Mathematics Quiz

The equation tanx-x=0 is______equation.

• linear

• tangent

• transcendental

• none of these

Which of the statements below regarding the convergence of the bisection method is TRUE?

I. The iteration is always guaranteed to converge.

II. The order of convergence is linear.

• I

• II

• I and II both

• [-1; 0]

• [-2; 0]

• [0; 1]

• [0; 2]

Which of the following parameters is not required to use the Golden Section Search method for optimization?

• The lower bound for the search region

• The upper bound for the search region

• The golden ratio

• The function to be optimized

• Interpolation

• Iterative

• Polynomial equation

• Extrapolation

Simpson's (1/3) rule is obtained by putting n=______ in general quadrature formula

• 1

• 2

• 3

• 4

• E-1

• 1/E

• E

Find n if x₀=0.75825, x=0.759 and h=0.00005.

• 10

• 15

• 20

• 25

Which method is used to find the roots of a polynomial equation by iteratively refining an initial guess?

• Bisection method

• Newton-Raphson method

• Secant method

• All of the above