Prove that 21′(2:) _r′(z)_T'(=+!) r (2) T(²) T (²+1) and thus derive Legendre's duplication formula. = 2log 2

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A: Since you have posted a question with multiple subparts, we will provide the solution only to the…

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Q: 4. Profit-loss analysis. Use the revenue function from Problem 70 and the given cost function: R(x)…

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Q: 6. Find all elements of the equivalence class of 12 under congruence modulo 5.

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Q: 141 Solve the following: 1. If the second derivative with respect to x of 4x³-5x² - 6x +7 is equal…

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Q: Q14A. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C =…

A: The given problem is to find the intersection of sets B and D with the given defined sets A,B,C,D.

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