Determine lim an for each sequence (a,} If the limit doesn't exist, explain why. 4n2 • a. an %3D 2n3 + 5n+1 1+(- 1)" .b.an %3D (- 1)" n3 • C. an

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Q: бх-7 7. S dx (2х+1)(4x2+1)

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Q: 8. Differentiate each function. Express your answer in a simplified factored form. a. f(x) = (x +…

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Q: term

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A: Green's Theorem:- To find the line integral of a function along a closed curve C…

Q: =1 nº+1

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Q: How/Find the solution for the equaton

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Q: L = - Given the power series 00 (x + 2)" n = 0 2" Find the "Radius of Convergence" for the series.…

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A: dEdt=25-8t(a) dE=(25-8t) dtIntegrate On both sides∫dE =∫(25-8t) dtE =25t -8t22+cE=25t-4t2+cgiven…

Q: Simpson's 3/8 Rule Problem Stotemant (a) Use Simpoe's 3/8 rule to integrate f-02+ 25s-200+ 675-900 0…

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Q: 3. Find the absolute maximum and the absolute minimum of f(x) = x-2 tanx on the interval [0,4].

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A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post…

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Q: 3 ų (Vector Q.2 For the twJo Vectors: A=i-3j-2k B= 31 +5j +7K Find Ahe fallowing O BA Å+2B %3D…

A: Solution of question is written in below steps.

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Q: DATE: Consider flu) = gw)ha). Use implicit diona Find f" L). %3D

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A: As per Bartleby guidelines rule I am answering only first question as both question is different and…

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A: This question can be solved using the concept of area under curves.

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Q: Test the series below for convergence using the Ratio Test. S In(n) 6h n=2 The limit of the ratio…

A: Given: Now,             limn→∞ lnn+16n+1lnn6n=limn→∞ lnn+16n· 6lnn6n=16·limn→∞…