Mae 284 Comprehensive Examination Test Complete Questions With Accurate Solutions

MAE 284 COMPREHENSIVE EXAMINATION
TEST COMPLETE QUESTIONS WITH
ACCURATE SOLUTIONS

●● Discontinuous functions can result in a bracket with opposite sgned
function values having an even number of root (T/F)
Answer: True


●● Bracketing methods always converge, but usually do so more slowly
than open methods (T/F)
Answer: True


●● The secant method is similar to the Newton-Raphson method, but
uses an approximation of the derivative (T/F)
Answer: True


●● MATLAB's built in fzero function is based on the Newton-Raphson
method (T/F)
Answer: False


●● Suppose you are given the [a,b]= mae284(p,q,r,s) and the user
doesn't specify the inpt value for 's', which line of code can be used to
define a default value of s=100 wihtin the function?

, Answer: if nargin <4, s=100; end


●● The incremental search method uses input values spaced at
________ spaced intervals
Answer: evenly


●● The bisection algorithm is an open method (T/F)
Answer: False


●● The bisection method is a bracketing method (T/F)
Answer: True


●● The main advantage of the secant method over the Newton-Raphson
method is that the secant method only requires analytically finding one
derivative (T/F)
Answer: False


●● What is the first step if you are asked to find all real roots of a
function?
Answer: Graph the function


●● Which one of the followingfunctions can be used to find the number
of roots of a function between a specified lower and upper bound?