MAE 284 Final Exam UPDATED ACTUAL Exam
Latest 2026 Questions With 100% Correct
Answers Verified Updates By Experts (2026 /
2027) 100% Success
Bracketing methods always require two initial estimates. (T/F) - Correct Answer -
True
Bracketing methods are based on the idea that if two function values, f 1 and f 2 ,
have ________ signs, there must be at least one root between them. - Correct
Answer -opposite
MATLAB's built-in fzero function can be used to solve any equation of the form
f(x)=c. (T/F) - Correct Answer -True
Select all of the root-finding methods that require only one initial guess. Check all
that apply: - Correct Answer -Newton-Raphson , Modified Secant
In the following ODE, y is the independent variable.
, dydx=5y+e^{-x} - Correct Answer -False
In the equation below, h is the step size.
y_{i+1}=y_i+ phi h - Correct Answer -True
The Midpoint method is a first order Runge-Kutta method. - Correct Answer -False
Which of the following is based on using only the slope of the solution of the ODE
at the current point to calculate the value of the solution at the next point? -
Correct Answer -Euler
To solve higher order ODEs in Matlab, higher order ODEs must be converted to a
system of first order ODEs. - Correct Answer -True
Which of the following are MATLAB functions which implement adaptive methods
for solving an ODE? - Correct Answer -ode113, ode23, ode45
Latest 2026 Questions With 100% Correct
Answers Verified Updates By Experts (2026 /
2027) 100% Success
Bracketing methods always require two initial estimates. (T/F) - Correct Answer -
True
Bracketing methods are based on the idea that if two function values, f 1 and f 2 ,
have ________ signs, there must be at least one root between them. - Correct
Answer -opposite
MATLAB's built-in fzero function can be used to solve any equation of the form
f(x)=c. (T/F) - Correct Answer -True
Select all of the root-finding methods that require only one initial guess. Check all
that apply: - Correct Answer -Newton-Raphson , Modified Secant
In the following ODE, y is the independent variable.
, dydx=5y+e^{-x} - Correct Answer -False
In the equation below, h is the step size.
y_{i+1}=y_i+ phi h - Correct Answer -True
The Midpoint method is a first order Runge-Kutta method. - Correct Answer -False
Which of the following is based on using only the slope of the solution of the ODE
at the current point to calculate the value of the solution at the next point? -
Correct Answer -Euler
To solve higher order ODEs in Matlab, higher order ODEs must be converted to a
system of first order ODEs. - Correct Answer -True
Which of the following are MATLAB functions which implement adaptive methods
for solving an ODE? - Correct Answer -ode113, ode23, ode45
