Reduce the quadratic form x2+y²-9xy into a canonical form of the matrix.

Q: 1. 3) Find the eigenvalue and eigenvector of matrix A =1 2 3 -1

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Q: 12. Consider the very accurate map below. We want to color these six countries so that no two…

A: Solution: a) Using 3 colours it is not possible. First thing we shall observe that a single color…

Q: 6. Use Laplace transforms to solve the initial value problem, 4t, 0<t<1 y' +2y = f(t), y(0) = 0,…

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Q: Q12 i Q12. Let R be the region that lies between the curve y = x2/3 and the x-axis on the interval…

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Q: d'y 1. Solve by D operator method dx2 dy - 2y+y = x²e 3x d?y dx Solve by method of variation of…

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Q: Suppose a, > 0, bn > 1 and lim an = 0, lim bn = 1. n-00 n-00 Define An = {x : an < x < bn}. Find lim…

A: We have to find limn→∞supAn and limn→∞infAn

Q: Exercise 93. Use what you know in the previous problem and the fact that the vector field F is…

A: We have to evaluate ∫CF·dr  where F=&lt;excosy,-exsiny&gt; and C is rt=&lt;t,t2&gt;, 0≤t≤2

Q: Find a 2 x 2 matrix A such that and are eigenvectors of A with eigenvalues 10 and –7, respectively.…

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Q: .Construct a truth table for each of the following compound statements. (a) (p^q) → q. (b) (¬p) → (p…

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Q: Using Legendra polynomia lsFind 9quadratic least-square approximation For cosh Cx)

A: We have , fx = coshx We know that , the quadratic approximation of  least square polynomial is given…

Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

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Q: 1 Find the eigenvalue and eigenvector of matrix A = 1 li -1 3

A: Eigenvalues and eigenvectors are connected in linear algebra. Eigenvalues are a set of scalar values…

Q: orientation of the graph. n f k d. 60

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Q: Find a matrix P such that P'AP orthogonally diagonalizes A. Verify that P'AP gives the proper…

A: As this problem is related to orthogonal diagnolization of a matrix, hope you know how to find…

Q: Incidence Matrices the Incidence matrix of the graph below. V1 v2 es ei e2 e6 V3 V4 ез e4 V5 G

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Q: A manufacturing process produces a critical part of the average length 110 ​millimeters, with a…

A: Given: We have given critical average length 110 with standard deviation 2. We need to calculate…

Q: 2. Solve for x: (6x+26)° (16x) 5. Find m21. (12r +14)° (15x-13)°

A: This question related to angles when two parallel lines cut by transversal.

Q: A Living a pom is 7:2m fog and 15 m wide. what ire gresesd wald 7 be of a joale plan qucun p a feale…

A: The given length of the room is 7.2 m. The given width of the room is 4.5 m. We need to find the…

Q: The probability that​ brown-eyed parents, both with the recessive gene for​ blue, will have a child…

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Q: In a standard deck of 52 cards, how many different four-card hands can be formed with at most 2…

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Q: If two dice are rolled, find the probability ofshowing a sum of 7 or 11 ? O 1/18 O 7/36 1/4 O 2/9

A: We have to find the probability of showing the sum 7 or 11

Q: Determine two linearly independent power series solutions centered at x = 0. y" +2x²y'+2xy = 0

A: We determine two linearly independent power series solutions of the given differential equation…

Q: 6. Given vectors spaces V with bases B and E and W with basis D and a linear transformation T:V→ W,…

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Q: e3 sin 2rdr. Use Gaussian Quadrature with n = 4 for the integral Jo Area = 2.16653 X 2.5886327

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Q: best possible feasible relationship graph pf k5 and it corresponding floor plan

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Q: Consider the IVP: x" + 3x' +2x = 4t2; x(0) = 0, x'(0) = 0. Find the general solution. 4 6. 7 + s+1 8…

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Q: 1.5 4. Use a suitable numerical method to estimate (xsin (x²) + 4)dx using 10 ordinates. Use at…

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Q: the following: ve that for all k EN and x > 0, g(k)(x) = PkC e-1/x, for some polynomials på 9k(x)…

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Q: 5. ints) Let v1,..., Un be vectors in a vector space V. Suppose w is another vector in V. Determine…

A: To prove: :  Span(v1,.....vn)=Span(v1,v2,....,vn,w), if and only if  {v1,v2,......vn,w} is linearly…

Q: Evaluate (107/137). You may assume without proof that 107 and 137 are prime numbers. Show all of…

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Q: = e* sin dx2 dx dy + 4x dx 3. Solve the Cauchy-Euler equation x 2 d?y + 2y e*. 4. Evaluate (cin t…

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Q: Find an equation of the plane. the plane that passes through (8, 0, -1) and contains the line x = 5…

A: The equation of plane through a point and contains a line

Q: Find the Inverse Laplace Transform of the following functions 1 2) F(s) = s'+4s

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: For the data { 8 , 9 , 13 } , what is the sum of the " squared deviations " ?

A: The mathematical average of two or more numbers is called the mean. Add all the observations and…

Q: Euler Paths and Circuits Use the theorems for Euler paths and circuits to determine if the graphs…

A: The Euler paths or circuits of the given graphs are determined by using theorems as shown below.…

Q: Given the vertex set, edge set, and endpoint table below, graph and label the following graph. V(G)…

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Q: parameter dx2 = e* sin x. Solve the Cauchy-Euler equation x2 dx dy + 4x 3. + 2y = e*. 4. Evaluate L…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: PART CHALLENGE Convert the equations below from polar to rectangular. rcos(0) sin(e) 2 1. r 3 2. r =…

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Q: Find A the 3rd power of the adjacency matrix for G. Then answer the questions. V1 v2 es ei e2 e6 V3…

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Q: A woman standing on a cliff is watching a motor boat through a telescope as the boat approaches the…

A: Let, the angle θ is an acute angle made by telescope and the vertical. The distance between the boat…

Q: d?y 2y+y = x2e3x dy 1. Solve by D operator method dx2 dx 2. Solve by method

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Q: Consider the system x= 3x²+2y, y=ax2+ pxy+ yy². where B. and y are some constants. Choose values of…

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Q: Find the best approximation to z by vectors of the form c,v, + C2V2. 3 1 - 6 2 - 1 V2 = - 3 3 1 The…

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Q: Write an equation for the function graphed below. Use the smallest powers possible to meet the…

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Q: Suppose F(x, y, z) = (x + yz, 3 cos(xz) – 7y, 5z + eª). Suppose S is the ellipsoid y? 22 4 9. 16 k…

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Q: 6) Graph the transformation of the unit square using T(x) = Ax and A = 3 4 2.

A: Transformation of the unit square

Q: x3 – 2x? – 5 = 0, [1,4]

A: The given equation is x3-2x2-5=0. We have to find the root of that equation by Newton -Raphson…

Q: Find the eigenvalues A1 < A2 and associated unit eigenvectors ü1, ủg of the symmetric matrix 7 61 A…

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Q: Find the eigenvalues A1 < A2 < Ag and associated unit eigenvectors u1, ủ2, üz of the symmetric…

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