Patrick Joyce

Fill in a table of powers of 10.

Fill in a table of powers of 10.

Fill in a table of powers of 10.

Fill in a table of powers of 10.

Fill in a table of powers of 10.

Fill in a table of powers of 10.

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Fill in a table of powers of 10.

Graphs are given and students are required to match them with their equation.

Graphs are given and students are required to match them with their equation.

Graphs are given and students are required to match them with their equation.

This question asks the student to find the inversed composite function finding the inverses of two functions then composite of these; and by finding the composite of two functions then finding the inverse. The question then concludes by asking students to compare their two answers.

Introductory exercise about set equality

Find $\displaystyle I=\int \frac{2 a x + b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.

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.

This is just for testing purposes