(A) Test for convergence or divergence of the sequence 3" - 1 (B) Find the sum of the series 11=1 [3n²(n-1)! (n+1)!

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A: We know L{ y"(t) } = s^2 y(s) - sy'(0) -y(0)  L{ y'(t) } = s y(s) - y(0)

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A: This is very nice question in abstract algebra

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A: To Select: The correct the option(s): 11. In line integrals, If x(t) has a derivative equal to 0 and…

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A: Given A = 5-20-262027  and  X = x1x2x3

Q: B)ls w = Ze² analytical function or not?

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A: Follow the steps.

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A: Explanation of the answer is as follows

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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A: According to guidelines we can solve only one problem

Q: Evaluate the double integrals ffe Se-x²-² dxdy, where D = {(x, y) | x² + y² ≤ 4, x ≥ 0, y ≥ 0}.

A: