Applied Numerical Methods With Python For Engineers And Scientists Certification Evaluation Verified Questions With Complete Solutions

APPLIED NUMERICAL METHODS WITH
PYTHON FOR ENGINEERS AND SCIENTISTS
CERTIFICATION EVALUATION VERIFIED
QUESTIONS WITH COMPLETE SOLUTIONS

●● So then if a variable in an equation can be isolated it is said to be
_____________
Answer: explicit


●● Algebraic
Answer: A polynomial is best described as a simple example of what
class of functions?


●● Transcendental
Answer: Functions that are non-algebraic are:


●● Complex
Answer: Roots of equations may be real or:


●● The bisection method requires two initial guesses that evaluate to
results of opposite
Answer: sign

, ●● The bisection method is a type of _______ method for solving roots
of equations
Answer: Bracketing


●● The false-position method exploits the _______ of the bracketing
guesses to get an improved estimate of the root
Answer: Magnitude


●● The false-position method provides a better estimate of the root than
the bisection method for functions that closely approximate a line in the
region of the bracketing guesses.
Answer: True


●● To guarantee that there is at least one root between two values of a
function that have opposite sign the function must be real and ________
Answer: continuous


●● Repeated application of bracketing methods alway result in closer
estimates of the true root and are said to be _____
Answer: convergent


●● In contrast open methods sometimes _______ or move away from
the root.
Answer: diverge