Does the series k=1 1 √k6 + 5 converges absolutely diverges converges conditionally converge absolutely, converge conditionally or diverge?

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Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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A: given differential equation dydx=x+1y    x≥0, y>0 subject to initial condition y(0)=2

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Q: Discuss the continuity of the functions f and g. (x, y) = (0, 0) (x, y) = (0, 0) (x, y) = (0, 0) (x,…

A: Here given function as fx, y=x8-y8x4+y4x, y≠0, 00x, y=0, 0 and gx, y=x8-y8x4+y4x, y≠0, 06x, y=0, 0

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Q: the following system of linear equations using Gaussian elimination approach (backwa tion). 1 3 3 -1…

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Q: (d) Wh 25. (-4,2) (0, 3) -4 (-2,0) (4,2) (2,0) 4X y 2 (2,1) ܝܘ ܕܪ 3 30. y Ddd divin| 2 (0, 1) ܢܘ .…

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Q: 5. Let S₂ denote the symmetric group on the 2 letter set Σ = {0, 1}. (a) List the elements of S₂ in…

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Q: Use a Taylor expansion around 'a' to prove that In x = In a+x=1 a)". Discuss all the cases of given…

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Q: State and prove the convergence order of Newton's approach:

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Q: Q4: Answer two only: (A): If A = 2 2 3 11 NET-AN 1 0; B = 2 -2 -2 and C = 0 2 -1 2 1 4 2 0 -2 -1 11…

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Q: (B): Find the tangent equation to the curve y = sin² x at point x =

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Q: Question 3 Find the Wronskian of two solutions of the differential equation t²y" — t(t − 2)y' + (t −…

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Q: A. Find the volume of the solid generated by revolving the region that is bounded y = x + 3 and the…

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Q: solve the simultaneois equation (dx)/(dt) = 3x + 2y (dy)/(dt) + 5x + 3y = 0

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Q: x +y + 2z=1 2x-y-z = 0 x +2y-z = 4

A: Follow the steps below.

Q: Solve the initial value problem y" - 5y' - 36y = 0, y(0) = a, y'(0) = −32. Find a so that the…

A: Here given the differential equation as y''-5y'-36y=0 or D2-5D-36y=0    ........(1) where D=ddt

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Q: Q2: Solve the following integrals: ..... (2) ix-cos²x sin³x cos³ T dx; (3) dx (4) fxe dx

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Q: 5. Find the equation of the hyperbola with vertices at (3,-3) and (-13,-3), and passes through the…

A: The equation of a hyperbola is of the form  x-h2a2-y-k2b2=1 where h,k is the centre of hyperbola.…

Q: 7 (1-1-3) (x+y)* = 4 Find x² + y² x+yi 3-i 1 125 11+2i شہر قم ع ل ل المعادلة - ansi- = * * * * جد…

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