Numerical Methods

Multiple choice

State the two conditions required for a sign change between $x = a$ and $x = b$ to guarantee at least one root.

The function $f (x)$ is continuous on $[a, b]$
$f (a)$ and $f (b)$ have the same sign

The function $f (x)$ is discontinuous on $[a, b]$
$f (a)$ and $f (b)$ have opposite signs

The function $f (x)$ is continuous on $(a, b)$
$f (a)$ and $f (b)$ are equal

The function $f (x)$ is continuous on $[a, b]$
$f (a)$ and $f (b)$ have opposite signs

Numerical Methods

Multiple choice

State the two conditions required for a sign change between $x = a$ and $x = b$ to guarantee at least one root.

The function $f (x)$ is continuous on $[a, b]$
$f (a)$ and $f (b)$ have the same sign

The function $f (x)$ is discontinuous on $[a, b]$
$f (a)$ and $f (b)$ have opposite signs

The function $f (x)$ is continuous on $(a, b)$
$f (a)$ and $f (b)$ are equal

The function $f (x)$ is continuous on $[a, b]$
$f (a)$ and $f (b)$ have opposite signs

Flashcards for Edexcel A Level Maths Numerical Methods, covering the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3. 23 cards drawn from 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling, matched to the Edexcel A Level Maths (9MA0) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.

Numerical Methods

Numerical Methods Flashcards

Numerical Methods

Numerical Methods Flashcards