I Example 4.13. Using Jacobi's method, find all the eigen values and the eigen vectors of the matrix 2 A =V2 3 J2 2 1

Q: Use the Laplace transform to solve the given initial-value problem. у" + 2y" - у' - 2у %3 sin(3t),…

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Q: If m*n denotes Im-n2 find the value of j. 3* (2*1)

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Q: Write the statement in words if: p: Firemen work hard. q: Firemen wear red suspenders. 4) ~(q ⋁ p)…

A: We have to write the statement in words.

Q: Consider the following model: price = Bo + Bilotsize + B2sqr ft + u Assume that the error variance…

A: The given model is  price =β0+β1 lotsize +β2 sqrft +u. The given error variance is…

Q: A bacteria culture initially contains 1600 bacteria and doubles every half an hour. Find the size of…

A: Solution:

Q: A coin is loaded so that the probability of a head occurring on a single toss is 23. In four tosses…

A: here we will use Binomial distribution   A binomial distribution is simply the probability of a…

Q: 8 Given the matrix G = -4 and do =| Then do and d, are G – conjugate if di is given by

A: Conjugacy:  Let G∈ℝn×n be a symmetric and positive definite matrix. We say that the vectors x,…

Q: 3- For any R-module ,let M [x]denote the set of all polynomials in x with coefficient in M, that is…

A: Sol

Q: Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line…

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Q: Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of Rª spanned by #,…

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Q: 4. A line passes thru (5, 11) and cuts a right triangle with the coordinate axes in the first…

A: (1) Equation of a straight line passing through the point (x1,y1) is               y - y1 = m ( x -…

Q: Evaluate t=0.01, Given: 21' + 20I = 100sin(150t) Round-off to 3 decimal places.

A: Given differential equation is2I'+20I=100sin150tI is evaluated at t=0.01 as shown below.

Q: Use the graph G below to answer the questions. V1 v2 ei e2 V3 V7 ез eii e6

A: If two vertices are connected by an edge, then the vertices are adjacent Therefore the vertices that…

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

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Q: В -21 72 57 65 29 G 16 84 -33 -19 D 91 25 81 47 102

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Q: d?y 20 +y = x²e3x. dy 1. Solve by D operator method dx2 dx

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Q: Let М — 2 Find formulas for the entries of M", where n is a positive integer. 2·4" – 3" 2(-4)"+2· 3"…

A: The solution is given as

Q: terences of BOTH as be givern by log(Ci) +¿ 1og(C2). that (5, 10) and wB ring price and the…

A: Sol

Q: Describe the graph of the equation. r = 2 cos t i - 9 sin t j + k O An ellipse in the plane z = 1,…

A: Equation of an ellipse and center

Q: Taytay, Cainta, and Antipolo are municipalities in Rizal. The Municipalities places form a triangle…

A: Solution

Q: Find the 3rd degree interpolating polynomial by Newton's backward formula X f(X) Af(X;) A²f(X;)…

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Q: p:I bought a lottery ticket this week. q: I won the jackpot on Friday. 3. Let p and q be the…

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Q: ent vectors are wA (5, 10) and wB = (10, 5). Solve for the market %3D

A: Sol

Q: 3. Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. (a) Find all point(s) of…

A: (a) C1: r = 3cos(θ) and C2 : r= 1+cos(θ)For point of intersection , equating equation of circle and…

Q: references of both individuals be given by log(Ci) + ¿ log(C2). Suppose that ndowment vectors are wA…

A: Sol

Q: 2. Using the given pairs of x and f(x), construct a an appropriate table (difference or divided…

A: We have to find f(5) and the equation of the polynomial that will fit the given points.

Q: Describe the graph of the equation. r = 16 cos ti + 7 sin tj – k O It is an ellipse in the x = -1…

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Q: Find the eigenvalues A1 < A, and associated unit eigenvectors ū1, ū2 of the symmetric matrix 6 A 6…

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Q: 1. Solve by D operator method - 2y+y x²e3* d?y dy . dx2 Solve by method of variation of dx 2. d²y…

A: According to our guidelines we can answer only one question and rest can be reposted.

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

A: Sol

Q: eration due to gravity on Earth's surface is g = 9.8 m/s². Let x be the height (in m) measured from…

A: Sol

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

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Q: product = (detA)(detB) an Inner Product? Prove or give a counter-example ning which specific…

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Q: Complete the integral(s) that defines L{f(t)}. L{f(t)} = dt+ dt Find L{f(t)}. (Write your answer as…

A: We have to find the laplace transform.

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: Here r(t) = etcost i + etsin(t) j + et k

Q: 2.Use polar coordinate to evaluate 1 SS dA where Ris the region bounded 2 1+ x + y R by circles each…

A: Double integration by using polar coordinates

Q: Tell whether or not the statement is always true for a particular finite geometry. Statement 3-Point…

A: Given,Statements are given in the tabular form for a particular finite geometry. To check whether or…

Q: How many terms of the series (-1)" 1 + 2" n=1 are needed to compute the sum of the series with an…

A: To find the number of term such that the error is less than 0.001 .

Q: Trees Draw a tree on 6 vertices where all but one vertex has degree 1.

A: We have to draw a tree of 6 vertices.

Q: QUESTION 4 Let V be a vector space of dimension 2n > 2 over R. (4.1) Show that a complex scalar…

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Q: Describe the graph of the equation. r = - 181 + (1 – 12)j + t k O It is a parabola in the plane x =…

A: We need to describe the graph of the parametric equation r=-18 i+(1-t2)j+t k.

Q: Solve by D operator method d²y - 2y +y = x²e 3x dy dx2

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Q: 2. Solve the following Cauchy problem: u, + 2ru, - u=a+3ye" with u= 2r - 1 on y=-

A: We have to solve the given Cauchy problem.

Q: A caterer offers 3 kinds of soup, 7 kinds of main dish, 4 kinds of vegetable dish, and 4 kinds of…

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Q: y = Convert the polar coordinates to rectangular: (- 3, 300°).

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Q: Draw a bipartite graph with a vertex partition into the two sets {v1, v2, V3, V4} and {v5, v6, v7}…

A: This is a problem of graph theory.

Q: show that (0.1)with usual topology is connected

A: Sol

Q: 5. How much water must be added to 200 kg of concentrated orange juice with 65% solids to produce…

A: (5) it is known that mass of solids in concentrated orange juice mass %=mass of solidsmass of…

Q: Question 4. Use Taylor's Theorem to estimate sin(3) to within 1/60.

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Q: y2 =1 is rotated about the x axis to form a solid shape. A cylindrical x2 7. The ellipse with the…

A: We will use disk method to find volume of solid formed by rotating the ellipse and then volume of…