1: Using the bisection method, find the smallest positive root for the function f(x) =x*-3sinx+1. (8 =1x10-3)
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- Rational Functions How would I find Roots at A and B, where A < B ?Using the Ritz method to find an approximate solution with degree 2 polynomial for the nonlinear problem.After you have previously put the equation in the variational form. y'' = (3/2) y2 with boundary conditions : y(0) = 0, y(1) = 1 Also please check the attached picture. I need complete solution please, thanks in advance.Apply six decimal place rounding where applicable. The equation f(x) = x^2 - 8 = 0 has a root near x = 3 a) Apply four iterations of the Secant Method, taking the initial approximations and , to approximate the value of this root. Tabulate your iterations like in the lecture notes. b) Determine the number of significant digits to which the last iteration’s -value approximates the true solution of the equation.
- non-homogenous equation using undetermined coefficient or variation of parameters. show complete details of solution and avoid using wronskian method pleaseEquation: f(x) = x3 - 3 in the interval [1,2] Approximate the root of the abive equation in the interval given using Bisection method to a relative error of 0.1.euler methods for the numerical of the equation
- SOLUTION OF A NONHOMOGENEOUS EQUATION: The Method of Undetermined Coefficientsf(x) = x^2-12=0 has a root near x=3.Apply 4 iterations of the secant method with initial approximations X1=2 and X2=3 in a table form and determine the number of iterations X3 value approximates the true solutions of the equationUsing Newton - Raphson method to find the real root for the function: f(x) = x² - 12x + 21, with initial point (x0 = 0), correct (5) decimal place (dp). *
- 0<x<2pi F(x)=-4cosx G(x)=2cosx+3 graph f(x) and g(x) on the same coordinate system for 0<x<2pi and solve f(x)=g(x) on [0,2pi] and label point of intersection on the graph (both x and y values)This is a Linear Algebra with Differential Equations problem. Specifically, it is a rational function. (a) Count the number of multiplications and additions needed to evaluate them using simple order of operations. (Remember that division is counted as a "multiplication") (b) Find an efficient method for evaluating the rational function and count the number of multiplications and additions needed.Find the general solution of this equation. Pls test the exactness, solve for integrating factor, and find the F (function) to complete the gen. solution. PLS USE INTEGRATING FACTOR METHOD