5 How many isomorphisms are there between the following two graphs? Explain. (If you do not know exactly how many there are, tell me as much as you know about how many there are. Examples: There is at least 1; there are at most 3, etc.) a 6.

Q: what is the Hall's Matchings condition And give examples

A: Given: We have given name of condition, that is, Halls matching. We need to tell that what is Halls…

Q: Let (sn) be an increasing sequence of positive numbers and define on = ÷(s1 + 82 ++ Sn). Prove (on)…

A: This is a problem of sequence.

Q: solve for the laplace transform f(t) = {t,t

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Q: Prove that if a and b are both positive, and a2 < b2 then a < b          (Use Indirect Proof)

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Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = e-a²-y°…

A: Given function is fx,y=e−x2−y2cosxy. We have to find the first and second degree Taylor polynomial…

Q: x² – y? (x² + y²)² D = [0, 1] × [1, 3] f(x, y) %3|

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Q: Let H„(x) = (-1)" -w that h, E L² (R). , x € R, n E No, and let h„(x) dan e H„(x)e¯

A: Sol

Q: (1- a? f(x) = 1– x² if x E Q, if r ¢ Q. %3D p at which f is continuous. Prove your conclusion.

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1- y/3 – z/10) dx dy dz in the order dz dy dx.

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Q: In the puzzles below each letter represents distinct digit in a decimal scale. Identify the digits.…

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Q: Let P denote the set of all functions f on [0, 1] such that there exists at least one point x E [0,…

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Q: Let m(x) be the slope of the tangent line to the curve y = 2x° – 6x² + 3x at the point (x, y). Find…

A: We have to find instantaneous rate of change of m(x) at point (2,-2)

Q: Q4. (*) Let W be a Brownian motion without drift. Find the distribution for the following limits:…

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Q: Find the polar coordinates of the points of intersection of the two polar curves. At the point where…

A: Given the curves C1:r=2-cosθ, C2:r=2+2cosθ, θ∈[0,2π). Their derivatives are C1:r'=sinθ,…

Q: Q2\ Discrete system has unit sample response h(k), for which the z-transform 1+z-1 H(z) : 1 (1…

A: Sol

Q: Suppose a graph, G, has five vertices with degrees 9,8,6,5,4. How many edges does G have?

A: We have to find the number of edges in graph G.

Q: (x.y) on the curve r(t) = (2t",7t), for 1sts2 F = (x² +y?) 312 The value of the line integral of F…

A: Line integral and it's value

Q: 1. Of the following three sets of linear equations, identify the set(s) that you could not solve…

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Q: Find matrices D and Pof an orthogonal diagonalization of A (A graphing calculator is recommended.…

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Q: The shaded region shown below is bounded by the functions f(x) = -2x2 +2.75x +9 and g(x) = –-0.75x…

A: 1st we need to find point of intersection of given curve and line .Then divide shaded part into two…

Q: 3:.A card is drawn from a well shuffled pack of 52 cards. Find the probability ol: (iv) a card of…

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Q: The slope of the curve 2r° – y = 7 at the point where y A -4 в -2 с 2 D 4

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Q: Find the value of y in ( 3x + 4yi)(6 -7i) = 3 + 5i  A. 1/20 c. 1/10  B. 3/20 d. -1/15   Q2: If…

A: We have to find the value of y.

Q: Solve the differential equation below using series methods. (- 8a? – 4)y" – 8xy = 0, y(0) = - 7,…

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Q: By using shell method, find the following volume a. y = (x-3)2 and line y = -2x + 6 about x axis

A: Sol

Q: 10 Dice. a) If you roll three dice (each with six sides numbered 1, 2, 3, 4, 5, and 6), what is the…

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Q: jlog(4- ji') (541.5) In log(4ejn) j log(-7)

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Q: 9. Remember: y =h+(v, sin@)t-16t The homerun fence at the Parametrictown Community Park near Chicago…

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Q: 2л — Зу — 7 1. The linear system has –4.x + 6y = –15 (a) no solution. (b) a unique solution. (c)…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: The displacement s of a body in a damped mechanical system, with no external forces, satisfies the…

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Q: Let Ly)= x²y"- x(x+2)4'+ (X+2)y as Consider the homogeneous diffeuntial equation, Lly)=0 (*) is show…

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Q: REPEAT. TYPEWRITTEN ONLY ANSWERS DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. DO THIS TYPEWRITTEN…

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Q: Let T be a linear transformation from M22 into M2,2 such that 1 2 3 1 -1 0 2 %3D 4 Find -1

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Q: Consider the curve C with parametric equations Sæ(t) = t³ – 3t + 1 ly(t) = t(t + 1) %3D %3D defined…

A: 1. Given that,Curve C is given by the parametric equations,x(t)=t3-3t+1y(t)=t(t+1)The curve is…

Q: Let G be the solid in the first octant bounded by the sphere 2x? + 2y? + 2z? and the coordinate…

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Q: Use Taylor series to prove the following finite difference approximations: (a) f()(x) = r, fi-2 -…

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Q: 9 Sam collects commemorative stamps. Among his favorites are Maria Goeppert Mayer stamps and the new…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: From the graph we can see the curves are y=1x,x=2 and 12≤y≤2

Q: ecot(1127 a.26.053 + 22.7038j b. 1.0044 c. 0.1345 0.9526j d. 0.9740 1.252j

A: We find the value of ecot(11&lt;7π)

Q: Q1 A coin throw three times find: 1. Sample space 2. Probability at least head appear twice 3.Never…

A: Solution

Q: Let S be the upper half of the unit sphere x +y +=1 and take n as the upper unit normal. Use Stokes'…

A: Stokes theorem is used to find out the integration

Q: 2.57 † Let S = functions on [a,b]. Show that if n e N and if ao, a1,..., an are not all 0, then it…

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Q: Given A E Mmxn(F). Prove that (LA) = LAt.

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Q: TRUE OR FALSE 1. The identity element of multiplication is one 2. The inequality 2x – 3 < 2x has an…

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Q: Use a spherical coordinate integral to find the volume of the given solid. the solid bounded below…

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Q: (a) |V(G)| > a(G) · w(G) (b) |V(G)| = a(G) · w(G) (c) |V(G)| < a(G) - w(G)

A: This is a problem of Graph Theory.

Q: 4: You are to choose a non-polynomial function, an interval, and six points at which to interpolate…

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Q: What is the volume of the solid formed by revolving the region bounded by 4y = and 4x = y about the…

A: The given curves are 4y=x2 and 4x=y2.

Q: a sin(x) -dr. Jr (r² + 1)(x² + 16) R.

A: