numerical analysis

Iteration method is also known as …………………………

• method of tangent

• method of falsi

• succcesive approximation method

If f(x) is continuous in the interval [a,b] and if f(a) and f(b) are of opposite signs then the equation f(x)=0 has atleast one root lying between a and b.

• true

• false

The order of convergence of the Newton Raphson’s method is ……………

• 1

• 2

• atleast 1

• atleast 2

If f(x) is a polynomial then the equation f(x)=0 is called an ……………

• transcendental equation

• algebraic equation

• non-algebraic equation

Let f(x)=x³-3x+1. Then one root of f(x) lies between ……….. and …………..

• 2 and 3

• -1 and 1

• 1 and 2

• 0 and 1

∆2^x=…………….

• 2^(x+h)-2^x

• 2^(x+h)

• 2^(x-h)-2^x

• 2^(x-h)

To find the negative root of x³-2x+5=0 , we find the positive root of

• -x³-2x-5=0

• x³+2x+5=0

• x³-2x-5=0

• x³+2x-5=0

8. The process of cutting of digits and retaining required number of digits is called ……………….

• percentage error

• rounding off

• digital off

• cutting off

Error in trapezoidal rule is of order

• h

• h²

• h³

• h⁴

One root of the equation x³-2x-5=0 lies between ………….

• 2 and 3

• -1 and 0

• 0 and 2

• 1 and 2