Proposition 7.6.16 Let G be a self-complementary interval-valued fuzzy graph. Then D(G) = (1, 1).

Q: ∞ Exk, for |x|<1, to find the power series representation for the following k=0 function (centered…

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Q: x-6 Use f(x) = 6x and g(x) = - to evaluate the expression. 2 a. (fog)(4) b. (gof)( – 6) a. (fog)(4)…

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A: As per the question we are given a cubic equation as : x3 + d = bx2 And we have to : Show that if…

Q: Is it possible for two different (non-isomorphic) graphs to have the same number of vertices and the…

A: Answer :- Yes ,two non-isomorphic graphs can have the same number of vertices and the same number of…

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Q: According to a recent survey, the probability that the driver in a fatal vehicle accident is female…

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Q: An employee wants to invest ​$60,000 in a pension plan. One investment offers 5​% compounded…

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Q: 2xyy' = y² = x²

A: We can solve the given differential equation.

Q: Use Taylor's Theorem with n = 2 to approximate √1+x, x>-1.

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Q: A shallow vessel for a chemical process is required in the form of an inverted cone, where the…

A: We will find capacity in a single variable and then use calculus to maximize it by using following…

Q: A waveform is periodic with period 2x and over one cycle is defined by 0 { -<t≤0 0<t≤ x/2 -3 5 π/2…

A: Given that  ft=0-π&lt;t≤0-30&lt;t≤π25π2&lt;t≤π The complex Fourier series of f(t) on -π,π is given…

Q: Let a be a real algebraic number of degree n > 1. Then there exists a constant ch that امام

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Q: Total personal income of the country (in billions of dollars) for selected years from 1956 to 2001…

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Q: years. When air is released from an inflated balloon it is found that the rate of decrease of the…

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Q: Let C denote the positively oriented circle |zi| = 2. Evaluate the integrals: a) z + 2z (z-1)³ dz

A: The given problem is to evaluate the given complex counter integral over the given counter C:|z-i|=2

Q: 2 2 !(GHC)). i+ y xy² Evaluate the integral joining (2, 1) to (5, -3). Enter an exact answer.…

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Q: Find the Jacobian of the transformation x = · 3u − 2v, y = u² + 3v.

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 ਪੰਜਾ + 1 e dx

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Q: Note: Round all answers to the nearest cent when necessary. Calculate the amount financed, the…

A: Purchase (Cash) Price Down Payment Amount financed Monthly  Payment Number of payment Finance…

Q: Mutation accumulation When a population is subjected to a mutagen, the fraction of the population…

A: The mutation accumulation function is given by , ft=1-e-μt.Here μ is the mutation rate. Population A…

Q: Question 2. Solve the differential equation (x + 1)y" + xy' - y = (x + 1)². Write your answer in…

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Q: 6 Let ---B = -8 by T(x) A - a 1 b₁ 8-0- a2 X b₂ az b3 = v x x. = a₂b3-a3b₂ a3b — abვ La₁b₂-a₂b₁_ 3…

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Q: Let C denote the positively oriented circle |z- i = 2. Evaluate the integrals: ΠΖ [ dz 2 CZ +4

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Q: This graph shows the number of calories burned while riding a stationary bike. 100 80 60 L 40 20 4…

A: the meaning of the point (8,32) is: in 8  minutes, the number of calories burnt is 32.

Q: solve for the de using inspection 2ydx + x(2+x²y)dy = 0

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Q: If the first 4 terms in a gp are 3, -6, 12, -24 what you is the common ratio

A: Given 4 terms of G.P. 3, -6, 12, -24

Q: Find two different parametric equations for the rectangular equation given. y=4x-1 (a) Substitute…

A: Here we have to find two different parametric equations for the given rectangular equation:  1)…

Q: The following table shows the results of a survey of MPC students. You select a student at random.…

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Q: 6.11. (a) Prove that G acts transitively on X if and only if there is at least one x Є X such that…

A: Note that 6.20 is not attached here, So we proceed according to the definition which is standard in…

Q: F F. dr of conservative vector field F(x, y, z) = Calculate line integral from (-4, 2, 1) to…

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Q: Given that the vector field F= (x²,y²,z²) is conservative, which of these represent a valid…

A: This is a problem of Vector Calculus.

Q: The complex Fourier series representation of a periodic function of period 27 is given by 00 Fs(t) =…

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Q: Define an even periodic extension of f(t)=1+3t, 0<t≤6 and hence find its half-range cosine series…

A: The given problem is to find even period Fourier series expansion of the given periodic function and…

Q: Corollary 6.1. Let & be a real number defined by ε = n=1 Then number is a transcendental number. 1…

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Q: 2 G, + C = 0 - 1+52 C, -1-52 C2 find сест - -0

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Q: Find the Jacobian of the transformation: x = 10. es+t y = 3.es-t Jacobian (in equation form) = Hint:…

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Q: Let A be the matrix below and define a transformation T:R³→R³ by T(U) = AU. For each of the vectors…

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Q: Given that the Laplace transform of f(t) is s-3 s²2s +1 F(s) = = then the Laplace transform of…

A: Given that the Laplace transform of f(t) is  F(s)=s-3s2-2s+1 Then the Laplace transform of  f(t)e-2t…

Q: If the statement is true, write a complete step-by-step proof of the statement. If the statement is…

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Q: Show that (1,-3,-1) (-3,4,2) independent of path: ST 38 D 38 58 58 Əh ?z Əh ?x || || 11 || ƒ dx +…

A: We will use partial derivatives ( differentiating with a single variable by considering all other…

Q: In problems 37-40, find a Power series representation for the given function centered at x = a. f(x)…

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Q: ¹ (C) - · *(B) -· ¹(A) - A D T = T = T Find the matrix A of T. A = ||

A: Given that              T100=75,  T010=64 and  T001=80

Q: Let i, j, k, n be positive integers. Suppose that a total of i + 2j + 2k people need to pay a bill…

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Q: (4) In a certain community, 30% of the population has graduated from college, and 20% of the…

A: Answer

Q: The surface area of a right-circular cone of radius r and heighth is S = πr√² + h², and its volume…

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Q: a. Approximate the given quantity using Taylor polynomials with n = 3. K b. Compute the absolute…

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Q: y is related to x through the differential equation: dy dx = ax + bx² + dx³ and y = c when x = 0…

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Q: Problem 5. Consider the tree drawn below. a b e f i a. Suppose we designate vertex e as the root.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we we will solve first three…

Q: Problem 2. [1 122 Let A = 1 2 1 2 3 4 5 6 Please give a 4 by 4 orthogonal matrix V = [V₁ V2 V3 V4]…

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