numerical analysis qb

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.