14 results authored by Thomas Waters - search across all users.

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• Question

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

This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

• Year 2 refresher quiz
Exam (15 questions)
Try 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

No description given

• Question

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

• Question

Integration techniques for monomials and simple polynomials.

• Question

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

• Question

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

• Question

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

Solve for $x$: $\displaystyle \frac{s}{ax+b} = \frac{t}{cx+d}$

• Question

Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$

• Question

Solve a system of three simultaneous linear equations

• Question

No description given

• Question

Multiplication of $2 \times 2$ matrices.