a.) Solve the by Gauss elimination. Show all steps of the computation b.) Substitute your results into the original equations to check your answer 10x1 + 2x2 – X3 = 27 -3x — 5х, + 2x3 — -61.5 X1+ X2 + 6хз — -21.5
Q: Compute for the area of the following figure using area by triangles. Use two triangles only.
A:
Q: Translate the given problem into a second - degree polynomial in x using Lagrange interpolating…
A: Asked: To fit the given data into a second degree polynomial [P(x)] using Lagrange interpolating…
Q: Using any Geometric Methods only: (Double Integration, Conjugate Beam, Area Moment) Determine the…
A:
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: A line is measured on a windy day as 338.65 m. The same line measured 338.37 m on a calm day. If the…
A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…
Q: 7. Manning's equation is not used to calculate
A: To find : Mannings equation is not used to calculate what.
Q: C_ Using the method of adding vectors, find the result of the following figure: 60 If you know the…
A: Draw the figure. Assume n = 0
Q: 30 kN 50 kN to B D A 1 m 3 m 2 m Figure P-403
A:
Q: x + y - z = 9 8y + 6z = -6 -2x + 4y – 6z = 40
A:
Q: Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of Ax is…
A: Given -4c1-c2+12c3=235015c1-3c2-c3=3800-3c1+18c2-6c3=1200now,c1=3800+3c2+c312 →1c2=1200+3c1+6c318…
Q: A. Solve the following system of equations using the Gauss-Jacobi iteration method. 2. 27x + 6y –z =…
A:
Q: 21.21 An 11-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 +…
A: The given shear force is as follows: Vx=5+0.25x2M=Mo+∫0xVdx
Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 6]. r sin 0 = In r + In cos 0…
A:
Q: Using any Geometric Methods only: (Double Integration, Conjugate Beam, Area Moment) Determine the…
A:
Q: The force F is directed from A toward D and D is allowed to move from B to C as measured by the…
A: Given that :
Q: Interpolate between In (4) = 1.386294361 and In (8) = 2.079441542. Also, compute the percent…
A: Given Ln(4) =1.386294361 Ln(8) = 2.079441542
Q: äbäi 25 Q4) Figure (Q4) shows vectors A and B. Find vector C such that vectors A + B + C = 0. Write…
A:
Q: Potential function is given as p = x² + y2. What will be the stream function (4) with the condition…
A: Given- potential function-ϕ=x2-y2It is needed to find the stream function ψ@x=y=0
Q: Translate the given problem into a second-degree polynomial in x using Lagrange interpolating…
A:
Q: A line’s length has been measured repeatedly on different occasions. The following are the results…
A: Given:- The results obtained after repeated measurement of the line are:- 1st measurement record =…
Q: 3. y 1 Determine the location of the centroid of the figure shown above measured from the y-axis.…
A:
Q: 1. (x+ + 2y)dx – xdy = 0 %3D
A: Given:- a differential equation as shown
Q: Estimate the error in evaluating the function f(x) = e2x* sin x %3D near the point x = 1.369, if the…
A:
Q: 0.3 0.6 0.9 1.2 1.5 1.8 °f(x)c f(x) 0.5 0.6 0.8 1.3 2 3.2 4.8
A:
Q: Using Newton's Interpolating Polynomial, find f(10) (5,12), (6,13), (9,14), (11,6)
A:
Q: What is the area of the below figure if you know d=20.3? (use trapezoidal rule) Answer: 32 28 24 26
A: By trapezoidal rule:-
Q: determine the derivative of y= square root of 3x^2 + 2x
A:
Q: Evaluate f (x)=_coz from to using Simpson's % rule. with four segments. Round off all computed…
A:
Q: Using any Geometric Methods only: (Double Integration, Conjugate Beam, Area Moment). Determine the…
A:
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: Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of s…
A:
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: 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: Problem 120 Two vertices of a rectangle are on the positive x-axis. The other two vertices are on…
A:
Q: Gauss Elimination Method Problems 1. Solve the following system of equations using Gauss elimination…
A:
Q: Solve using Lagrange Multipliers, final answers should have 4 decimal places. A. Find the maximum…
A: From the Given Data:
Q: What Vector can you use to replace these three vectors?
