Q1: Use two iterations of G-S method to solve the linear system. 10x + y+ z = 15.4 2x + 7y + z = 21.6 -x + 2y – 5z = -5.6 with estimated solution (xo, Y, Zo) = (1,2,2). %3D

Q: 8. Determine the angle between the two vectors. a) Ã = and B = b) Ả = -2î + 3 + 5k and B = î + 2j…

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Q: Suppose you make beautiful coffee tables out of juniper trees. Your materials cost for each table is…

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Q: Consider the following. -6 12 -3 -4 P = 1 A = -1 -1 -1 (a) Verify that A is diagonalizable by…

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Q: What is the minimum of the function y = -x° + 3x for x <-1? -4 O-2 4. O 2

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Q: 4- Determining Whether a 3 x 3 Matrix A is Orthogonal or not. - A = 2 -1 2 2

A: This is a problem of linear transformation.

Q: 3. Use the Cramer's rule method to solve: -3х- 4у -бе y' = -3x + y+2e x'

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Q: Evaluate the triple integral In(1+ Vr2 + y? +z?)dzdydr.

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Q: Determine the dot product a) Ā = and B = b) Á = and B c) Á = 5, ||B = 32 and the angle between the…

A: (a) Given that A→=&lt;9,4,-5&gt; and B→=&lt;3,-2,7&gt;

Q: Let F be a commutative ring with identity and let f (x) E F[x] be a polynomial of degree 4. Which of…

A: Concept: Polynomial with degree 4 have 4 roots. However it is not compolsory that the roots are…

Q: 3- Find an equation of the Plane perpendicular to the line through (2,2,-9) and (7,-1,3) and…

A: To Find: Equation of plane perpendicular to the line through the points (2,2,-9) and (7,-1,3) and…

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Consider the functionf(x, y) = 7x? – 7y² subject to the condition x + y = 36. %3D Use Lagrange…

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Q: Directions: Illustrate the rejection region given the critical value and identify if the t-values…

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Q: Identify the extrema (both minimum and maximum) of the given graphs below. If there is no extrema,…

A: We need to identify extremum in all the given graphs. As per policy, we are solving only the first…

Q: Find a basis for the subspace of R* spanned by S. S = {(-20, –7, 2, –4), (21, 7, –2, 4), (-9, –3, 1,…

A: We have given set of vectors ,  S = -20 , -7 , 2 , -4 , 21 , 7 , -2 , 4 , -9 , -3 , 1 , -2 , -18 ,…

Q: Calculate r'(t) and T(t) and evaluate T(1). r(t) = (6 + 7t,12,5 – 1²) (Give your answers using…

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Q: If you haven't already done so, distribute the A to the x – 1 and the B to the x + 3 in the equation…

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Q: Approximate the following integrals using the Trapezoidal rule. 0.5 b. dx d. re dx

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

Q: Use the vector form v=v​[(cosθ​)i+​(sinθ​)j​] to solve the following problem. A ship sails…

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Q: 11. Convert the cylindrical coordinates (4,,-2) to rectangular coordinates

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Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A: Given, V=13b2hb1=b2=6cmh=9 cm

Q: a) ВА b) Determinant of AT c) cofactors(B) Where [3 2 0 0 5 4 7 0 1 A =|1 3 1 0 0 10 3 85 Lo 1 0 1…

A: We have to find the value of (a) BA, (b) determinant of AT and (c) cofactors(B)

Q: Use the given transformation to evaluate the integral. | 5x2 dA, where R is the region bounded by…

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

Q: The population of a certain barangay is known to increase at a rate proportional to the number of…

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Q: a. f(0) = f(3) = 0 b. f(1) = -2 c. f'(-1) = f'(0) = f'(1) = 0 d. f'(x) 0 on -8 <x< -글and<x<2 g. lim…

A: Given: a. f(0)=f(3)=0 b. f(1)=-2 c. f'(-1)=f'(0)=f'(1)=0 d. f'(x)&lt;0 for -∞&lt;x&lt;-1 and…

Q: Compute the required monthly payment on $80,000 30-year, fixed-rate mortgage with a nominal interest…

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Q: Suppose that the coefficients of the power series E an(x – c)" n=0 satisfy |an+1] lim = L. n→∞ an…

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Q: Make a comparison between Euclidean and Non-Euclidean Geometry. Present your answer in a table.…

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Q: Determine whether the subset of Mn.n is a subspace of Mo.n with the standard operations of matrix…

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Q: Make a comparison between Euclidean and Projective Geometry. Present your answer in a table.…

A: For solution see the below attachment.

Q: 19. Find the matrix that represents the word Calculator. Enter your answer in space below.…

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

Q: Ke Find the matrix M of the linear transformation T : R → R° given by - (E) I -6x1 + x2 + 7x3 -6x1 +…

A: Solution

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (7,…

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Q: cos40 = 8cos*0 – 8cos20 + 1

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Q: (-1)"x2" (2n)! +00 1. For all x ER, cos x = Σ n=0 a. Find a power series that is equal to x cos(x)…

A: We have to find power series.

Q: 1 Find the Inverse Laplace Transform of s2+2s + 10 A -e 'sin9t 3 -e-'sin3t 3 3t e"cost (D 3 "cos3t…

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Q: 2. Minimize: Z 20X1 + 10X2 + 80X3 %3D Subject to: X1 + X2 + X3 > 6 2X1 + 4X2 + X3 = 20 2X1 + X2 < 5…

A: We have to find the solution to the given problem.

Q: Which of the following is/are homogeneous equation/s? 1. 3y" - 2y +1 = 0 dy II. 3 dy? dy + 2y = 0…

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Q: Г16 If n is a positive integer, then 4 36 is -16 [16 (Hint: Diagonalize the matrix 4 36 first. Note…

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Q: a3 – 4x2 x(x + 8)(x – 2) (x+2)3 8(7x - 4) (x+ 2)ª f(x) = with f'(x) = and f"(x)= %3D (x +2)² ' d.…

A: d(i). Determining the intervals on which the function is increasing or decreasing. If the first…

Q: Find the inverse of laplace, f(t) if: 8s2 + 12 9.F(s) = Ts - 2)²(s – 4)* (s – 2)²(s – 4)*

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Q: Q7. Solve the Cauchy-Euler equation (i) 4.x²y" + 4.xy' – y = 0. (ii) 4x²y" + y = 0.

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Q: Based on your understanding, solve the following problem Find the particular solution for the given…

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

Q: If we do not discuss orthogonal diagonalization, you may omit this probl Let A be any m × n matrix.…

A: Let , A be any m × n matrix. We need to show that , AT A has an orthonormal set of n eigenvectors.…

Q: Explain why S is not a basis for P2. S = {1 - x, 1 - x², -1 – 4x + 5x2} O sis linearly dependent. O…

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Q: Find the first fundamental form of surface of revolution?

A: Suppose M is a surface determine by , Xu , v ⊂ E3. Suppose αt is curve on M , where t ∈ a , b. Here…

Q: 3. Suppose the following figures are drawn on lem dot paper. What are the areas and perimeters?…

A: To find the area and perimeters of the following figure :-

Q: r(r+8)(r – 2) (r+ 2)3 -4r2 8(7r - 4) (x +2)4 f(r) : (r+2)2 ' with f'(r) = and f"(r) = %3D Find the…

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Q: x R y in R if | x |=||

A: we have to find the relation R where R is defined by x R y in ℝ if x=y, equivalent or not.

Q: Using Gauss-Seidel Method, obtain the solution to the system; x1 + 5x2 + 3x3 = 30 %3D 3x1 + 7x2 +…

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