1. SY BCA
SSC
Assignment – ch-2
Heading in index: Numerical Solution of non-linear equations
Submission Date div-A: 10/8/2011 time-11:30 to 12:30
Submission Date div-B: 12/8/2011
1)Explain different types of non-linear equations.
2)Explain method of finding solution of non-linear equation.
3)Explain Descartes’ rule of sign.
4)Write the termination criteria for iterative method.
5)Describe the false-position method & its iterative formula.
6)Describe the Secant method & its iterative formula.
7)Describe the Newton-Raphson method & its iterative formula.
8)Describe the Successive approximation method & its iterative
formula.
9) Write the convergence rate of bisection, false-position, Newton-
Raphson and secant.
10) Using Bisection method find the root of equation
[1] x3-4x+9=0
[2] cosx-xex=0
correct upto 3 decimal places.
11) Using false- position method find the root of equation
[1] x3-4x+1=0
[2] xlog10x - 1.2=0
correct upto 3 decimal places.
12) Using Secant method find the root of equation
[1] x3+x2-1=0
[2] xsinx+cosx=0
correct upto 3 decimal places.
13) Using Newton-raphson method find the root of equation
[1] x3-4x-9=0
[2] √10
1

2. correct upto 4 decimal places.
14) Using successive approximation method find the root of equation
[1] x3-x-4=0
[2] cosx+1=3x
correct upto 4 decimal places.
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