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3 cards from this section. Quick, good the night before a test.
What is the main difference between algebraic and transcendental equations?
Think about the types of functions involved.
What is required for the Bisection Method to start?
Consider under what conditions the root exists.
What type of equations involve non-algebraic functions?
Focus on the equation type that is not polynomial.
True or False: The Bisection Method can guarantee finding a root as long as the function is continuous in the chosen interval.
Consider the properties of continuous functions.
For the equation x^2 - 3 = 0, demonstrate using the Bisection method starting from [1, 2] to reach a root to two decimal places.
Narrow down in each step based on function signs.
Use the Newton-Raphson method for f(x) = e^x - 2 while starting with an initial guess of x=0. How many iterations will it take to achieve an accuracy of 10^-5?
Calculate function values and update using the tangent each step.
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