Find the solution of the integro-differential equation using Laplace Transform: y" + 4y' + 3y = 2 e-tdt;y(0) = 0, y'(0) = 0 %3D

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Q: 5) ΔLMN= ΔDEC 6) ΔTSR ΔLJK R. S. ZN = ? ZS = ? 7) △XWY츠 ΔUTS 8) ΔBACAMKL VA ZY ? ZB =?

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A: Diaphantine equation

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A: Given: rt=2eti + 1-e2tjWe know that, unit Tangent Tt=r'tr'tnow, r't=2eti + 0-2e2tj         r't=2eti…

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A: According to guidelines i solve first 3 subpart so kindly request you to repost the remaining…

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A: Solution:- As per guidelines I submit first question only

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A: Using the relations: ∠RHD≅∠EBF and ∠RHK≅∠EBS, we need to derive a conclusion regarding the angles:…

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A: We use the facts that τ=Tr(A)∆=det(A)

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A: Solution:  Given an equation z5+z.cosπ8+isinπ8=0  we know that, cosπ8+isinπ8=eiπ8 now,…

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A: Let us denote M=-1-2-3-4012300561001 and b=0101. We have to find the values of the unknown variables…

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A: According to guidelines i solve first question only so kindly request you to repost the remaining…

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Q: 3) Application of Optimization Problems. Use bordered determinants to check the following functions…

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A: The equation of a circle is defined using the formula: (x−h)2+(y−k)2=r2,where (h, k) is the center…