Do your calculation in 4 decimal places unless specified in the question. Solve the following linear equations system using LU decomposition with Doolittle method. 13, 4.x1 + x2 + 5x3 26, 5x1 + 3x2 + 12.x3 29. 3.x1 + 4.x2 + 16x3

Q: Use Secant Method to approximate the root of the function: f(x)= x2 - 5 at Xo = 2, x1 = 3 What is…

A: we have given the function f(x)=x2-5     x0=2, x1=3 we have to find the approximated root after the…

Q: Find the root of 4x³ +3x² + 2x +11 over the interval [-2,–1].

A: We will find out the required root.

Q: 17.12 An investigator has reported the data tabulated below for an experiment to determine the…

A: One  consider the given mode:   k=kmaxCCs+C2where, Cs  and kmax are the…

Q: Find the root of x² – e2* = 0 using: a. Bisection method between [0, 1] b. Simple Fixed-Point…

A: Given is the function f(x)=x2-e-2x The objective is to find the root using bisection method and…

Q: Solve the following questions by bisection method with |b,-a, l=1, secant method and Newton's method…

A: Bisection method uses the formula: x0=a+b2 for the interval, a, b to approximate the root. Secant…

Q: Q3 Solve the system of the linear equation below by the Gauss elimination method with pivoting. -2x2…

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Q: numerical

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Q: An electronic company produces transistors, resistors, and computer chips. The material required to…

A: As per Bartleby's answering policy, we can answer only one question and a maximum of three subparts…

Q: We want to design a ball throwing robot arm that will throw a ball with initial velocity V at an…

A: Given :-  The robot arm is at coordinates x =0 the ball will hit the ground at xf = V02 sin 2θg…

Q: 2. The altitude of a helicopter at three different instants is listed as below: 0.3 1, sec 0.2 h, m…

A: We will solve this using 2 point forward and 2 point backward difference formula

Q: For items #1 to #10 Use bisection method in solving for the root of a function e^(-x) - tan x = 0.…

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Q: Q1 Table below contains dataset of a robotic arm during a force measurement on a thigh phantom.…

A: given data  Time(s) 10.5 13.1 15.2 Force(N) 9.27 11.90 13.83 (A) lagrange interpolating…

Q: Numerical Differentiation 1. Given the following data points: 0.3 0.4 0.5 0.6 0.7 y 1.3444 1.4728…

A: Numerical analysis contains methods to solve some zeroes of complicated polynomials that are not…

Q: gm (1-ee), /m)t The velocity, v, of a falling parachutist is given by v=- where g = 9.81 m/s². Given…

A: To solve the equation using the bisection method, find the sign of the function at the endpoints. If…

Q: Q2 An electrical device was measured for its current, I fluctuates at a number of different values…

A: Given the data in the table which shows the flow of electric current at different time t. To…

Q: You have a spherical storage tank containing oil. The tank has a diameter of 6ft. You are asked to…

A:

Q: a) Consider the initial value problem(IVP); dy + y cos x = dx 1 sin 2x, y(0) = 1 %3D Approximate…

A:

Q: Solve the differential equation dy +y-e"cosu = O, O£ U LO5, ylo)=0 %3D

A: We are given the differential Equation: ⇒dydx+y-e-xcosx=0 ⇒dydx=e-xcos x-y⇒dy=(e-xcos x-y)dxOn…

Q: The RC-circuit below can be modeled as sin100t V( R=50 C= 0.1 F di i dt C = E'(t) R- +-= Given…

A: Given that,The RC-circuit can be modeled by the equation,Rdidt+iC=E'(t)Where,E(t)=sin100t,R=5…

Q: 2 -1] 6 -3 4 2 -9 9. 14 For the approximate solution xa = [-1.0, 1.0, 1.0] T, calculate the rela-…

A: Solution: The given system is 42-126-3-8-99x1x2x3=-1-814

Q: Use Secant method to approximate the root of the functior f(x)= x3 - 2x - 3 at xo = 1, x1 = 2 What…

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Q: 4. Let P,(x) be the Lagrange interpolating polynomial for the data (0,0), (0.5, y), (1, 3) and (2,…

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Q: 3. Show that every sphere through the circle x2 +y-2ax+r²=0, z=0 cuts orthogonally every sphere…

A: This is a co-ordinate geometry problem

Q: A certain gas of petroleum production was compressed during a thermodynamic process according to the…

A: Given that P=CVm where P stands for pressure and V stands for volume. The given data is: P(bar)…

Q: Given the following set of discrete data: 0.2 0.3 0.4 0.5 0.6 0.7 y(x) 0.244 0.405 0.597 0.824 1.093…

A:

Q: numerical method

A: The definition and examples of numerical method are described below.

Q: Given that f(x)=e*. By taking h=10*, where k = 1, 2, find approximate values of f'(2.2) using 4. (b)…

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Q: D estimate the integad e usiny compasite trapezoidal sle uith 2-025-

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Q: The equation that gives the depth 'x' to which a ball is submerged underwater is given by x…

A: We have to find the depth x, to which the ball is submerged underwater, using the equation…

Q: Solve questions 1-8 below by the Euler's method and RK4 method. A simple RL-electrical circuit…

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Q: 4 2 -1 2 6 -3 -8 -9 I3 14 a. Find the solution to this system using LU decomposition.

A: To Determine :-  The solution to this system using LU decomposition.