Let G be a cubic graph on 100 vertices. Determine the diameter of the complement of G.

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Q: A corpus contains the following documents: Doc 1- Nice restaurant" Doc 2 - "Great food Doc 3 -…

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A: Given,       F(x, y, z)=4z2xi+43y3+tan(z)j+(4x2z-3y2)k use the divergence theorem to evaluate…

Q: 1.Prove that the product of two consecutive integers is divisible by 2.                   (Use…

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Q: i = -1+ y³ – y* ý = -I - y+ 2ry (1) (2) Find a Lyapunov Function Candidate of the form V = xª + dyP,…

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Q: 0) Use divergence theorem to evaluate the outward flux of the vector field F(x, y, z) = r³i+y°j+zk…

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Q: the choices. Please show complete solution. ABC is a right triangle at B. the point D lies on BC,…

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Q: 9. (a) Show that if n is an integer, then: -o3* (") = 4". %3D (b) Let n be a positive integer. Show…

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Q: (6) Find the center of mass of the lamina in the shape of the region bounded by the graphs of = x2…

A: Given: Let us consider the given region bounded by the curves y=x2,y=4. Here the mass density is…

Q: -3 -3 -41 Show that A = and B = 0. -3 0. -6 are similar matrices by finding an invertible matrix P…

A: *As this is similar matrix problem, hope you know how to find inverse of a matrix, multiplication of…

Q: 公キW+メ+2 4 V+ 2W+メ+4+2=5 サキ Wt 2X +yキ V +W +X + y + 27 = 8

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Q: h(t) = V3t – V2t²,t # 0. (Rationalize the denominator in your final answer.)

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Q: 7. Evaluate the upper and lower sums for [(1) - 2 + sin x, 051S 7, with 2, 4, and 8. Illustrate with…

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Q: 2 Solve the homogeneous system 3x1 + x2 + x3 + x4 5x1-x2+3-x4 0. %3D

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Q: If Pa is the Vector Space of poly romiels Of degee ss and Be is tho kctor of Spaco Of purynomals of…

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Q: Determine the real root x^3.5=80 use regular falsi method accurate to 4 decimal places..

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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: The equation of motion of a train is given by dv mk (1-e")-mcv dt m %3D where v is the speed, t is…

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Q: 1. Calculate the following Legendre symbols (i) using Euler's criterion, Jacobi symbols: 3 (a) 17 15…

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Q: Need ASAP. Thank you! 1. The angle of attack (?) of a wing-body combination varies with its lift…

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Q: Consider the system i1 = x – 2.x1x2 and i2 = –x2+ xỉ %3D a. Find the first few terms in the power…

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Q: Q1: Solve the following recurrence relation an = 4an-1 - 3an-2 for n 2 2, together with the initial…

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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: Problem No.2 Evaluate the determinant of the given matrix A= 1 3 4 -1 1 -1 4 0 1 -1 1 2 2 -1 3 2

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Q: Indicate the solution to the system of linear equations by typing your solution in the boxes…

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Q: 7. Let C[-7,7] be the vector space of continuous function over [-n, 1] with an inner product 1 (5,9)…

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Q: 3. Let A be an n x n matrix. Let (x, y) = x"y be the scalar product for R". (a) Show that (Ax, y) =…

A: Given that A is a n×n matrix. (a) We have to show Ax,y=x,ATy ∀ x,y∈ℝn.

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

A: For horizontal tangent slope of tangent is 0 and for vertical tangent slope 10 concavity of y=f(x)…

Q: 1. 4 + 10 + 18 +..... + n (n + 3) = [n (n + 1) (n +5)] / 3 for n e Z+ Use Mathematical Induction

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Q: Ive Partial Differential Equation (( ди ди = a?u_ifx=0, = a sin y and ду ax

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Q: Let A be an m x n matrix. Show that: ( a ) Ifxε Ν (Α'Α), then AxE R(Α) Ω Ν (A"). (b) N (AT A) =…

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A: Concept: Gross income = net income - deductions.

Q: Let C be the parametric curve defined by                         x(t) = t2 - 2;…

A: The given curve C is xt=t2-2yt=t3-3t+1. We need to find that the C is concave up or concave down at…

Q: let lly):xy"-x (42) y' + (x42)y a. Consider the homogenzous dipperential equation Lcy) = i the t y=X…

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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: 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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