Problem 1: Prove that any (simple) graph with |E| < |V| –- 1 is disconnected.

Q: Use Gaussian elimination in matrix form to solve the system. x + 2y – 4z = 5 2x + y – 6z = 8 4x – y ...

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Q: A matrix A can have many row echelon forms. A True B False

A: We know that , Row echelon form is any matrix with following properties. All zero rows (if any) belo...

Q: Consider a tournament between N teams, each team playing each of the other teams. 1) How many games ...

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Q: 1) How many possible ways are there to match or pair vertices between A and B?

A: For any queries please let me know through comments. I will try to reply ASAP! Please upvote if sati...

Q: Find a general solution to the given Cauchy-Euler equation for t> 0. dz +13t +36z =0 dt2 dt

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Q: Suppose that ) an is a convergent series, with positive terms (i.e., an >0 for all n). n=1 In an (a)...

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Q: Let X= {x, y, z, 19, 20, 21}), Y = {y, m, n, 19, 21, 23}, and Z= {y, m, 20, 21, 23}. List the member...

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Q: If A and B are nxn matrices, then (AB) ²=A²B²_ A True B) False

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Q: Expand f(r)= if <<0; if 0< <T in a Fourier series. Plot what the Fourier series converges to.

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Q: Consider a quadratic interpolating polynomial g(x) obtained by Newton's divided difference method on...

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Q: Explain how many intercepts the following trigonometric function has for -2T < x < 0, and determine ...

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Q: 6 -2 1 Use Gauss-Jordan Method to find the inverse of -4 1 -1 1

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Q: えゅ+ 3×は) + 2×り =0 Draw the phase - plane portrait with some ypteal tragedertes.

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Q: -2 1 se Gauss-Jordan Method to find the inverse of |-4 1 -1 1 1 6

A: We have to find the inverse of given matrix using Gauss jordan method.

Q: -2 Use Gauss-Jordan Method to find the inverse of -4 1 -1 1 1

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Q: Laura wants to accumulate P150,000 in her bank account by depositing P1000 at the beginning of each ...

A: We know that , Annuity  formula is given by ,  A =  P1 + rnnt - 1rn Where ,  A = Amount after t year...

Q: Differentiate. y= In [(x+7)* x + 8)®(x +2)°] dx

A: Given y = ln(x+7)4(x+8)6(x+2)3

Q: Мах 12х, + 18х, + 10х; s.t. 2х, + Зх, + 4х; 0 х, - 1.5х; > 0 X1, X2, X3 > 0

A: Solving using Simplex method. Converting the problem into standard form by introducing slack, surplu...

Q: Assume Pis the point (2,-5,-5). Suppose that the Point Po (4,2,6) is ķ of the Deter mine what point ...

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Q: (a) A firm produces two product brands, the quantities of which are x1 and x2. The demand for brand ...

A: given profit function πx1,x2=30x1-3x12+5x1x2-2x22+10x2 where x1 , x2 are quantities (iv) solve for t...

Q: Finish labeling the number line. +++ -2 28

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Q: Show directly that the given functions are linearly dependent on the real line. That is, find a nont...

A: Use the given information.

Q: [1 Which of the following values of a will make 2 Lo 2 2 a non-invertible? (А) 1

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Q: Let o be a fixed odd permutation in Sn. Show that every odd permutation in Sn can be written as a pr...

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Q: Financial analysts forecast Safeco Corp's (SAF) growth rate for the future to be 8 percent. Safeco's...

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Q: onsider the following sets: U= (1,2,3,4,5,6,1,8,9, 10), A = (2,4,6,8,10), and B= (1,3,5,7,9)- Which ...

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Q: px/2 . Let F(x) = | f(t) dt and G(x) = | g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are be...

A: According to the given figure functions fx=0.5, 0≤x≤23x-5.5, 2≤x≤33.5, 3≤x≤6 and  gx=1, 0≤x≤22x-3, 2...

Q: 0 0 0 A =3 3 0 3 3 0 has two real eigenvalues, one of algebraic multiplicity 1 and one of algebraic ...

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Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (2, 4, 6), (6, 3, 2)}...

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Q: Chooes A and B are positive semi'definite matri ces then the eigen values of A•B are all non negati ...

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Q: Simplify down to a single integral in terms of . .3 /9-x² 63–42²–4z² Volume = 1 dy dz dx = Σ da. V9-...

A: ∫-33∫-9-x29-x2y3x2+3z263-4x2-4z2dzdx

Q: A police department for some city has 108 new segways to be apportioned among six precincts. The dep...

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Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

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Q: Decide whether or not the method of undetermined coefficients can be applied to find a particular so...

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Q: Let v and w be two vector spaces and let T:V->W be a linear transformation. Suppose that α is a basi...

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Q: What is the maximum number of edges possible for any bipartite graph between A and B?

A: The main objective is to determine the maximum number of edges are there in a bipartite graph.

Q: field in the wire? 10. What length of a certain metal wire of diameter 0.15 mm is needed for the wir...

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Q: By using triple integrals, find the volume of the solid G bounded above by plane 2x+y+z=6 and below ...

A: The equation for the triple integral for calculating the volume is ∭GdV, where dV=dxdydz is the infi...

Q: (e) If you do not attend class, then either you read a book or you will not pass the eram. (f) I am ...

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Q: ition, finc ations (u

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Q: If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates o...

A: For a triangle, the coordinates of the centroid is also given by the average of the coordinates of m...

Q: Find the center of mass and the M 2 dr ncit

A: Given, the curves          x=y2, and x=2y-y2 and density function ρ(x, y)=1+y          

Q: Let A and B be 2 x 2 matrices. The equation (A – B)(A + B) = A² – B² is correct. ... A True B False

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Q: The ozone layer is located approximately at a height of 100 km from the surface Consider that our pl...

A: We will use derivative to find approximate changes in volume using change in thick ness of ozone lay...

Q: Given f(x) = -3x + 3 and x = 4r In (3s). Find f, (2, 3). Give your answer correct to two decimal pla...

A: fr=∂f∂r=∂f∂x×∂x∂r fr=∂f∂r=-3×4ln(3s) fr(2,3)=-12ln(3×3) = -26.36669493

Q: Let A be a 5 x 5 matrix and |A| = 3. The determinant of 2A is equal to ... А) 48 В) 96 D) 32

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Q: What is the solution of the equation valid near the origin fir x>0? x2y''+x(x-3)y'+4y=0

A: Given:-x2y''+x(x-3)y'+4y=0...(1) To find:- solution of the equation valid near the origin. y"+x-3xy'...

Q: determine the inverse laplace transform of the function 1. 3/s+2 2. s+4/s^2+4

A: 1. Given,          3s+2

Q: For the demand function q= D(p)%3D V385- p, find the following. a) The elasticity b) The elasticity ...

A: Given : D(p)=385-p .

Q: [1 0 1 2 31 [1 l4 5 6 l.c = 6 1, and V = |1|. What is the sum of the entries of ihe Let A B = matrix...

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