MAE 284 FINAL UAH ACTUAL PAPER 2026
QUESTIONS WITH SOLUTIONS GRADED A+
◉ A student is attempting to create a function file named
quiz1_quiestion4.m After three tries, they type a function header
that work correctly. All four attempts are listed below. Which one of
the listed function headers is error-free? Answer: function [d, e] =
quiz1_question4(a, b, c)
◉ The false position method is based on the false assumption that
the function can be approximated by a(n) ________ ? Answer: Straight
Line
◉ Bracketing methods always require two initial estimates. Answer:
True
◉ The Bisection method is a bracketing method. Answer: True
◉ For the bisection algorithm, the number of iterations required to
attain a particular error cannot b calculated in advance. Answer:
False
,◉ One disadvantage of the Newton-Raphson method is that it
requires the user to analytically find the derivative of the function.
Answer: True
◉ Inflection points and local maximums and minimums greatly
increase the speed at which the Newton-Raphson method converges.
Answer: False
◉ The main disadvantage of the Newton-Raphson method is that it
may not converge. Answer: True
◉ In the Newton-Raphson method, the new estimate at x(i+1) is the
intersection of the tangent line and the x-axis. Answer: True
◉ The main advantage of the Newton-Raphson method is that it
always converges. Answer: False
◉ Suppose you are given a matrix A, which commands will calculate
the inverse of A? Answer: A^(-1) A^-1 inv(A)
◉ Suppose you are given the following function:
[a,b]=mae284(p,q,r,s) If the user does not specify the input value for
's', which line of code can be used to define a default value of s=100
within the function? Answer: if nargin < 4, s=100; end
, ◉ can separate both array elements and multiple commands.
Answer: , comma
◉ Anonymous functions need to be defined before being used.
Answer: True
◉ MATLAB can solve problems without closed-form solutions.
Answer: True
◉ If the function values of a bracket have the same sign, there are
guaranteed to be no roots in the bracket. Answer: False
◉ Tangent points in a function can cause an opposite-valued bracket
to contain an even number of roots. Answer: True
◉ Bracketing methods always converge, but usually do so more
slowly than open methods. Answer: True
◉ The main disadvantage of the False Position method is that it can
diverge. 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. Answer: True
QUESTIONS WITH SOLUTIONS GRADED A+
◉ A student is attempting to create a function file named
quiz1_quiestion4.m After three tries, they type a function header
that work correctly. All four attempts are listed below. Which one of
the listed function headers is error-free? Answer: function [d, e] =
quiz1_question4(a, b, c)
◉ The false position method is based on the false assumption that
the function can be approximated by a(n) ________ ? Answer: Straight
Line
◉ Bracketing methods always require two initial estimates. Answer:
True
◉ The Bisection method is a bracketing method. Answer: True
◉ For the bisection algorithm, the number of iterations required to
attain a particular error cannot b calculated in advance. Answer:
False
,◉ One disadvantage of the Newton-Raphson method is that it
requires the user to analytically find the derivative of the function.
Answer: True
◉ Inflection points and local maximums and minimums greatly
increase the speed at which the Newton-Raphson method converges.
Answer: False
◉ The main disadvantage of the Newton-Raphson method is that it
may not converge. Answer: True
◉ In the Newton-Raphson method, the new estimate at x(i+1) is the
intersection of the tangent line and the x-axis. Answer: True
◉ The main advantage of the Newton-Raphson method is that it
always converges. Answer: False
◉ Suppose you are given a matrix A, which commands will calculate
the inverse of A? Answer: A^(-1) A^-1 inv(A)
◉ Suppose you are given the following function:
[a,b]=mae284(p,q,r,s) If the user does not specify the input value for
's', which line of code can be used to define a default value of s=100
within the function? Answer: if nargin < 4, s=100; end
, ◉ can separate both array elements and multiple commands.
Answer: , comma
◉ Anonymous functions need to be defined before being used.
Answer: True
◉ MATLAB can solve problems without closed-form solutions.
Answer: True
◉ If the function values of a bracket have the same sign, there are
guaranteed to be no roots in the bracket. Answer: False
◉ Tangent points in a function can cause an opposite-valued bracket
to contain an even number of roots. Answer: True
◉ Bracketing methods always converge, but usually do so more
slowly than open methods. Answer: True
◉ The main disadvantage of the False Position method is that it can
diverge. 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. Answer: True
