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

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A: Sol

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Q: (-1)" Σ 08. Fact: the series S = converges by virtue of the Alternating Series Test. n n=1 According…

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Q: (1, y' + 5y = f(t), y(0) =0, where f(t) = 0st<1 %3D t21

A: Solve the intial value problem using Laplace transferoms

Q: -3 Given v = 9 10 find the coordinates for v in the subspace W spanned by 2 1 4 u1 = 2 U2 = and uz…

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Q: QUESTION 2 a b Let G : a,b,c ER, a= 0 and c 0 1 b : 0 1 bER Given that Kis a subgroup of G. Let K…

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

A: We have to draw graph of the image under T of the unit square.

Q: fn ingot of mas 118 coatains oper ting and ju thẻ patio 9:4:1: (alcuate the alve f the the prie per…

A: Total mass of Ingot = 1148 kg The ratio if weight of copper , tin and lead is 9:4:1 Therefore weight…

Q: 20​ years, what is the probability that out of 3 couples just​ married, in the next 20 years ​(A)…

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Q: Q11. Suppose z = f(x, y), x = g(t), and y = h(t) satisfy: g(7) = 2 h(7) = -2 f2(2, –2) = 2 g'(7) =…

A: Solution

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

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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: Suppose ū = 2j + k, ū = 2i – 4j + 2k and w = -5i – j+ k. %3D Compute the following values:

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Q: Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

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Q: 2x2 + xy + 2y2 - 4 = 0

A: Follow the steps.

Q: equations, use phase flow, initial conditions, ndicate x and y nullclines and equilibria. (if…

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Q: EXAMPLE 4.4 Ans: 3 Given the following data: -1 3 y3Df(x} Approximate f(2) by using Newton's divided…

A: We approximate f(2) by using Newton's divided difference interpolation.

Q: Consider the Sturm-Liouville system y" + 2y + (1+)y = 0, y(0) = 0, y(L) = 0; 0 0 is a non negative…

A: Given the Sturm-Liouville problem y"+2y'+1+λy=0, y'0=y'L=0, 0&lt;x&lt;L. Also, λ≥0 is a non-negative…

Q: QI) Evaluate the integral dy dx using polar coordinate

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

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Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A: Given Red marbles = 8 Blue marbles = 7

Q: Let -27 -3 1.5 5.5 -4 6 1 -37 Use the Gram-Schmidt process to determine an orthonormal basis for the…

A: We have to determine an orthogonal basis using the Gram-Schmidt process for the subspace of ℝ4…

Q: Perform the Gram-Schmidt process on the following sequence of vectors. i = |8, -2 8 -5

A: Given sequence of vectors arex→=488, y→=-4-2-5, z→=1-15The Gram-Schmidt process on the following…

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. а 3 (6, 2, -2), ь 3 (о,…

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Q: Find a basis and dimension of the solution set to the system 2.x1 + x2 + x3 + x4 = 0 2.x1 – 3x2 –…

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Q: 4) Find the eigenvalues and eigenvectors of the given matrix A = =

A: We have given a matrix , A = 5-29-6 First we will find Eigenvalues of matrix. For that , consider ,…

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

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Q: At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is…

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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: 7 Point G(-2, -6) is reflected in the x-axis. What are the coordinates of G'? 8 5/2, then translated…

A: 7) Here given that, Point G(-2,-6) is reflected in the x-axis. What are the coordinates of G'? We…

Q: QUESTION 6 Find the order of ((2 3 4), 15) in A4 ×Z18- For the

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Q: Solve the following equation in the complex number system. Express solutions in both polar and…

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Q: Let G be the transitionmatrix to the eigenbasis of M so that a 0 0 M = G0 b o G-1 0 0 c If columns…

A: We have to find the determinant of the matrix G

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: To find- Find the volume V of the solid obtained by rotating the region bounded by the given curves…

Q: Let -3 -9 A = -3 -8 1 Find an orthonormal basis of the image of A.

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Q: Evaluate the surface integral. y ds S is the surface z = */2 + y3/2), o s x < 4, 0 s y s 3

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Q: Let F be a field of characteristic p > 0. Show that f = t* + 1 € F[t] is not irreducible. Let K be a…

A: Irreducible functions are those cannot be simply factored into two parts f=t4+1 it can be written as…

Q: Formulate a linear programming problem that can be used to solve the following question. An…

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Q: Rose Garza's regular hourly wage rate is $12.00, and she receives a wage of 1½ times the regular…

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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: A22. Z is a Tx7 natrx and it has exactly 3 eiganvalves: l,4 and 5. If E1, Ey and Es are of the Same…

A: Given a 7x7 matrix with 3 eigenvalues 1, 4 and 5, and dimensions of each eigenspace is same.

Q: Ref for convergent lom to (Xn)neN ) Xx = lim X cL C1), LER. %3D n→め Strow for any sequen ce of…

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Q: A family has three children. Assuming that boys and girls are equally likely, determine the…

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Q: A company sell the car batteries for $105 each. They paid $2500 for a licensing fee and will buy…

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Q: John sells decorated eggs on Easter. Each egg costs him $2, and John can sell the decorated eggs for…

A: Given: The cost price of the egg=$2 Selling price=$5 Salvage price=0 Mean=80 standard deviation=12.

Q: Find partial derivative, zg and Zy for the following function: e 2x²+3y Z =

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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…