Find the Fourier series of the following functions 2t 2. f (t) = { 20 for 1>t>0 for 2>t>1

Q: x-1 y-2 z-1 2 -6 7 1 F(t) = ( 21 + ¹ )i + ¹/ (m² − 3)} j + t√21³-1k at t=1 1 4 (c) show that the…

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Q: Q2: Find the Laplace transform for the following periodic functions 1- f(t) = 2- f(t) = = t π-t 0…

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Q: Use Divergence Theorem to evaluate the flux integral ∫∫F·ndS, where F = 〈x^2, y^2, z^2〉, S is the…

A: Divergence theorem:∫∫sF.⇀  N^dS =∬∫DdivF⇀dV , here D is the solid bounded by the closed surface S.

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Q: Determine the intervals in which solutions are sure to exist. t(t − 2)y(4) + e¹y" + 6t²y = 0 -

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Q: Draw the Direct form 1 and Direct form 2 of the ff: y(n)=5x(n)+3x(n-2)+4x(n-3)+y(n-1)+5y(n-2)

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Q: GE)--(0) 00 and W₂ (a) Find a basis for W₁W₂. What is dim(W₁ W₂)? (b) Show that R³ =W₁ + W₂. (c)…

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Q: dP/dt + 2tP= P + 6t - 6 a) Find the general solution of the given differential equation. b) Give the…

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