Find the sum of the convergent series. +0 | 3n+1 6n-1 n=0

Q: 1 2n 1. Consider an = tan-1n a. Determine if the sequence {an}n=1 converges or diverges. b. Is the…

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Q: To test the series - 4n e for convergence, you can use the Integral Test. (This is also a geometric…

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A: Please see the answer below.

Q: etermine if the given is convergent c sin(2 tan-1n – T) Σ (2 tan-1n – Tt) n=1

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Q: For items 3 - 7, use permutation or combination in solving the problems below. Many ways C O لصنجممد…

A: Total people: 9 godmothers, 9 godfathersArrangement around a round table.  Solution:  Fix one…

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Q: Find and d²y then simplify whenever possible. dx dx² 1) у %3D 3t5 — 2t x = 4t3 2) y = t-3 – 7 x = t²…

A: As per the request of student 4th and 5th answer has been provided. This question can be solved…

Q: Find the general solution of the given system. dx бх — у dt dy = 5x + 2y dt (x(t), y(t)) =

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Q: Determine if the two given converges or diverges. { п n 2n + - 1/ n=1 Σ n n \2n + 1 n=1

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Q: 2. Use integration by parts to evaluate the following. (a) Sxtan-1x dx

A: ∫x tan-1x dxusing integration by parts∫u.v = u∫v - ∫u'∫vu =tan-1x , v= x∫tan-1x . x dx=tan-1x∫x dx -…

Q: Determine whether the following series is convergent divergent. or (-1)"3n² 4n2–1 n=1

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Q: ax²-3 -,x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .... (bx + 2,x…

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Q: 4). | (5 sin 2x) dx = 2

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Q: 10n2 + 18 Σ 7η2+ 16η+ 21 n=1

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Q: Let k be a positive real number. Then f(x) = Vk2 -- x2 is continuous on the interval: . (-k, k) b.…

A: To determine the interval in which the function is continuous.

Q: y= ( х-6 3 1. у %3 Зx+4,

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: EVALUATE THE LAPLACE TRANSFORM OF THE GIVEN FUNCTION USING APPROPRIATE THEOREMS. f(t) = t? cos 2t.…

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Q: x2 — бх + 9 dx V6x – x2

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Q: Determine if the given improper integral converges or diverges. If it converges, find its value.…

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Q: 1. Identify the indeterminate form and evaluate lim (sin x)tanx x-

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Q: Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 :…

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Q: Q2) Solve the D.E xdy + (2y-x*+ 3x)dx 0

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Q: Consider the following Maclaurin series: (-1)"x²n (2n)! cos x = for all x E R. n=0 1. Let f(x) =…

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Q: Given: a, = In(n + 1) – In(n) for n E N || Determine if the following is convergent or divergent.…

A: Given  an = lnn+1 - lnn for n∈ℕ.

Q: +o0 4+ cos? n Σ 3n – Vn n=1

A: The given series is: ∑n=1∞4+cos2n3n-n3

Q: Consider the following function. f(x) = x sin(x), a = 0, n = 4, -0.6 s x S 06 (a) Approximate f by a…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: I am attaching image so that you understand each and every step.

Q: eries > 22n (2x – 1)". In? +1 n=1 adius and interval of convergence of the power series. argest…

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Q: Determine whether the series is convergent or divergent. (-1)"3"² En=1 2 -1

A: An absolutely convergent series is convergent. P-Test: The series ∑n=1∞1np converges if p>1 and…

Q: Find plane area inside the polar function r = 2 and outside the polar function r = sin -0)+1 in…

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Q: d²y Find and dx then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 x = t2 –…

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Q: (b) S 3X5V1– 2x³dx -

A: Given,             ∫3x51-2x3dx

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A: 1) the given integral is 15x sqrt(1-x). 2) the given integral is 3x sqrt(3x2+4).

Q: 2 f(x) ; а3D0, Ь%3D1 1+ x %3D

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Q: Find the integral ſ cos³0 sin 0 d0 . Tentukan integral f cos³0 sin 0 de. 1 cos*0 + C 4 1. O 1 -coste…

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Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci. Show…

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Q: 1. y - x+ 4x - 5 S) - x - 3x 3. sC) - x'+ x- 4x'+ 3 4. Sketch the graph and find the relative…

A: Solution of the problem as follows

Q: 0/ using the test comparing the series Enas n?_2n-3

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Q: body was foun Within close nouse where Iscovery the core tempe r the body asuremen ved that the core…

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Q: GIVEN THE FOLLOWING POWER SERIES REPRESENTATION BELOW: x4 + 4! Cosx = 1 - + 6! .. 2! (-1)"x2n (2n)!…

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Q: 1 Given the function g(a, b) = suppose m = g(a, b) where a2b+b a = cd b = c3 + 6d The task is to use…

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Q: 273 - 22 + 2r – 2 dr 1²(r² – 2x + 2)

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Q: Use the properties of logarithms to expand the following expression. xy log Each logarithm should…

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