Secant Method Nonlinear Equations
Multiple-Choice Test
Secant Method
Chapter 03.05
1. The secant method of finding roots of nonlinear equations falls under the category of _____________ methods.
A) bracketing
B) graphical
C) open
D) random
2. The secant method formula for finding the square root of a real number [pic] from the equation [pic]is
A) [pic]
E) [pic]
F) [pic]
G) [pic]
3. The next iterative value of the root of [pic] using secant method, if the initial guesses are 3 and 4, is
A) 2.2857
H) 2.5000
I) 5.5000
J) 5.7143
4. The root of the equation [pic] is found by using the secant method. Given one of the initial estimates is [pic], [pic], and the angle the secant line makes with the x-axis is [pic], the next estimate of the root, [pic], is
A) –3.2470
K) –0.24704
L) 3.247
M) 6.2470
5. For finding the root of [pic] by the secant method, the following choice of initial guesses would not be appropriate.
A) [pic] and [pic]
N) [pic] and [pic]
O) [pic] and [pic]
P) [pic] and [pic]
6. When drugs are given orally to a patient, the drug concentration [pic] in the blood stream at time [pic] is given by a formula
[pic]
where [pic] is dependent on parameters such as the dose administered while [pic] is dependent on the absorption and elimination rates of the drug. If [pic] and [pic], and [pic] is in seconds and [pic] is in [pic], the time at which the maximum concentration is reached is given by the solution of the equation
A) [pic]
Q) [pic]
R) [pic]
S) [pic]
For a complete solution, refer to the links at the end of the book.
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