Find the maximum error incurred by using the first three terms to approximate the sum of the series: 2(-1)" Σ n = 3 n6 2 45 2 56 ~ 66 2 76

Q: 1. Find the general solution of 2 ylnx dx = (x+¹) ²

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Q: The following data gives an approximation to the integral M= f(x) dx N₁(h) = 2.2341, N₁ = 2.0282.…

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Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' = e√1-1²-y², y(0) =…

A: Solution: Given,y'=e1-t2-y2,    y0=0We know that  by existance and uniqueness theorem,The initial…

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Q: (ii) Prove the identity (2 – 2 cos 0) (sin 0 + sin 20 + sin 30) −(cos 40 — 1) sin 0 + sin 40 (cos 0…

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Q: 1 0 5 -2 0 1 4 1 0 0 0 0 Row 1 - x1 + 0x2 + 5x3 = -2 Row 2 - 0x1 + x2 + 4x3 = 1 Row 3 - 0 = 0…

A: Given: System of equations, x1+0x2+5x3=-20x1+x2+4x3=10=0 To find: The solution of given system.

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A: Given statement:-  If  f  :  ℝ, mL  →ℝ  and   g  :  ℝ, mL  →ℝ  are measurable then:

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