Evaluate: √ye dx By using Gamma function. is

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Q: . Use the Ratio Test to determine if the following series converges or diverges. n! Σn=1 (2n+1)!

A: Given series is ∑n=1∞n!(2n+1)!   Let  un=n!(2n+1)!

Q: Lap lace Transforme. a wsing First Principales only, show that laplace trasform. 1 (5) for f(t) =…

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Q: (a) g(x) = x + 1 x-1 (using the definition)

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Q: Find the Fourier series (ao, an, bn and the fourier series formula   f(t) = 8 − t3 − 8 < t < 8

A: Given function is f(x)=8-t3, -8&lt;t&lt;8 Let Fourier series be f(t)=a02+∑n=1∞ancosnπtL+∑n=1∞sinnπtL…

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Q: Q1) solve the following linear systems by using Gauss elimination and Gauss-Jordan elimination. 3)…

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Q: 6. Find the Laplace transform of the foll (a) g(t) = et+2+ sint cost+to(t-2 (b) a(t) = te sinh3t.…

A: Introduction:   The Laplace transformation is very significant integral transformation that is used…

Q: 6. Find the Laplace transform of the following functions (a) g(t) = et+2+ sint cost+to(t-2).

A: The Laplace transformation is very significant integral transformation that is used widely in many…

Q: The Value B(1/2, 1/2 list

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Q: If a graph has 8 edges, how many vertices does it have?

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Q: Question 2 Let F(x, v. 2) = -2y7 + 2xj. Use Stokes' Theorem to find 17-d7, where C is a circle…

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Q: 1. How many arrangements could be made of the word GRATEFUL if: o there are no restrictions? o the…

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Q: factor of the equation dy dx The Integrating (x²y³ + xy) 1 is

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Q: [(p^~q) v~r] ^ (q^r)

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Q: 20-21 consider the matrix A = 20. Find the cofactor C32. A. -3 B. -1 21. Find the detA. A. 4 B. 2 1…

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Q: A vibrational system consisting of a mass m = 1/4 slug attached to the spring 2.5lb/ f t is modelled…

A: The given differential equation is d2ydt2+5dydt+6y=7 sin4t........(1) To find: the general solution…

Q: Let x, y, and z be positive integers. Suppose that x2 + y2 = z2. Prove the following. (a) if z is…

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Q: Determine the Laplace transform of f(t) = tcosh(t)

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Q: Find the Eigen vector of matrix A corresponding to highest Eigen value. 3 1 4 A 02 26 00 5

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Q: Express the given quantity in the form a + ib. cot(+71) 2

A: Given: cot π2+7i To find: Solution

Q: f(x)=√ √atan(x) dx f(x)= | sinh xã dx

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Q: The complete solution of the ordinary differential equation d² y dy + P dx² + qy = 0 is dx - 3x - y…

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Q: Either prove the wff is valid or give an interpretation that is false: (p.71) 18. (EEx)[R(x) V…

A: Introduction: The rules of inference are also applied in case of quantified propositions. Along with…

Q: Suppose the graph is planar but not connected, and has 5 components. Derive a variant of Euler's…

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Q: Use telescopic method to solve the recurrence relation f(0) = 4 and f(n) = f(n − 1) + 2n − 1 for all…

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Q: n - 1 (a) lim n+on+ 1 1 (b) lim (2x²-3) = −3 x-0 1 (c) lim = +∞ x2-x² - 4

A: Follow the steps.

Q: Problem 4 Let A B C be a cofibration sequence. For any X, show that the induced sequence [C, X] →…

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Q: Let f(u, v) be a differentiable function with f(-1,3)=0, fu(-1,3)= 2 and f(-1,3)= -3, g(x, y, z) =…

A: Given that f(u, v) is a differentiable function with f-1,3=0, fu-1,3=2 and fv-1,3=-3,…

Q: Q4. Solve the following by using Laplace Transform (i) sin 2te-t + 3 t5 - cosh t 2 t (ii) sin +…

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Q: Minimize C=20x₁ + 2x2 subject to 4x1 + x₂ 221 3x₁ + x₂ 25 X₁, X₂ 20 a. Form the dual problem.…

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Q: Either prove the wff is valid or give an interpretation that is false: (p.71) 18. (EEx)[R(x) V…

A: The rules of inference are also applied in case of quantified propositions. Along with the rules,…

Q: show that the function 3x²y-y³ ty is he harmonic and then find it's Harmonic conjugate v (x, y)

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Q: In( If u = In ди X +y 3x x3+y3 x+y ди ду then find the value of ?

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Q: 18/12 f = 5/5 and f(1

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Q: Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of Ax…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Either prove the wff is valid or give an interpretation that is false: (p.71) 18. (EEx)[R(x) V…

A: The rules of inference are also applied in case of quantified propositions. Along with the rules,…

Q: 1. Let X and Y be non empty sets and let £: XY be given. Prove that if M is a algebra of subsets of…

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Q: Convert to a cylindrical or spherical coordinate system.

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Q: The Integrating factor of the equation (x²y³ + xy) dy dx 1 is

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Q: T(x, y) = 22ry - 167³ - 11y² on the closed square region 0 ≤ x ≤ 1,0 ≤ y ≤ 1. Absolute maximum value…

A: The given function is Tx,y=22xy-16x3-11y2 for 0≤x≤1, 0≤y≤1...........(1) To find: the maximum or…

Q: 2. For the quadratic function y = -6x² + (K + 4)x +9, find the following: a. The Axis of Symmetry of…

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Q: Solve the equation. dy dx = 7x² (8+y²) 3 N/W

A: We have to find an implicit solution of given equation.

Q: 6. Find the Laplace transform of the following functions (a) g(t) = et+2+ sint cost+to(t-2). (b)…

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Q: Consider P4 be a set of all the point on a plane through the origin in R4. The general equation of a…

A: The vector space is the base of studying the linear algebra. It is nothing but a mathematical…

Q: find the equation of a sphere passing through the point(1,-3,4),(1,-5,2),(1,-3,0) and having on the…

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