06- What is the Newton-Raphson iteration scheme for finding the square root of a real number R fromen the equation: x2R=0 A) xi+1=2xi+R B) xi+1=23x4+R C) xi+1=21(xi+xiR) D) xi+1=21(3xi+xiR) c) Newton-Raphson method can't be applied for this problem 07. In Simpson's 3/8th rule, the function to be integrated at the integral limit [a,b] can be approximated as a prior to integration. A) 2nd order Lagrange polynomial. B) 2nd order Newton's polynomial C) 2nd order standard polynomial D) 3rd order Newton's polynomial E) All options are not applicable 08- The first two iteration for solving the following non-linear function using the Regula-Falsi method is summarized in the table below: f(x)=5x35x2+6x2 What is the interval of the 2 nd iteration, i.e. i=2 ? A) [0.3898,1] B) [1/3,0.3898] C) [1/3,0.6667] D) [0.6667,1] E) All options are not applicable 06- What is the Newton-Raphson iteration scheme for finding the square root of a real number R fromen the equation: x2R=0 A) xi+1=2xi+R B) xi+1=23x4+R C) xi+1=21(xi+xiR) D) xi+1=21(3xi+xiR) c) Newton-Raphson method can't be applied for this problem 07. In Simpson's 3/8th rule, the function to be integrated at the integral limit [a,b] can be approximated as a prior to integration. A) 2nd order Lagrange polynomial. B) 2nd order Newton's polynomial C) 2nd order standard polynomial D) 3rd order Newton's polynomial E) All options are not applicable 08- The first two iteration for solving the following non-linear function using the Regula-Falsi method is summarized in the table below: f(x)=5x35x2+6x2 What is the interval of the 2 nd iteration, i.e. i=2 ? A) [0.3898,1] B) [1/3,0.3898] C) [1/3,0.6667] D) [0.6667,1] E) All options are not applicable