Find the radius of convergence, R, of the series. Σ(-1)" to 3 In(n) n = 2 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =

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Q: 1. Find the derivatives of the following function (a) y=4²-3+2√ 2x+3 2²+8+1

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Q: Q2: 1. Solve the following equation exactly ý + 2xy = x and y(0) = 1.5, h = 0.1 2. Use the Euler…

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Q: Factor the following matrix into PA = LU. Factor it also into A = L₁P₁U₁ (hold the exchange of row 3…

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A: Here given that f(x)=x-5 x≠5 and g(x)=x+3. We have to find the domain of g∘fx.

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Q: Approximate the following integrals using the following method. Use Boole's Rule Method S² (x²y +…

A: Given: ∫01∫x2xx2y+xy2dydx n=16 To find: Value of the integral using Boole's rule.

Q: Approximate the following integrals using the following method. Use Boole's Rule Method [² [* (x²y +…

A: Given: ∫01∫x2xx2y+xy2dydx n=16 To find: Approximate value of the integral using Boole's rule.

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Q: Use the root test to determine whether the series 7n n6.5n+1 converges or diverges. n=1

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Q: Invert the following matrices, if possible. 3 6 (a) [1] 2

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A: Solution :-