17. Find the decomposition of the function h(x)= Vx² - Jx two different ways. %3D

Q: Activity 2: Answer the following integrals using the Integration by Partial Fractions 2. 1. dx = dr

A: Given:

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Q: /B/ Find the inverse Laplace Transformation by using partial fraction 2s3+2s²+4s+1 ? (s2+1)(s²+2s+1)…

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Q: 1 (b) Evaluate the integral S ; dx 2x2-12x+26

A: To evaluate: The integral of . Formula used: Integration Formula:

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Q: Give the general solution to x²y" + xy' + (4x² – 9)y = 0 in terms of Bessel functions. |

A: We need to find solution in Bessel function.

Q: 35. Give linearly independent functions that are annihilated by D² (D² – 2D + 10).

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A: ∫abx2-9dxApply the Sum Rule:…

Q: x*y"-xy'+y = 0 c) Y, = In x

A: Let's find.

Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

A: Given: For any function y=f(x) can be expressed as x=f(y) in standardmathematical methods for…

Q: Question 26 Determine the integral: x²cosxdx A x²sinx-2xcosx +2sinx + C B x²sinx + 2xcosx-2sinx + C…

A:

Q: Evaluate the integral using Partial Fraction Decomposition. t3 +t -1 dt t4 + 2t2 + 1

A:

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Q: Given that y' = 2x + x²y, where y(0) = -1 with step size h=0.1. Estimate the values of y(0.2) using…

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Q: Find an integrating factor to the linear D. E. In(9 x+16)y+ y =20 9x +16 p(x)= (6 x+ 14) In(18 x…

A: Given the linear D.Eln (9x+16)y'+99x+16y=20we need ti find the integrating factor

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Q: 11. Find two different antiderivatives of the function f(x) = 6x² +2ex. 1

A:

Q: 1 Find the most general antiderivative of the function x3 + 4x

A:

Q: Q2:- Apply romberg's method to the integral of f(x) = nx*cos(-Tx to 2 with Tol = 10-4

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Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

A:

Q: (h) Write down the Lagrange's polynomial through (x), fo). (x1, f1), (x2, f2). Hence express 3x²…

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Q: A b B d a The integral 15x²x³43x - 19 (x + 1)²(x² - 6x +13) can be rewritten as Ax + B D C + ax² +…

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Q: 3 c3 4. Evaluate the integral S ex+ydydx '2

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Q: Use Partial Fraction Decomposition to evaluate the following integrals.

A: To find the integration by partial fraction

Q: Use​ Euler's method with step size h​ = 0.2 to determine value of y.

A: To determine value of y at x=0.1 by solving the differential equation dydx=y−x1+x,y0=1, and h=0.2

Q: 3t – 2 dt t + 1

A:

Q: Evaluate the integral. 3x-7 (a) S- dx x2-2x-8

A: Answer and explanation is given below..

Q: Find y2 using Reduction of Order xy" – 3xy' + 4y = 0 , %3D

A: Given differential equation x2y''−3xy'+4y=0....1 Given a solution y1=x2 We have to find the y2 We…

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Q: Find T4(x) Taylor polynomial of degree 5 of the function f(x)=cos(x^3) at a=0

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Q: Q6) Use LU Decomposition method to solve the sy stem: 6x - y - 4z = 9.3 x + y – 3z = 1.9 x + 2y – z…

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Q: 8. DETAILS SCALCET9M 3.10.003. Find the linearization L(x) of the function at a. Rx) = Vx, a = 64…

A: given,

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A: We have to be find

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A:

Q: Find the integration inner product on C[-4, 3] of the given functions. f(x) = 16x g(x) = 2x?

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Q: evaluate (b) By repeated applications of the reduction formulae dx (HINT: First use integration by…

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Q: Solve the following optimization problem by using Lagrange method: Maximize f(x,x;)=2x, + x, – 3x²…

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Q: 4. Expand f (x) = 1 around a = 0, to get linear, quadratic and - 1-x cubic approximations.

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Q: a) the linear approxinma ion to the function + 3X ät

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Q: Find the net change in ve]locity over [1, 4] of an object with a(t) = 8t − t2 m/s2.

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Q: Q6) Use LU Decomposition method to solve the sy stem: бх — у — 4z 3D 9.3 у — 42 x + y – 3z = 1.9 x +…

A: for a linear matrix AX+b, if a can be written as LU matrix, this means we can rewrite Ax=b as: Ax=b…

Q: 4 VI 2. Evaluate the integral: xy dydx. 2

A:

Q: 3 Find absolute extrema for fCx) = x°-9x´+15x -3 %3D in terval [o,3] Oへ

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Q: 3. Express the general solution in terms of Bessel functions: z²y" + 4ry' + (x² + 2)y = 0

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: (5x2-3х+18)ӑх 9x-x3

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Q: Find the general solution using Reduction of Order: x2y''-xy'+y=0 y1=ln x

A: