Pretest Assessment

Which method is commonly used to find the approximate solution of a nonlinear equation?

• Newton-Raphson method

• Gaussian elimination

• Simpson's rule

• LU decomposition

Which method is used to find the roots of a polynomial equation?

• Bisection method

• Secant method

• Newton-Raphson method

• Lagrange interpolation

Which numerical integration method approximates the definite integral using a series of straight-line segments?

• Trapezoidal rule

• Simpson's rule

• Gaussian quadrature

• Romberg integration

What is the basic difference between analytical Solution and numerical solution?

• Analytical solution is exact but numerical is approximate

• Numerical solution is exact but analytical is approximate

• both of them

• none of them

We wrote 2.564 rather than 2.5636, What type of error occurred here?

• Round off

• Absolute

• Percentage

• None of them

Which method is used to approximate the solution of an initial value problem for a first-order ordinary differential equation?

• Euler's method

• Runge-Kutta method

• Simpson's rule

• Bisection method

Which method is used to interpolate values between known data points using polynomial functions?

• Newton's divided difference interpolation

• Lagrange interpolation

• Simpson's rule

• Trapezoidal rule

Which method is used to find the missing value?

• Numerical integration

• Linear Regression

• Euler's method

• Interpolation

Which method is used for prediction?

• Linear Regression

• Least Square Method

• Polynomial Regression

• All of them

The error indicates a problem.

• True

• False