Holistic Numerical Methods Institute

committed to bringing numerical methods to undergraduates

Multiple Choice Test

Secant Method

 

Q1. The secant method of finding roots of nonlinear equations falls under the category of _______ methods
bracketing

graphical

open

random


Q2.The secant method formula for finding the square root of a real number R from the equation x2-R=0 is


Q3..The next iterative value of the root of x2-4=0 using secant method, if the initial guesses are 3 and 4, is

2.2857

2.5000

5.5000

5.7143


Q4. The root of the equation f(x)=0  is found by using secant method.  Given one of the initial estimates is x0=3 and f(3)=5, and the angle the secant makes with the function f(x) is 570, the next estimate of the root, x1, is

-3.2470

-0.24704

3.2470

6.2470


Q5. For finding the root of sin(x)=0, the following choice of initial guesses would not be appropriate.

 and

 and

 and

 and


Q6When drugs are given orally to a patient, the drug concentration c in the blood stream is given by a formula c = Kte-atwhere 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,

 

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