# Quiz Chapter 03.05: Secant Method of Solving Nonlinear Equations

 MULTIPLE CHOICE TEST SECANT METHOD NONLINEAR EQUATIONS

1. The secant method of finding roots of nonlinear equations falls under the category of _____ methods.

2. The secant method formula for finding the square root of a real number $R$ from the equation $x^{2} - R = 0$ is

3. The next iterative value of the root of $x^{2} - 4 = 0$ using secant method, if the initial guesses are $3$ and $4$, is

4. The root of the equation $f(x) = 0$ is found by using the secant method. Given one of the initial estimates is $x_{0} = 3$ and $f(3) = 5$, and the angle the secant makes with the function $f(x)$ is $57^{\circ}$, the next estimate of the root, $x_{1}$, is

5. For finding the root of $\sin{\left( x \right)} = 0$, the following choice of initial guesses would not be appropriate.

6. When drugs are given orally to a patient, the drug concentration $c$ in the blood stream is given by a formula $c=Kte^{-at}$ 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