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Q: Exercise: Let u = [3, −2, 1], v = [1, 1, 1] and w = [2, -2,0]. The area of the parallelogram formed…

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Q: Linear algebra: please solve q18 correctly and handwritten. Theoram is also attached

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Q: The figure below is the graph of a sinusoidal function C(x) with midline y = 6 and a minimum value…

A: Given that the graph of a sinusoidal function with midline anda minimum value of 1.…

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Q: Let 3 A = -1 -1 3 -1 -1 3 (a) Find a matrix P that orthogonally diagonalizes A. (b) Find B = P-¹AP…

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Q: then T If T: R³ R³ is a linear transformation such that -5 *(Q)-⠀··(8)-¦··(8-E] T T T 2 0

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Q: Suppose A is a 2 x 2 matrix that has a repeated eigenvalue A with linearly independent eigenvectors…

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Q: Identify the conic section represented by the following equation by rotating axes to place the conic…

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Q: 1. Given that Pn(x) flrol+flro, z1](z-ro) + a₂(x-xo)(x-T₁) +as(x − To) (x − x₁)(x − x₂) + ......+ an…

A: Let  be the values of  corresponding to the arguments . Then from the definition of dividend…

Q: Problem 1. Let A = {a,b,c}, B = {1,2,3}, and C = {2,3,4}. Find (1) AX (BUC) (2) (A x B) U (A x C)…

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Q: 7) A student is enrolled in four courses that require submission of projects covering different…

A: As per the question, a student faces the challenge of optimizing project choices across four…

Q: Solve u = = Au, where A -2 1\ -1 0

A: Solve the system of differential equations given in matrix form for the general solution. We do this…

Q: In the previous part, you developed the Method of Disks for computing the volume of solids of…

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Q: Problem #2: Consider the following matrix A and column vectors K₁, K₂, and K3. Problem #2(a):…

A: Given that    The eigenvectors of A are        Let  are corresponding eighenvalues of A. Then…

Q: .,Let ₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace…

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Q: For the following functions, find their amplitude, period, frequency (reciproca period), and the…

A: To find the amplitude, period, frequency, and velocity amplitude for the given functions,

Q: It took amari2 bhours to paint 14ft of a 70 foot long fence.  What percent of the fence have they…

A: It took Amari 2 hours to paint 14ft of a 70 foot long fence. What percent of the fence have they…

Q: ould you please help me answer this question: Show that each of the following are not inner products…

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Q: Solve non-homogeneous equation: y" - 9y=-xcos3x

A: We have to solve non-homogeneous equation:y" - 9y = -xcos3x

Q: Show that (-6,0) -10,-1) independent of path: af |ss|8 dy ag əx = = (-6,0) (-10,-1) (-6,0) (-10,-1)…

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Q: Consider the graph G with the adjacency matrix: 0 G is a tree. G is planar. ✔G is connected. 0 G has…

A: Let  is a vertex set of graph.Then using these vertices adjacency matrix can be expressed as

Q: Use Lloyd's algorithm for k-means on the following: For k=2, given the initial partition To = { I1,…

A: K=2To compute cluster centroids and the next partition.

Q: 4. (i) Show that 2 is a primitive root mod 11² = 121. Hint: Use the criterion given by Lemma 6.4 and…

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Q: Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: + -1 TT T + T -1 4 (a) Find a matrix P that orthogonally diagonalizes A. (b) Find B = P¹AP using the…

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Q: 4. Find a rational and an irrational number between 71.8094 and 71.8095.

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Q: 3. Here's a way to evaluate due to Euler. We've seen that sin 72 TZ - k² ·ÎI (¹-³). j=1 (a) Equate…

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Q: Let X = {−1,0,1} and consider the inner product on F(X) defined as follows: ⟨f, g⟩ = f (−1)g(−1) +…

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Q: Find the radius of convergence, R, of the series. R = 00 I = W n = 1 7n n! Find the interval, I, of…

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Q: Let P, denote the vector space of polynomials in the variable æ of degree n or less with real…

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Q: the following table. t (hr) v (mi/hr) 0 30 0.25 0.5 0.75 30 50 50 1 45 1.25 1.5 1.75 60 30 50 2 80

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Q: Let G be a connected graph. Prove that G is Eulerian if and only if each of the blocks of G is…

A: The objective of the question is to prove that a connected graph G is Eulerian if and only if each…

Q: Let A = 3 −1 0 0 −1 T300 003 T −1 0 0 -1 3 (a) Find the characteristic polynomial of A. (b) Find the…

A: Introduction: The characteristic polynomial of A is defined as function  and the characteristic…

Q: 2. Find the inverse Laplace of the following functions using Convolution Integral. a) Leave your…

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Q: Use this equation, b b [ sin² kx dx = cos² kx dx = (b − a) S a a To evaluate the following integral…

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Q: need to derive the laplace transforms. Using L {[= (6) } = s e-v² F(t) at dt Above instructions.…

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Q: 10. Find the remainder of x4 + 3x + 2 after division by x + 3 in

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Q: Find the circulation f V. dR, where V = yi + (x² + y²)j + (x + y)k, and C' is the triangle with…

A: In this question we will find the circulation of

Q: e diagram below shows the function f(x) drawn to scale. 10 į -3 -2 -1 8 6 4 2 -2 -4 -6 -8 0 1 3 5

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Q: Az = 6, where A 1 (A) Yes b = Is this system consistent? (B) No H [2] (C) Not enough information to…

A: A consistent system of equations has atleast one solution.

Q: A1. Milk or meat production Y per day is best explained by the inputs: feed needed per day in kg,…

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Q: Solve the boundary-value problem y" − 8y' + 16y = 0, y(0) = 3, y(1) = 0. y(x) = help (formulas)…

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Q: Compute the matrix exponential eAt for the following system x' = Ax. - x'₁ = 8x₁ − 3x₂, x'2 = 2x₁ +…

A: Given that the system of equations are:                                   To compute the matrix…

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), (a)=x₂…

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Q: Make a change of variable, x = Py, that transforms the following quadratic form into one with no…

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Q: graph wn grapn ycle Cn-1 by adding an additional vertex vn (in the center of the cycle) and…

A: A wheel graph  Wn  which  is constructed from a cycle graph Cn −1​ by adding an additional central…

Q: 1. Write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the number as…

A: The objective of the question is to express the given repeating decimal number 15.0225825825825...…

Q: Find series solutions centered at x = 0 for the differential equation 2xy" y' +2y=0

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