include the correct unit in your answer. 7 m m2 5 m 11 m…

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Q: 1. (a) The reduced row-echelon form of the matrix A is shown to be matrix R, as given below: -1 3 -2…

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Q: Find the interval of convergence of 00 x3n+7 Σ In(n) n=2 (Use symbolic notation and fractions where…

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Q: The perimeter of the rectangle below is 116 units. Find the length of side RS. Write your answer…

A: length of the rectangle, using the perimeter of the rectangle

Q: a) V = R", (x, y) = (Ax) · (Ay) where A e Mn,n is invertible.

A: Given that, V∈Rn,  A∈Mn,n is invertible matrix, i.e  A≠0 we have to show that x,y=Ax.Ay is inner…

Q: Proposition: The signature of any r-cycle in S, is equal to (-1)-. Proof: 1. Note that a typical…

A: Fill in the blanks in the proof and give answer to the related questions :-

Q: x, + 2.x, +3x, = 3 For the linear system 4x, + 5x, + 6.x, = 3, find the minimum norm solution. %3D…

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Q: Find the Inverse Laplace Transform. 98-8 F (s) = %3D 82-4s+20

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Q: Two numbers when multiplied equals 63. If one number is x and the other number is 2 less than x.…

A: Given Two numbers when multiplied equals 63.  If one number is x and the other number is 2 less than…

Q: Find (do not do the Newton's iteration) the con- vergence order and the rate of the Newton's method…

A: See answer below.

Q: Let A E Mn.n: Show that AT A and AAT are similar.

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Q: Fill out the multiplication table below. All numbers are in Base 5 1 2 4. 10 11 12 13 14 1 3 4. 3.…

A: The place value of a number is the value of each digit in a number. Each place value of the number…

Q: e solution set of the equation 14x5 + 83x4 + 78x3 - 258x2 - 360x + 27= 0 i

A: To find the solution set of the below equation. 14x5+83x4+78x3−258x2−360x+27=0

Q: Express 1+ cos a + i sin a in the modulus amplitude form.

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Q: The binomial coefficient in the extension of (1+x)4 are - a. 14644 b. 14461 c. 14641 d. 16461

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Q: Let X be a Banach space an {xn} be a sequence in. X. Prove that if {xn} converges in norm in X, then…

A: Given: Suppose X is a Banach space and xn→x in X. To prove: xn→x weakly

Q: the position of the rider every minute of the ride. Graph your results on a graphing calculator.

A: In this question, the concept of Parametric Equation is applied. Parametric Equation A set of…

Q: Question 2. Prove that a nonempty closed subset of R, if it is bounded from below, has a least…

A: The given question is related with real analysis. We have to prove that a nonempty closed subset of…

Q: 2. Find lagrange's Inerpolating polynomial of degree 2 approximating the function y = In x defined…

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Q: 5 4 Find a 2x2 matrix A for which A 6 5 3 -6 -2 LA=] A =/ (Type an integer or decimal for each…

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Q: Solve the following system of linear equations: 2x + 3y – 4z = 1, - 2w + x + y+ z = 0, w – x + y – z…

A: Given system of linear equations is w−2x+3y−4z=12w+x+y+z=0w−x+y−z=−1........1 We have to find the…

Q: 10 s(2-(z2 + 5)") dz =? 12z(z + 5)° +c (=+5) +c (22+5)

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Q: Find the area of this trapezoid. Be sure to include the correct unit in your answer. 16 yd 8 yd 5 yd…

A: We know, Area of the trapezoid= (1/2)* ( sum of the length of parallel sides)*height unit2

Q: ) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1 – j2) 2 - j3 5z 1+j2…

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Q: Find the Re(z) and Im(z) z=sin(e^i3)+sinh(5∠30)

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