A simultaneous equations question with integers only

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$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

Identifying the correct rule to use

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Quotient and remainder, polynomial division.

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

Identifying the correct rule to use

Identifying the correct rule to use

An introduction to using the quotient rule

Identifying the correct rule to use

Differentiating further exponentials

Using the chain rule with polynomials

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

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Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d $.

A basic introduction to differentiation

Quotient and remainder, polynomial division.

$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

More work on differentiation with trigonometric functions

Using the chain rule within product rule problems

Brukes for testing av lineært akselerert referansesystem.

This easy question is intended to be used by administrators to test the integration of Numbas with a learning environment.

This is a test only

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean and standard deviation of a sample. The population variance is not given and so the t test has to be used. Various scenarios are included.

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