Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) = 2.F(s) = s4+s2 (s +2)+n?n2

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Q: Q4: A. Find the Eigenvalues and the corresponding Eigenvectors for A = 1

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A: Do matrix multiplication.

Q: 21. Suppose A is a field and suppose also that A closed under countable disjoint unions. Show A

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Q: Find the inverse Laplace Transform for 3s2 – 28 Y (s) (s – 4) (s2 + 4)

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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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A: Solution:

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Q: Define p: Z16 Z16 by p(x) = 4x is a homomorphism then Kerø = a) {0,12} b) {0,4,8,12} c) {4,8,12} d)…

A: Given  ϕ:ℤ16→ℤ16  by ϕ(x)=4x is a homomorphism. To find: Ker ϕ

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