Fp1 - Finding roots - Flashcards in A Level and IB Further Maths

What are the column headings for interval bisection?

a, f(a), b, f(b), a + b / 2, f(a + b / 2)

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What do we look for when inspecting the first row of interval bisection?

We look at the sign of f(a + b / 2) and compare it with f(a) and f(b), choosing the one with the opposite sign

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How do we check a root is within the interval [a,b]?

Find f(a) and f(b). If there is a root in the interval f(x) will have changed sign.

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To use the Newton Raphson formula we need to have two things. What are they?

f '(x) and x_0 = ?

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What is the similar triangles expression we use in linear interpolation?

QR/PR = QB/PA

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What are the problems with using the Newton Raphson formula?

It may take you further away from the root

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Other cards in this set

What do we look for when inspecting the first row of interval bisection?

We look at the sign of f(a + b / 2) and compare it with f(a) and f(b), choosing the one with the opposite sign

How do we check a root is within the interval [a,b]?

To use the Newton Raphson formula we need to have two things. What are they?

What is the similar triangles expression we use in linear interpolation?

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