14 results authored by Thomas Waters  search across all users.

Question in Thomas's workspace
The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.
To find the script, look in the Scripts tab of part a.

Question in Thomas's workspace
This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

Exam (15 questions) in Thomas's workspaceTry these questions as a little refresher on what you did in first year. These are the type of thing you should know going into second year. If you find any questions tricky then Maths Cafe is a great place to go and get a little support.

Question in Thomas's workspace
No description given

Question in Thomas's workspace
Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.

Question in Thomas's workspace
Integration techniques for monomials and simple polynomials.

Question in Thomas's workspace
A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Noncalculator. Advice is given.

Question in Thomas's workspace
A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Noncalculator. Advice is given.

Question in Thomas's workspace
Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

Question in Thomas's workspace
Solve for $x$: $\displaystyle \frac{s}{ax+b} = \frac{t}{cx+d}$

Question in Thomas's workspace
Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$

Question in Thomas's workspace
Solve a system of three simultaneous linear equations

Question in Thomas's workspace
No description given

Question in Thomas's workspace
Multiplication of $2 \times 2$ matrices.