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NUmerical analysis
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B.Tech./B.Tech.(Int.) IV Semester
Engineering Mathematics-IV, MAL0409
Question Bank, Unit-I
Regula-Falsi method
1. Find the root of the equation 0753 xx , that lies between 2 and 3,
correct to 4 places of decimals, using the method of false position .
2. Find the root of the equation xex sin4 , that lies between 0 and 0.5,
correct to 4 places of decimals, using Regula-Falsi method .
3. Find the root of the equation 04083 xx , correct to 4 places of decimals,
using the method of false position. .
4. Find the root of the equation 2xxe , correct to 4 places of decimals,
using the method of false position.
5. Find the negative root of the equation 04.02.22 23 xxx , that lies
between -1 and 0, correct to 4 places of decimals, using Regula-Falsi method .
Newton-Raphson method
1. Find the smallest positive root of the equation 0893 23 xx ,
correct to 4 places of decimals, using Newton-Raphson method.
2. Find the cube root of 17 correct to 4 places of decimals, by using
Newton -Raphson method.
3. Find the root of the equation 12 xe x, correct to 4 places of decimals,
using Newton-Raphson method, the root lies between 2 and 3.
4. Find the root of equation 0104 xx correct to 4 places of decimals, by using
Newton -Raphson method.
5. Find the root of equation 0cos xxe x correct to 4 places of decimals, by using
Newton -Raphson method.
Simple Iteration Method
1. Find the positive root of the equation 07log2 10 xx ,
correct to 4 places of decimals, using the method of simple iteration.
2. Find the root of the equation 010023 xx , correct to 4 places of decimals,
using the method of simple iteration, that lies between 4 and 5.
3. Find the root of the equation 013 xx , correct to 4 places of decimals,
using the method of simple iteration, that lies between 0 and 1.
4. Find the root of the equation 0sin3 xexx , correct to 4 places of decimals,
using the method of simple iteration, that lies between 0 and 1.