Use the Alternating Series Test, if applicable, to determine the convergence or diverg (-1)^n n²-2 Identify an 00 n=2 Evaluate the following limit. lim an n→ ∞ Since lim an n→ ∞0 20 and an +1 --?-an for all n, ---Select---

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A: A bacteria culture initially contains 3000 bacteria and doubles every half hour.To find the size of…

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A: Using cylindrical coordinates, we can evaluate the integral.

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A: We have to show if the series converges and find the minimum number of terms required for the sum…

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Q: 3. • f(x) = from (-00, 0] to (0, 1]. f(x) = from (-∞0, ∞) to (0, 1]. • f(x) = 12 from (-∞,0] to [0,…

A: A function  is said to be a 1-1 correspondence if it is both one-to-one and onto.

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Q: 40. (a) Starting with the geometric series Σπ–0 x", find the sum of the series Σ Σ n.xt-1 |x|<1 (b)…

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Q: 2.1 If == cos¹ y √√x² + y₂² dz find and dy 8²z oxdy in its simplest form.

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A: Given that f(x) = 25-3x - x2 and we find slope of this curve at x=2 and x=1/2.

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