1. Using mathematical induction, prove that: (b) 2n2 for n ≥ 5;

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A: Step 2: Analyzing StabilityTo determine the stability of each equilibrium point, examine the sign of…

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Q: Prove that for any natural number n, if 2^n − 1 is prime, then n isprime.

A: Step 1: Step 2: Step 3: Step 4:

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A: See the attachment for the solution to the problem.

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