MAE 284 FINAL UAH COMPREHENSIVE SCRIPT 2026 QUESTIONS AND ANSWERS GUARANTEED TO PASSMAE 284 FINAL UAH COMPREHENSIVE SCRIPT 2026 QUESTIONS AND ANSWERS GUARANTEED TO PASS

MAE 284 FINAL UAH COMPREHENSIVE SCRIPT
2026 QUESTIONS AND ANSWERS
GUARANTEED TO PASS

◉ The numerical approximations of the derivatives discussed in
class were derived from the Taylor Series. Answer: True


◉ Higher accuracy versions of the forward, backward, and centered
finite-difference approximations of a derivative are obtained by
including more terms in the Taylor Series. Answer: True


◉ The determinant of a matrix is a scalar. Answer: True


◉ The determinant of a matrix is the same as the determinant of the
transpose of the matrix. Answer: True


◉ Gauss Elimination is the systematic process of removing
unknowns using forward elimination followed by back substitution
to obtain the unknown values. Answer: True


◉ The equal sign, "=", is used to assign data to a variable. (T/F)
Answer: True

, ◉ eye(3) will generate a 3x3 identity matrix. (T/F) Answer: True


◉ Anonymous functions need to be defined before being used. (T/F)
Answer: True


◉ The roots of a function f(x) are located at the points where the
function crosses the x-axis. (T/F) Answer: True


◉ Newton-Raphson is not an iterative method. (T/F) Answer: False


◉ Bracketing methods always require two initial estimates. (T/F)
Answer: True


◉ MATLAB's built-in fzero function requires three inputs: a function
handle, a left bracket and a right bracket. (T/F) Answer: False


◉ For the fourth iteration in the Newton-Raphson method, you will
use the estimated root location from the third iteration as the new
initial point. (T/F) Answer: True


◉ The golden section method divides the interval into two sections.
Answer: False