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Q: Consider the matrix -() 2 0 5 0 0 2 5 A = Find the eigenvalues and eigenvectors of A

A: Ans.   Given matrix      A=520250002 we know that Eigen values are roots of equation     A-λI=0 So,…

Q: Suppose 2 < f'(x) < 6, for –1 < x< 1. Then f(1) – f(-1) is between A) 2 and 10. B) 4 and 12. C) 0…

A: GIVEN : 2 ≤f'(x) ≤6,  for -1 ≤x≤1 TO FIND : f(1) - f(-1) HINT : Mean value theorem

Q: 8. Let BC2, C C2 and define if n is odd, В, C, An if n is even. What is lim inf An and lim sup A,?

A: For the solution follow the next step.

Q: 5. Suppose an > 0, bn > 1 and lim an = 0, lim bn = 1. %3D Define An = {x : an <x < bn}. %3D Find lim…

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Q: Let G be a d regular graph (i.e., all vertices have d neighbors). (a) What are the eigenvalues of…

A: Given:-Gn be a  d regular grapgh(a) If G is d.regular graph then the laplacian is given by…

Q: (a). u(x, y) = e- sin y, (b). v(x, y) : = cos x cosh y, %3D

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Q: 1 Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01)…

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Q: The solution of xy' – y = 2x°, y(1) = 4 %3D (A) y = x³ + 2x (B) y = x² + 4x (C) y = x² + 3x (D) y =…

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Q: Let A = {x € R : x < a} and B={x €R: x < b}, where a and b are real numbers. Show that sup(A+ B) =…

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Q: To illustrate calculations with the unit impulse function, consider evaluation of the following…

A: As per our company guidelines, we can solve first question for you. If you want other questions to…

Q: 4.2. Let a=for n23 (a) Let f be the function given by f(x) = -1/ For x23, fis continuous, xlnx…

A: Please see the attachment  We are supposed to do one problem.

Q: For the following probability distribution 3 4 P(x) 2/5 1/5 2/5 The population variance is . O 0.7 O…

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Q: b. If A = 3 x and A = AT, then: x=0, y=0 None of them. O x=y O x+y=0

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Q: (c) Show that the following linear system is a strictly diagonally dominant: 7x1- X2 - X1 + 7x2 - x3…

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Q: 22/Find the Fourier series for the following function? (SM) r)=x for

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Q: Calculate the length L of the hollow hexagon cylinder with closed ends with the thickness of 8 mm,…

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Q: Final Value Theorem:- 6, lim xin) lim xCt) ヒ→ lim (1-z) Xcz) (火(00)に

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Q: Solve y(n+2)+2y(n+1)+y(n) = n where y(1)=y(0)=0

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Q: Determine the Laplace transforms of the follow- ing functions: 1. (a) 2re2 (b) re (a) (s- 2)2 2. (b)…

A: Laplace transferom

Q: The PDE ugy + sin(y) u, = cos(y) Can be reduced to a first order linear equation as: A) uz + cos(x)…

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Q: a. Show that f has a removable discontinuity at x = 3. f(x) = x²7x+12 x + 2 x = 3

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Q: A carnival ferris wheel with a radius of 14 meters makes one complete revolution every 16 seconds.…

A: Solution:

Q: 5. y = c1 cos 2x + c2 sin 2r; y" + 4y = 0

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Q: For the following simple linear regression equation y = 2Bo + B1VX find the estimated parameters…

A: The regression is a method of machine learning under subgroup Supervised Learning. The regression…