For each positive integer n, let P(n) be the following inequality. 2" < (n + 1)!

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Q: An + 1 ≤ n² for all integers n ≥ 5.

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Q: 21. The set B = {1+t°,t+t²,1+2t + 2°} is a basis for P2. Find the coordinate vector of P(r) = 1+4t +…

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A: Cot X = Base/Perpendicular Sec X = Hypotenuse/Base Tan X = 1/CotX

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Q: The right-hand side of P(K) is k. 2" +2 [The inductive hypothesis states that the two sides of P(k)…

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Q: 2. Prove: for all sets A and B, if A C B, then AUBC B.

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Q: 29. Define a relation D on R as follows: For every ordered pair (r, y) E R x D y + y – x > 5 (a)…

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Q: 48" 17

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