Practice Introduction To Numerical Methods For Solving Equations (2.1) - Numerical Solutions of Algebraic and Transcendental Equations

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8 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is a root of an equation?
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Think about the values that make f(x) = 0.
Question 2.
Name one numerical method for solving equations.
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It's a method that requires an interval.
3Question 3.
What does the Bisection Method require?
- An initial guess
- An interval with opposite signs
- Function derivatives
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What do we look for in the endpoints of the interval?
4Question 4.
True or False: The Newton-Raphson method can converge quickly when starting close to the root.
- True
- False
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What helps the Newton-Raphson method?
Question 5.
Using the Newton-Raphson method, find the root of f(x) = x^2 - 2, starting from x0 = 1.
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Remember to use the derivative correctly.
Question 6.
Demonstrate the Secant Method on f(x) = x^2 - 4 with x0 = 1 and x1 = 3, calculate two iterations.
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Make sure you properly apply the formula for the secant method.

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