Discrete Mathematic - Graph Theory 1. Nine people are at a party. Explain why it is impossible for each of the nine party goers to have shaken hands with exactly five other party goers. Plz answer asap

Q: Given the geometric figure below with vertices and 8 lines: e a. Input the degree number for each…

A: Theorem (1) If a graph has more than 2 vertices of odd degree then it has no Euler paths.

Q: Use three-point midpoint formula to evaluate the first derivative of y = cot(x) at x = using a value…

A: We have to evaluate the first derivative of y=cotx at x=π2 using a value of h=π4 by using…

Q: Consider the following initial value problem GE: +6y=t LC:y (0) - 0.5 Carry out a single step of the…

A: Euler's modified method, approximate value of the differential equation

Q: t represents the length of the curve. Then use a calculator to find the length correct to the…

A: Introduction: The formula of the arc length of the curve y=f(x) from a to b is given by, Arc…

Q: find inverse Laplace transforms of {s^-3/2}

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Q: railroad bridge in one city has a low clearance for trucks. An engineer standing 24 ft away measures…

A: consider the following figures The point A is the top of the bridge D is the bottom of the bridge…

Q: Find an equation of the tangent plane and find a set of symmetric equations for the normal line to…

A: To find the equation of tangent plane.

Q: The parametric equations of a curve is * = cos(t), y = sin(t – t) (a) find the equation of the…

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Q: a. 4. True or False. Fill in the blank as appropriate. A derivative can be thought of as a rate. b.…

A: a) A derivative can be thought of as a rate - TRUE

Q: f(x) = x ln² x fonksiyonunun x 1 noktasında üçüncü Taylor polinomu P3(x)' i kullanarak f(2) değerini…

A: Given that fx=xln2x. We have to evaluate f2 by using the third Taylor polynomial P3x for fx=xln2x…

Q: polynomial

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Q: Kim Jones, Jan Robinson and Pat Smith are the officers of the spaceship. They serve as the craft's…

A: We know the following from the given 6 statements: There are three people on the spaceship named…

Q: Solve the problem. 11) The groundhog population of Punxsutawny, Pennsylvania is closely monitored…

A: Given that two years ago population decreased by 12% and then population increased by 6% and 9% in…

Q: Use right triangle ABC in the figure below and the Pythagorean theorem to find the length of the…

A: Here we use Pythagorean theorem to find this.

Q: Find the laplace transform of f(t) = 5t³ - 4t² +8 OF (S) = -8s³ +8s+30 OF (s) 8s³-8s+30 -88³ +88-30…

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Q: B=[(1, 2, 1)", (0, 1, -1)', (1, 1, 1)"] is an ordered basis for , C =[(1, 1)', (2, 3) '] is an…

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Q: Factor 10+ 4i into product of primes Z [i], (Hint: Ille= (2)(2)(29)) in %3D

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Q: Question Suppose that you are estimating sin (0.6) using the second Maclaurin polynomial for sin…

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Q: An airplane is traveling 340 mph at a bearing of 210⁰. a. Find the component form of the velocity…

A: Given that  Airplane is traveling 340 mph at the bearing of 210° Let the horizontal component is x…

Q: Prove that: Theorem 3: Let G be a group and let a be a non-identity element of G. Then |a| = 2 if…

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Q: Three vectors A, B, and C are related as follows: AB = 22180°, A + C= -5 + 15i, and C is the…

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Q: Write down the trigonometric Fourier series representation of the following signal: x(1),

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Q: Consider the following initial valae problem GE一=2 LC y (0) = 0.2 Carry out a single step of the…

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Q: i. The composite function r o q is defined for all x < 7. Note: r oq = r[q(x)] ii. The resulting…

A: This is a problem of set and function.

Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

A: We can form total cost, total revenue, and total profit functions from the given data.   If the rent…

Q: -5 1 Let y = -2 U2 = = In 4 -1 Compute the distance d from y to the plane in R spanned by uj and u2.…

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Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

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Q: Find the volume of the region defined by the vectors. -21 000 9 5 7 |> 5 Volume

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Q: 1 Find the inverse Laplace transform of F(s) = 2(s² + 25) %3D

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Q: #2 (Calculator Allowed) Let f(x)=203 and g(x)=Let R be the region in the first quadrant enclosed by…

A: Introduction: The formula of the area between two curve y=f(x) and y=g(x), where f and g are the…

Q: 1. A box with an open top is to be constructed from a square piece of cardboard 3 feet wide by…

A: Introduction: The volume o the cuboid of side lengths a, b, c is given by, V=a×b×c

Q: the matrix, list the real eigenvalues, repeated according to their multiplicities. 9 -3 0 4 3 0 4 0…

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Q: Use the Dantzig-Wolfe decomposition algorithm to solve the following problems: 1 max z = 7x1 + 5x2 +…

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Q: Represent the problem with Venn diagram and answer the question based on the diagram. show solution…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Suppose m, n ∈ Z + are relatively prime. The function f : Zmn → Zm × Zn defined by  f([Z]mn) =…

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Q: find the arca of he shaded regon. Ue a calcularor apter xmng up tde integal. cos 20

A: Let r1=cos2θ and r2=2cosθ. We know that a polar coordinate is represented as r, θ, where r=x2+y2 and…

Q: . Find the Maclaurin series for f(x) using the definition of a Maclaurin series. n=15(2 – r) -3

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Q: Let rexpl where u and v are deterministic fonctions. Let Find the SDE satisfied by Ze.

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Q: Select an Answer 1. -1 1 A = -2 0 ,v = 7 -6 1 -1 Select an Answer 2. 7 -2 12 -1 A = -8 1 -12 U = -4…

A: Here we have to determine if v is an eigenvector of the matrix A .

Q: express in polar coords with: Cりり me point whose Ty-Coords are a.r>o and OsoL2

A: Introduction: The polar coordinates r,θ of rectangular coordinates (x,y) in two-dimensional…

Q: Use Stokes' Theorem to evaluate ſc F. dr. C is oriented counterclockwise as viewed from above. F(x,…

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Q: Let M be the surface given by z = y^2 − x^2. Compute its Gaussian and mean curvatures at all points

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Q: y = cos(x) fonksiyonunun birinci mertebeden türevini x = noktasında h = olmakla ileri-fark yöntemini…

A: Given function is y=cosx. We have to evaluated the first derivative of y=cosx at x=π4 using the…

Q: A reservoir is 80m long and its cross section is an isosceles trapezoid having equal sides of 10m,…

A: Given that the reservoir is 80m long whose cross-section is an isosceles trapezoid with sides of…

Q: 16 The set of values of p for which f(x) = p²x - [24-² dx is increasing for all x € R, is (a) [4,4]…

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Q: Find the characteristic polynomial and the eigenvalues of the matrix. 3 - 7 7 4 ... The…

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Q: dy 7. Find by implicit differentiation. dx 8. Use logarithmic differentiation to find y'. 4x4y6 = y…

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Q: Question 16 6 -65 A₁ = 1.9, A2 = 0.9, A3 = 0.4, Vv₁ = -6, V₂ = -~-~- V3 , and xo = 11 -11 Consider…

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Q: Use the third Taylor polynomial P3 (x) for f(x) = x² + Inæ about o = O 1 000 1 and evaluate f(2).

A: Given that fx=x2+lnx. We have to evaluate f2 by using the third Taylor polynomial P3x for fx=x2+lnx…

Q: 4. A 2 kg mass is attached to a spring whose constant is 6 N/m, and the entire system is submerged…

A: Note: We are entitled to solve only one question at a time and up to 3 subparts only. As the…