# Quiz Chapter 03.05: Secant Method of Solving Nonlinear Equations

 MULTIPLE CHOICE TEST SECANT METHOD NONLINEAR EQUATIONS

Pick the most appropriate answer

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