Indices in their simplest form

rebelmaths

Choose the graph that represents the differential of the given graph

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Using Pythagoras' theorem to determine a non-hypotenuse side, where side lengths include surds and students enter using sqrt syntax

Converting Radians to Degrees

Converting Degrees to Radians

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

sin vertically shifted WORKING 1_11_16

Areas of triangles

rebelmaths

Given the original formula the student enters the transformed formula

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

Recall and use of formulae for volume and surface area of a sphere.

Finding surface area and volume, given formulae.

Area and circumference of circles

Using Pythagoras' theorem to determine the hypotenuse, where side lengths include surds and students enter using sqrt syntax

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Finding the modulus of four complex numbers; includes finding the modulus of a product, a power and a quotient. By Newcastle University

Given the original formula the student enters the transformed formula

Finding lengths of sides of triangles

$2e^{x^3}+x^2$

$2e^{x^3}+sin{x}$

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Calculate the functional value at a point.

A detailed look at how algebraic fractions can be manipulated and simplified.

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

Composite functions.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Multiplication of $2 \times 2$ matrices.

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