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 is

Q3..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

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 .

Q6. 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,

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