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2 cards from this section. Quick, good the night before a test.
What are algebraic equations? Provide an example.
Remember the operations involved: addition, subtraction, multiplication, etc.
What is an example of a transcendental equation?
Think about functions that are not polynomials.
What type of equations often require numerical methods for solutions?
Consider the nature of transcendental functions.
True or False: The Bisection Method requires the derivative of the function.
Recall the conditions for the Bisection Method.
Given the equation 𝑥² - 5 = 0, apply the Bisection Method to find a root with an interval of [2, 3] and a tolerance of 0.01. Demonstrate your calculations.
Start calculating f(2) and f(3) and check the value of the function.
For the equation 𝑒ˣ = 3𝑥, apply the Newton-Raphson method starting with an initial guess of 1. Find the root up to three decimal places.
Make sure to differentiate the function to get your f'(x).
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