A:
Q: roblem 1. The rectangular area in figure (a) is split into three equal areas and arranged as shown…
A:
Q: Find the relative error of the following cases. Also, detemine the number of significant digits in…
A: Given data: x=2.818238112 and x=2.81823 z=0.00000067 and z=0.000006
Q: Using Newton-Raphson Method, find the root of the given function f(x) = 33x – e-2x – 32 + secx %3D
A:
Q: Use the LU decomposition method to solve the system of simultaneous linear equations given below. X…
A:
Q: Applying the Newton-Raphson method to approximate a root of f(x) = xe" with initial guess Po = 1,…
A:
Q: Determine the values of the variables to satisfy the equation using a) Gaussian Elimination and b)…
A:
Q: S(x) 3.5 0.285714 3.6 0.277778 3.7 0.270270 3.8 0.263158
A: One of the most used methods is newtons forward difference method
Q: Answer the following using the sum and difference of two cubes. 1. 853+r2 2. 64a²+b3
A: X3+y3 = (x+y)(x2-xy+y2) x3-y3 = (x-y)(x2+xy+y2) These are the formulas while we are factoring…
Q: XERCISES 1: Find the gradient of the function at the given point. f(x, y, z) = x2 + y? - 2z2 + z…
A:
Q: D. Solve the following by Linear Equations Method. 1. (x* + 2y)dx – xdy 2. y' = csc x – ycot x %3D
A:
Q: Using the figure and table below, solve the following: NOTE: Express your answers to 4 decimal…
A:
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: 4m 4 m
A:
Step by step
Solved in 3 steps with 3 images
- Multiply the Following Vectors using cross Product method. W = † x F F = ( 5i + 3j – 8 k) N f = (2i – 4j – 5k) mUse laplace transform to solve the given initial-value problem. Graph your solution on interval (0,8pi); a) y''+y=summation from k=1 to positive infinity of alpha(t-Kpi), y(0)=0,y'(0)=1.Y:1. O %01 H.w.pdf > H.W Use N.R First Method to solve the following function: X3 + 2X -2 Start with X1 = 1
- 7. Use the Laplace transform and its inverse to solve the following initial-value problems: a) y = 2e*; y(0) =– 1 b) y + y = e2t; y(0) =0 Ans. a) y = 2e* – 3, b) y = (e2t – e-t)Submit your final answer here then submit your solutions (.pdf and.xlsx) in the solution bin. Integrate the equation below using Four-Point Gauss Quadrature between limitsx=0 to x = 3 3D3 and y = 0 to y = 2.5. Hint: this is a double a integration. Integrate first with respect to one variable to convert the double integration into a single integration with one variable. f(x,y) = 7x + 4y 8 + 5x5 – 2y +5xyFind local extrema(maxima or minima)of the function. f(x,y)=2xy-5x^2-2y^2+4x+4y-4
- 3. Use Cramer's rule to solve the linear system x + y + 3z = 1 x + 3y + z = 2 x + y + 3z = 3Find the Laplace transform of f(t)={0, t<3 ={t2−6t+13, t≥3 F(s)=Q4: Solve the following system of linear equations using Jacobi method: X₁+ X₂+4X₁-9 8X₁-3X₂+2X;=20 (0) 4X1+11X₂-X3-33, Assuming x₁ = (0) = x3 = 0 (0) = x₂ = (20 Mark)
- 5 CHAT Vx MATH Determine the values of the variables to satisfy the equation using a) Gaussian Elimination and b) Gauss- Jordan Elimination. 2w +3x- 4y + z = 9 w - 3x +y - z = 5 -2w – x- 3y +z = -11 w +x +y-3z = -4 Ans.w = 5.7971, x = -0.5145, y = 1. 1304, and z = 3.4710Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹- Ax is less than or equal to Tol = 1 × 10-4. Show the detailed calculation of the first 3 iterations. -norm of 10x₁ + 2x₂x3 = 27 x₁ + x₂ + 5x3 = -21.5 - 3x₁ - 6x₂ + 2x3 = - 61.5Please do not round off in all computations and box all final answers Conduct the following using either Double Integration Method, Moment Area Method, or Conjugate Beam Method Let El be constant. Given that from Point A, X = 2.93 m. What is the value of El(y)? Given that from Point A, x 8.83 m. What is the value of El (y')? Given that from Point A, x = 5.49 m. What is the value of El(y)? Given that from Point A, x = 1.32 m. What is the value of El (y')? 90 KN/m 52 KN/m 1.28 m A 4.70 m 5.50 m