ind the longes PtaV + (In(z- 2) )y = 0. y(3) = 1 and y(3) = 0

Q: 2. А %3D [0.7 0.1 Lo.1 0.7

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Q: IV. Determine if the given is convergent or divergent. sin(2 tan¬1 n – 1) #3. )) (2 tan-1 n – T) n=1

A: Given series is ∑n=1∞sin(2tan-1n-π)(2tan-1n-π)

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A: Given series are ∑n=1∞4+cos2n3n-n3∑n=1∞5-4lnn3n33·lnn3n

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A: Given A = -1-63-3-1-2

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A: To solve the given integral ∫-2x3e-5xdx using tabular method. For that, we identify the term in the…

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Q: too (4 – x)" /n + 5 9n · 7" Consider the power series n=1 Use Limit Comparison Test to show that the…

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Q: Question 8 Use the Laplace transform to find the solution of the following ODE y"+16y = 28(t – x)…

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Q: = the power series ) 22n (2.x – 1)". Vn? +1 ermine the radius and interval of convergen ce of the…

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Q: Determine whether the improper integral converges or diverges. If converges, find the value. In x?dx

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Q: Let (V, (,)) be an inner product space and let f,g be vectors in V. If || F|| = 4. ||g|| = 5 and ||…

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Q: 4,17, 2,1, 3, 11,14, 10, 6, 1,2, 1, 4, 14,15, 12, 1, 7, 9, 6 How many classes should there be if the…

A: Given: Let us consider the given, 4,17,2,1,3,11,14,10,6,1,2,1,4,14,15,12,1,7,9,6 Class width=4

Q: 4. Evaluate, if 2 = 0~j3 4 1/6

A: Given complex number is z = 10-j 3

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A: Sum of the series, using Taylor series expansion

Q: fllowing integVals using Polar methad : yり x dy QlEValuate the

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Show that the sequence {- 2.4...(2n) }tinf converges by the Monotone 3.5...(2n+1)'n=1 Convergence…

A: Here I have applied the Monotone Convergence Theorem to show that the given sequence is convergent.

Q: If ffinite or in finite) Contable set, thers prave that At CS}=0

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Q: What are the future value and the interest earned if $4000 is invested for 7 years at 8% compounded…

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A: Given,  The base of solid is the region enclosed by y=ln(x), the line x=e and the x-axis. Also…

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A: Solution:

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Q: 3. Solve the differential equation for x > 0 2 y' + -y = x.

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A: To solve the given differential equation.

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Q: 4 - 2v2. R

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Q: (x+ 1)ª – y² (x + 1)4 + y² - if (x, y) # (–1,0) et f(x, y) -1 if (x, y) = (-1, 0) Show that f is not…

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A: The solution is given below. Hope this helps.

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Q: Find whether the shown expression below diverges or converges Show your solution and how you came up…

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Q: Question 1 Let y be the solution of the Bernoulli differential equation dy yx =y +x*, x >0, y > 0,…

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