NM-Q1

Bisection method is also known as ____ method.

• Newton Raphson

• Regula Falsi

• Interval Halving

• Bolzano

One root of the equation x³ +4x²-8x+2 =0 lies between ________.

• -1 and 0

• -1 and 1

• 0 and 1

In bisection method, f(x) is continuous and it can be ________

• algebraic

• transcendental

• algebraic or transcendental

If f(a) and f(b) are opposite signs then there is _______ between a and b.

• exactly one root

• at most one root

• any number of roots

• at least one root

Bisection method is a simple but slowly convergent method.

• True

• False

Which of the following is an algebraic equation ?

• 3x⁴-8x³+5x²-6x+7=0

• cos3x -4x =0

• ax³+bx²+c=4

Which of the following is a transcendental equation ?

• ax³+bx²+c=4

• 3x⁴-8x³+5x²-6x+7=0

• cos3x -4x =0

False Position method is used to solve

• system of linear equations

• eigen value problems

• nonlinear equations

The equation f(x) = 0 is called ______ if f(x) involves logarithmic, trigonometric and exponential functions.

• algebraic

• numerical

• transcendental

Numerical methods ......

• is to find the exact solutions of mathematical problems.

• is a study of algorithms that use numerical approximations in solving problems.