Prove the given statement step by step using mathematical induction or strong mathematical induction. (a). Vn e z*, 2"+1 <1+ (n + 1)2".

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A: The complete solutions are given below

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Q: ди 3 para t> 0, 0 <x < 3 ди ди (0,1)3= (3,t) = 0 u(x,0) = 3x +1 %3D

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Q: Positive Undefined Zero Negative

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A: according to bartleby guidelines we can answer only first question and rest can be reposted. 

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Q: 12 1. F(s) = 3s-4 3s-34 2. F(s) s2 +4

A: Properties of inverse Laplace L-11s-a=eat L-1as2+a2=sinat L-1ss2+a2=cosat