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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
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