Summary of what is Mathematics in modern world about

Q: Q2: State and prove the first isomorphism theorem.

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Q: For X and Y normed linear spaces, let {T} be a sequence in L(X, Y) such that Tn →T in L(X, Y) and…

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Q: In Exercises 9 to 12, determine whether the two graph are equivalent. 9. B C C A D B

A: given two graphs

Q: Find limit et integration (i) f f f f(xy, z) dy dx dz G 12) SSS f(x4₁7) dx dy dz ст √x=1-7 1-√x 7 =…

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Q: Find the chromatic polynomial of G

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Q: Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral…

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Q: I. Evaluate each of the following iterated integrals. 1. Jo” Jovix dxdy R/2 (siny Inx 2. ²x…

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Q: y" + y = sec x tan x

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Q: 2. If a is an involution, then Baß is an involution for any transformation B.

A: It is given that α is an involution. So, we can say that α2=I.

Q: NEED ASAP!! Find a root greater than zero of f(x)=e^x−2x−5 using the Fixed-Point Iteration Method…

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Q: Test the convergence of the following: n 3η +1 1- 4, n 3n-1 2- - Στη n=1 = 1) n Inle+ n+l

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Q: Evaluate the following integrals: Find the area (set-up the definite integral only) of the given…

A: The solution is given below

Q: Find the optimal solution of the following (T.P) by using Least-Cost method. 6 40 50 70 90 90 100…

A: Given,   W1 W2 W3 W4 W5 supply F1 (4) (1) (2) (6) (9) 100 F2 (6) (4) (3) (5) (7) 120 F3 (5)…

Q: Ⓒ Solve зик subject to + 2x x = 0 u(x,0) = in Rx [0,00) n(x)

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Q: The point of inflexion of the curve r = b0" are given by {a} r = b[¬n(n+1)]"¹² (b) r= b[n(n+1) ² (c)…

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Q: a non-planar graph that is not homeomorphic to K5or K3,3.

A: Solution:-

Q: ) Solve by using Laplace transform the partial differential equation 8² 2² = 9. dy(x,0) y(0,1)= 0,…

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Q: 4. What are the various applications of the dot product? Explain how the dot product is used to…

A: We will use the basic knowledge from vector calculus to answer this question correctly and…

Q: x Which of the following statements is/are true about the graph of R(x) = x² 4 - A. As the value of…

A: Introduction: For a rational function, vertical asymptote is quite natural. The points where the…

Q: @ Suppose that f(n) = corn, g(n)= e. Using numerical affronimation find I (0-8), 9²(0) for the…

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Q: Use separation of variables method to solve the partial differential equation: du d²u du(x,0) = +u…

A: Given Partial differential equation (PDE) ∂u∂y=∂2u∂x2+u Given, Initial conditions u0,y=0 and…

Q: Use separation of variables method to solve the partial differential equation: ди - ди du(x,0) +u…

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Q: General solution of (ylny − e¯xy)dx + ( + xlny) dy = 0

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Q: e-3t sin (4t) y (0) ==

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Q: 1.) Let G₁ = £1₁ 1₁ i -i) be group of 4 Complex numbers under mutiplication. a) is £1, i} a subgroup…

A: Given group under multiplicationG = 1, -1,  i , -i  A subset H of G will be subgroup of G if H…

Q: given parameters a,b > o and the given sequence x₁= b X = n+1 4 (x₂ + 4a) n Xn a. Show that a b.…

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Q: Solve for the value of x. Points A and B are both centers of the given circles. 9 H 8 B

A: Solution

Q: For X and Y normed linear spaces, let {T} be a sequence in L(X, Y) such that Tn → T in L(X, Y) and…

A: For X and Y normed linear space  Let { Tn}  be a sequence in L(X, Y) such that Tn → T in L(X, Y)…

Q: region (levels: Northeast, North Central, South, and West) whether the respondent feels things in…

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Q: Determine whether each set is a vector space. If not, explain why. a) The set of all quadratic…

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Q: Use Laplace transform to solve the partial differential equation: d²u du ди(x,0) , t> 0, 0<x<1,…

A: Solution:-

Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

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Q: Use Laplace transform to solve the partial differential equation: o'y dy = +xt where y(x,0) = 0,…

A: Solution

Q: 28. Transportation A subway map is shown below. Is it possible for a rider to travel the length of…

A: The given problem is related with graph theory. A subway map is given. We have to check the…

Q: (ylny-exy)dx + ( + xlny) dy = 0

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Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 10. B с A E D C D B E

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Q: Find 2x2 matrices, A and B, such that AB = 0, but BA is NOT EQUAL to 0.

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Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 9. B C C A D D A B

A: Degree sequence for the first graph and second graph are respectively 2, 3, 2, 3 and 2, 3, 2, 3.…

Q: Write a note on Fourier Analysis for Composite Signals?!

A: Solution

Q: How many 9-bit strings start with 101 or end with 10 or both?

A: There are 9-bits, and we start with 101.It means there are 6 remaining bits.Therefore,there will be…

Q: Homework for Newton-Raphson 1. Find the positive solution of 2cos x = x until you find the six…

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: (.) I ху ff. f(x y). d) xerc find fr, fo التاريخ

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Q: u)n(p+u°О

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Q: Hi the equation for the cone is z^2= x^2 + y^2, and not z=x^2 + y^2, could you please do this…

A: Here we will use Cylindrical co ordinate system  x= r cosθ , y = r sinθ , z=zx2+y2=r cosθ2 + r…

Q: Q2/ The region bounded by the curve y = x² and the line y = 3x, in the first quadrant is revolved…

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Q: 2. What is the slope of the line tangent to the curve 8x3-y²=4 at the point (1,-2)? CAL normal line…

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Q: Compute the following Laplace transforms: Problem 12 (a) L{3t4 + 4t² - 6t+8} (b) L{4e-3t-sin 5t)}…

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Q: 28. Transportation A subway map is shown below. Is it possible for a rider to travel the length of…

A: We need to determine if it is possible to cover each edge of the graph without repeating. So,…

Q: The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a…

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Q: ) Find the closures of the following sets:     Q, the set of rational numbers   2) Show that the…

A: Solution