Let {B,} C R be a sequence and x E [0,1]. Prove that if |B,,41 – B„|< x|B, – Bn-1|Vn> 1 'n+: then {B,} is Cauchy and hence convergent.

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Q: 3] -4 0 2] Determine the general solution to the vector differential equation x' = Ax with A = 0 -3

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A: We are only allowed to solve one question at a time. Please post the remaining questions separately.

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A: Given,    x - 2y = 2  7x - 14y = 14  4x - 8y = 8

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Q: Solve the given ODE using Laplace Transform y"(t) – 6y'(t) – 2y(t) = 4 cos 2t - 4t³; y(0) = –2,y'(0)…

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Q: [CLO-1] Use the he O Candida O Candidat O Candidat O Candidate

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Q: Given that m is a positive integer and {D„} be the sequence with D = m and (Dn-1 + Dn-1 m D, = ,n >…

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Q: R educe Following to intgrl egualion %3D

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Q: Using a specific method, your calculated density of aluminum is d1 = 2.74 g/cm3. Using a different…

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Q: MaxZ = 3X, + X, + 2X; %3D Sto 12X, +3X, +6X, +3X, =9 8X, + X, - 4X; + 2X; = 10 3X; - X, =0 X, 20.j…

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Q: Let X = (!,2) and T3} U = (1,2-)inel,2,U+ jult. %3D n+1 show that X is not T - space

A: This is a problem of Topology.

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