Math Chapter Wise question with answer

Q01 Using Runge-Kutta method of order 4 for the following initial value problem () 2 2 dy x y,y 1 0 dx = + = the value... English · UP Higher Asst. Prof. 2021 Q02 The value of the root nearest to 2 after first iteration of the equation x4 – x – 10 = 0 by Newton-Raphson method i... English · UKPSC GIC 2018 Q03 Let φ:[0, 1] → → → ℝ be three times continuously differentiable. Suppose that the iterates defined by xn+1 = φ(xn),... English · Bihar (TRE 1.0) -2023 Q04 While solving the equation x2 – 3x + 1 = 0 using the Newton-Raphson method with the initial guess of a root as 1, t... English · Bihar (TRE 1.0) -2023 Q05 Consider the system of equations 1 2 3 5 2 1 x 13 -2 5 2 x = -22 -1 2 8 x 14 With the initial guess of the solution... English · Bihar (TRE 1.0) -2023 Q06 For what values of α and β, the quadrature formula ∫ 1 -1 f(x)dx = αf(-1) + f(β) is exact for all polynomials of de... English · Bihar (TRE 1.0) -2023