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MULTIPLE CHOICE TEST

(All Tests)

SECANT METHOD

(More on Secant Method)

NONLINEAR EQUATIONS

(More on Nonlinear Equations)

 

Pick the most appropriate answer.

1. Secant method of finding roots of nonlinear equations falls under the category of _______ methods
bracketing

open

random

graphical


2.The Secant method formula for finding the square root of a real number R from the equation is


3.The next iterative value of the root of using secant method, if the initial guesses are 3 and 4 is

2.2857

2.5000

5.5000

5.7143


4. The root of the equation f(x)=0  is found by using Secant method.  Given one of the initial estimates is and the angle the secant makes with the function f(x) is 570, the next estimate of the root, x1 is

-3.2470

-0.2470

3.2470

6.2470


5. For finding the root of Sin(x)=0, the following choice of initial guesses would not be appropriate.

 and

 and

 and

 and .


6. When drugs are given orally to a patient, the drug concentration c in the blood stream is given by a formula where K is dependent on parameters such as the dose administered while a is dependent on the absorption  and elimination rates of the drug.  If  K=2 and a=0.25, where t is in seconds and c is in mg/ml, the time at which the maximum concentration is reached is given by the solution of the equation,

 

Multiple choice questions on other topics

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468 and 0717624.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.