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EVEREST ENGINEERING AND MANAGEMENT COLLGE BE (Electronic and Computer) II/II Numerical Method Tutorial 1 1. Find a root of each of the following equations using bisection method. a. ex -x-2=0 b. sinx-2x+1=0 c. logx-cosx=0 d. 4x2-2x-6=0 2. Use the false position formula repeatedly and obtain roots of the nonlinear equations. a. x-e-x-2=0 b. sinx-x-2=0 c. 3x2+6x-45=0 d. 4x3-2x-6=0 3. Compute a root of each of the following equation using Newton Raphson method. a. X3-1.2x2+2x-2.4=0 x0=2 5 2 b. X -3x -100=0 x0=2 3 2 c. X -7x +15x-9 d. 2x=cosx+3 e. X=e-x f. X3-4x+1 4. Use the secant method to compute a root of the following equation. a. X3+x2-3x-3=0 b. 3x+sinx-ex=0 c. f(x)=sinx-ex d. x-ex+2=0 e. 4x3-2x-6=0 5. Use the fixed point iteration method to evaluate a root of the equation. a. X2-x-1=0 b. X2-2x-3=0 Submission date: 2068/4/9