Prove each of the following statements e) Prove that -la] ≤ a for all real numbers a. f) Prove that + 1/1/2+1/2/201 + •+/> √n, for n = 2, 3, 4, ...

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Q: #1 Prove that lim 216 27 1²20 =0 - (give an E-nc fecool).

A: According to answering policy, I can answer only the first question. Please reupload for other…

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A: We already know that the rotation matrix (about the origin) is M=cosθ-sinθsinθcosθ.

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Q: 3) Solve the following system using the Inverse Matrix Process. = 2 X + y -X - 4y + (x + 2y Z= 3 - -…

A: This is required Matrix equation AX=B

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Q: Find all solutions for x, up to congruence. (b) x ≡ 11 mod 142 and x ≡ 25 mod 86.

A: Given: (b) x≡11 mod 142 and x≡25 mod 86 To find: All solutions for x, up to convergence.

Q: TASK 1: INTEGRATION Another application of integration is in probability. This task applies your…

A: Explanation of the answer is as follows