Graphics and Numerical Methods Quiz

Newton-Raphson method is used to find:

• Integrals

• Matrices

• Roots of equations

• Derivatives

Trapezoidal rule is used for:

• Differentiation

• Matrix solving

• Numerical integration

• Root finding

Gauss elimination is used to solve:

• Derivatives

• Linear equations

• Integrals

• Polynomials

Which method uses divided differences?

• Lagrange interpolation

• Newton’s interpolation

• Simpson’s rule

• Bisection

Which method gives exact result for linear function integration?

• Trapezoidal rule

• Simpson’s rule

• Gauss quadrature

• Newton-Raphson

Simpson’s rule is based on:

• Trapezoids

• Parabolas

• Lines

• Cubes

Order of error in trapezoidal rule is:

• O(h)

• O(h²)

• O(h³)

• O(h⁴)

Which method requires initial guesses?

• Bisection method

• Gauss elimination

• Trapezoidal rule

• Simpson’s rule

R is mainly used for:

• Web development

• Mobile apps

• Statistical computing

• Game development

Which function in R reads CSV files?

• read.file()

• read.csv()

• load()

• import()