Find the eigenvalues A1 < A2 and associated orthonormal eigenvectors of the symmetric matrix 3 0 0 3 1 0 A = 0 1 3 0 1 0 0

Q: Find the characteristic polynomial of the matrix 3 -4 A = -4 -3 4

A: Characteristics polynomial of the matrix

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Q: d) 3/2 d.x (x4 +1)2 16 Cos(2.r) T e) dx %3D 1+ x2 e2 8. 8. sin x d.x (x2 + 4)(x - 1) Cos 1 - |

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A: From the table values of standard normal variable Z At Z=0.97 The table value is 0.3340 The area to…

Q: Find the volume of the solid generated when the region enclosed by y = Vx, y = 6 – x, and y = 0 is…

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Q: 29. Find the adjacency matrix for the graph below. * A (D го 1 1 1 01 го 1 1 1 01 1 1 1 1 1 1 1 1 1…

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Q: Give an example of two bounded sequences {a„}1; {bn}%=1 such that lim sup„→»(@n + bn) # lim sup,„→∞…

A: Consider the sequences: an=(-1)n and bn=(-1)n+1 Then clearly, an≤1 and bn≤1Therefore, both the…

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A: The work done  in moving an object from one point to other is given by the product of weight of the…

Q: (1) [4+4 points] Determine whether the following series converge or diverge: k! (a) Σ 2.4.6... (2k)…

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Q: 6. Use Stoke's Theorem to evaluate fF dr, where F =, C and C is the part of the paraboloid z = 4 –…

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Q: Find the solution of the following heat conduction problem using the variable separation method. ôT…

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A: GIVEN CLEAR EXPLANATION BELOW

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Q: 1 2 3 4 5 6 3 1 4 5 6 2, 1 2 3 4 56 2 4 1 3 6 5 1 2 3 4 5 524 3 1 6 Compute c) ou, d) To-2, e)…

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Q: b)I,- ;: Use the Comparison Test to test the series .7 Σ 2 + n° n=1 for convergence or divergence.

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Q: 3. f Ct) 2 (3t-5) e 4t

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Q: The bounded area generated from the curves y = 1 - x² and y = 0 is to be rotated around x = 1. Which…

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Q: Let ƒ be a continuous function. Show that 2022 -f(/¤) dx f(x) dx. 2022

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Q: OA. C1 J(5/9) (x) + c2J_(5/9) (x) B. Cį J(5/9) (x) + c2 Y(5/9) (x) OC. c J9/5) (x) + c2J_(9/5)(x) D.…

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Q: Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, ū2 of the symmetric matrix A = The…

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Q: . Show that there exists a real number 0 <x< 2 so that x' + 8x² – 10 = 0 -

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Q: Question 4: Find the transition matrix (t) -3 A 2 B = A = -3 В -2 0 Deduce the solution x(t).

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Q: Find an LU-decomposition of A. Show your work. 2 1. A = |-2 1 2

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Q: e ) στο1. OTO utntione of R?

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Q: Question 2: Find the inverse Laplace transform of 10 a) F(s)= s(s+2)(s+3)? b) F(s): s? +4s+5 1 -2s…

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Q: Determine the osculating circle of the helix defined by y = x^3 − 3x + 1 at x = 1.

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Q: (a) Compute the flux of the field F = r i+yj-zk across the cylindrical surface a + z = 1, 0 <y53…

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Q: If f(x) and g(x) are two functions defined on an interval then, ꭍ{f(x)±g(x)} is equal to?

A: The sum rule states that the integration of the sum of two functions equals the sum of the integrals…

Q: 1, if a is rational; 9. Consider the Dirichlet function f (x) = %3D 0, if r is irrational. TRUE or…

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Q: OLet W, X, Y, and Z be invertible square matrices. Show that if WY = YW, then det Y det(W Z –YX)

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Q: Find the Maclaurin series for f and identify its interval of convergence. Evaluate f(1804) (0),…

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Q: 40. Let {r„}-1; {Yn}=1 be bounded sequences. Show that sup{r„}1+sup{yn}12 sup{rn + Yn}n=1 • 00

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Q: AnimoSpace Support e 1. Maximize Z = 7x1 + 5x2 s.t. 4x1 + 3x2 40 5x1 + 2x2 > 30 X1 > 2 X2 > 3 X1 ,…

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Q: Analyze the stability of the zero solution for the system dx = -y + y(x² +y² dt dy = x – x(x² + y²)…

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Q: 7. co sh?t CO 9.

A: The given problem is to find the Laplace transform of the given function f(t). Given function f (t)…

Q: Let r = (2,-i, 1), and y = (-i, 3,1 + i) be vectors in C3. Compute (x, y), ||x||, |ly|l, and…

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