Use Cramer’s rule to solve for x' and y' in terms of x and y: x=2x'-3y' y=x'-y'

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Q: Problem 3 Using the method of virtual work, determine the VERTICAL displacement of joint A on the…

A: Virtual work method: The virtual work approach, also known as the virtual force method or the…

Q: Evaluate the following integrals using integration by parts. x5e* dx |x3 In x dx -2x sin 2x dx

A: Hi there!! since you have asked multiple questions, we will solve the first question for you. If you…

Q: x + y - z = 9 8y + 6z = -6 -2x + 4y – 6z = 40

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Q: 1. 4x^2=ay “a” is an arbitrary constant Solve of “C” @ x=1, y=0   2. axy=7 “a” is an arbitrary…

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A: To verify that y is a solution of a differential equation, substitute y in the given differential…

Q: Find the root of the following equation through Secant method

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Q: H.w Find the inverse transform of each of the following. 1 (1) F(s)= S S-8 s-3 19 (2) F(s)=: s+2…

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Q: For what value of a and b are the vectors (a-b,2) and (4,a+b) equal?

A: Given that vectors are equala-b,2=4,a+bvector form :                  a-b,2=a-bi∧+2j∧…

Q: Find The Fourier series for the function defined by -n < x<0 f(x) = {" X + us

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Q: Find the value (or values) of x for which the curve of the given function has a point of inflection.…

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Q: Analyze the given frame. P units in kN/m

A: given- a frame carrying UDL required- to find unknown reactions.

Q: Using any Geometric Methods only: (Double Integration, Conjugate Beam, Area Moment). Determine the…

A: Area Moment Method In this method we are taking deflection at c where roller support is provide so…

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Q: ind the derivative of y with respect to x in th u а) у— u = 3x- 2 and u +1

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: H.w.pdf > H.W Use N.R First Method to solve the following function: x3 + 2X-2 Start with X1 = 1 ...

A: NEWTON RAPHSON METHODxn+1=xn-fxf'xfx=x3+2x-2f'x=3x2+2take  x1=1considering…

Q: 1. (x+ + 2y)dx – xdy = 0 %3D

A: Given:- a differential equation as shown

Q: 2. 3.0 -0.5 0.6 1.5 4.5 6.0 4. 4 4 5 -3 1 2 -9 2 -1 5 1.

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Q: B. G 10 O TTII 10 C 10 E 10 G Solve for member DE. Consider an equilateral triangle.

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Q: 7. Bernoulli Differential Equation: Find the general solution 2/4 = x³y4 ○y-3 = cx6 +3+¹ 2y-3 = 2cx6…

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Q: Find the solution, using variation of parameters, to the differential equation (D³ + D)y= sec²x.

A: Given: D3+Dy=sec2x

Q: X – 3 4. lim = 1 х-3 ух — 2- x→3 Vx – 2 – V4 – x |

A: Using the approximate method of substitution,   limx→3x-3x-2-4-x Divide numerator and denominator…

Q: Find the Fourier Transform of f(«) = {{ - x - n<x<0 0 <x < n

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Q: dy Solve the differential equation of - dx A In y = c Inx B) y = c Inx Cy=lnx + c (D) y^2 = In x + c…

A: Given,dydx=ylnxdyy=dxlnxThis is the differential equation of variable-seperable…

Q: determine the derivative of y= square root of 3x^2 + 2x

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Q: Using Fixed point Iteration identify possible root of the given function. (use four decimal places…

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Q: Using any Geometric Methods only: (Double Integration, Conjugate Beam, Area Moment). Determine the…

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Q: Given the function, S(x) = 25x - 9x² + 9x + 52 Estimate the value of the integral bounded from a-0…

A: Let the step size, h = 0.1 Hence the steps are at, 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, and 0.8 The…

Q: 5. = sin(x + y)

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Q: Find all numbers d such that the average value of f (x) = 2 + 4x-3x2 on [0, d] is equal to 3.

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Q: To find the root of the function f(x) = y, Newton Raphson method fails if.. a) f'(x) = -1 b) f'(x) =…

A: Consider the Newton Raphson method xn+1=xn-fxnf'xnwhere f'xn≠0 This clearly defined as the…

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

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Q: Solve the equation using Jacobi's method until 5 iterations. 5x₁ - x₂ + 2x3 = 12 3x₁ + 8x₂ − 2x3 =…

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Q: Locate the first nontrivial root of sin x x² where x is in radians. Use Regula-Falsi with the…

A: This plot indicate that a non trivial root is located at about 0.9

Q: Draw the s-t and a-t graphs if s=0 when t=0. (s/w) a o = 21 t(s)

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Q: To apply Simpson's 1/3 rule in integration, the number of interval must be? O 1 O 8 O 7 O O

A: Explanation: To apply Simpson's 1/3 rule in integration, the number of interval must be even number.…

Q: The characteristic equation of the matrix is 0.523 matrix expression A5 - 14A3 – 16A? + 26A + 351…

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Q: Using Newton-Raphson Method, find the root of the given function f(x) = 33x – e-2x – 32 + secx %3D

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Q: 1 (x– 2) (x – 2)² (x – 2)" f(x) = 2 + (-1)". 4 8 2n+1 Find: - a- Values of (x) that make series…

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Q: Q/A) Solve the differential equation ? dy + (cotx)y = sin³x dx

A: answer isy = -14sin2xcosx + 3cosecx8(x-12sin2x) + cexplanation is given in the below step

Q: calculate x,y and z, using gauss seidel method 4x+y+2z=4 3x+5y+z=7 x+y+3z=3

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Q: XERCISES 1: Find the gradient of the function at the given point. f(x, y, z) = x2 + y? - 2z2 + z…

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Q: D. Solve the following by Linear Equations Method. 1. (x* + 2y)dx – xdy 2. y' = csc x – ycot x %3D

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Q: Question 46 cosx dx, which of the following trigonometric identities will be used? In solving for…

A: Given integration of cos3(x) Identity function sin2x+cos2x =1

Q: Find the root of the following equation x* - x - 10 = 0 Use The fixed-point iteration method?

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Q: 1. The simplified general solution of (1 – x)y' = y² is

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Q: 1- Use Euler's method to numerically integrate. dy -2x³ + 12²- 20x + 8.5 dx from x=0 0 to x = 4 with…

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Q: 2. Determine the following: Use Bracket Method |P 2P A В C (D L L 000 a 2 2 a. Equation of the slope…

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Q: Define the Maclaurin series of the function, up to fifth degree:                             y = sin…

A: Given  Y= sinx