Finding the stationary points of a cubic with two turning points

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q}\;dx$.

Real life problems with differentiation

Questions on linear programming techniques, with interactive graphics.

Given an oracle function that will output its value given an input, and an interval within which a root exists, find the root to a given precision.

Makes use of a Geogebra applet.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

This question asks you to work out one value as a percentage of another.  You are expected to do these without the help of a calculator.

This question allows you to practice working out a fraction of an amount.

It is designed for you to complete without a calculator.

These are worded questions on percentages.  They can be done without a calculator.

A block of given mass is sliding down the plane, with given acceleration. Find the normal reaction force, the coefficient of friction, and the distance travelled before reaching a given speed.

Given a PDF $f(x)$ on the real line with unknown parameter $t$ and three random observations, find log-likelihood and MLE $\hat{t}$ for $t$. 

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

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A test of basic concepts to do with SI units and concentrations of solutions.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

A simultaneous equations question with integers only

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.

Finding surface area and volume, given formulae.

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Working with powers

Finding the stationary points of a cubic with two turning points

Double integrals (2) with numerical limits

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

A graphical approach to aiding students in writing down a formal proof of discontinuity of a function at a given point.

Uses JSXgraph to sketch the graphs and involves some interaction/experimentation by students in finding appropriate intervals.

Real life problems with differentiation

Finding the stationary points of a cubic with two turning points