Evaluate lim (tan-(t),e-2t,m²). t-1

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Q: " + 4x' + 4x = 4e24, r(0) = 0, r' (0) = 1.

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A: This question related to topic symmetric matrix from linear algebra.

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Q: Given that x′′(t)−x(t)+5y′(t)=tx′′(t)−x(t)+5y′(t)=t y′′(t) − 4y(t) −2x′(t)=−2y′′(t) − 4y(t) −2x′(t...

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Q: Inverting a transform for matrix: 0.375 0 0.927 5 0.608 0.755 -0.246 2.787 -0.7 0.656 0.283 4.92 0 1

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A: Given,          1)  5x+6y+z=-22)4x-8y+6z=63) 6x+4y-6z=8

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Q: [o Let A be a 3 x 3 diagonalizable matrix, P = 1 -1 Lo [2 0 P-1 =| 3 0 -2|,D = |0 0 lo o 1 1 -3 0 3 ...

A: If P-1AP=D, then it can be written that PDP-1=A.  It can also be written that: PDnP-1=An. For a diag...

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Q: 4. Use the Laplace transform to solve the IVP a" + 4x' + 4x = 4e24, r(0) = 0, r' (0) = 1.

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Q: 4. Use the Laplace transform to solve the IVP a" + 4x' + 4x = 4e24, r(0) = 0, r' (0) = 1.

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Q: Find out whether this series converges or diverges. 1 Σ 3n-1+3 n=1

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