Find the third derivative [f"(x)] of the given function: f(x) = 8 sin() %3D

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A: A detailed solution is given below

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A: Explanation of the answer is as follows

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A: Given,  ∫1+∞1xdx

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A: Greens theorem

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Q: Evaluate the following improper integrals. Tell whether it is convergent or divergent. 1.

A: The given integral,     ∫1+∞dxx

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A: To solve the following problem

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A: Here, using the binomial expansion: x+1=∑n=0∞12n xn...(1)

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A: answer is in next step

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Q: C sin 2wcos 2wciwv

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A: As per the guidelines I am sharing the solution to the first question.

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A: Given that,         ∫3x3t-1dt

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Q: Express the limit lim E (4 cos (272;) + 6)A¤; [2, 4] over as an integral. n- 00 i=1

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