Numerical Methods for Engineers Exam Questions with Verified Answers Latest Update (Already Passed)
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Numerical Methods For Engineerd
Numerical Methods for Engineers Exam Questions with Verified Answers Latest Update (Already Passed)
When a variable in an equation cannot be isolated it is said to be ___________ - Answers implicit
So then if a variable in an equation can be isolated it is said to be _____________ - Answers expl...
Numerical Methods for Engineers Exam Questions with Verified Answers Latest Update 2024-2025
(Already Passed)
When a variable in an equation cannot be isolated it is said to be ___________ - Answers implicit
So then if a variable in an equation can be isolated it is said to be _____________ - Answers explicit
Algebraic - Answers A polynomial is best described as a simple example of what class of functions?
Transcendental - Answers Functions that are non-algebraic are:
Complex - Answers Roots of equations may be real or:
The bisection method requires two initial guesses that evaluate to results of opposite - Answers sign
The bisection method is a type of _______ method for solving roots of equations - Answers Bracketing
The false-position method exploits the _______ of the bracketing guesses to get an improved estimate
of the root - Answers 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. - Answers 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 ________ - Answers continuous
Repeated application of bracketing methods alway result in closer estimates of the true root and are
said to be _____ - Answers convergent
In contrast open methods sometimes _______ or move away from the root. - Answers diverge
The Newton-Raphson method uses the _____ of the function at a given value to predict the root at the
next iteration - Answers slope
The Newton-Raphson method - Answers can be either convergent or divergent
The Secant method is similar to the Newton-Raphson method except that it uses a _____ of the
derivative to predict the root at the next iteration - Answers approximation
The Secant method - Answers can be either convergent or divergent
When the true percent relative error for each iteration is roughly proportional to the error from the
previous iteration the convergence is said to be - Answers Linear
The general solution to unforced linear systems can be reduced to a characteristic equation the roots of
which are characteristic values or ________ - Answers eigenvalues
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