39 results authored by Clare Lundon  search across all users.

Question in Clare Laplace
No description given

Question in Clare Differential Equations
Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$. (Equal roots example).

Question in Clare Differentiation
No description given

Question in Clare's workspace
Instructions on inputting ratios of algebraic expressions.

Question in Clare's workspace
Details on inputting numbers into Numbas.

Question in Clare's workspace
Information on inputting powers

Exam (6 questions) in Aoife's Exams
5 questions which introduce the student to the Numbas system.
rebelmaths

Exam (6 questions) in Clare's workspace
5 questions which introduce the student to the Numbas system.
rebelmaths

Question in Clare Laplace
No description given

Question in Clare Matrices
Multiplication of $2 \times 2$ matrices.

Question in Clare Laplace
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Question in Clare Laplace
No description given

Question in Clare Integration
Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$.

Question in Clare Differentiation
Finding the stationary points of a cubic with two turning points

Question in Clare Differentiation
Finding the stationary points of a cubic with two turning points

Question in Clare Algebra
A quadratic is given and sketched. Based on the sketch, task is to determine the number of solutions to the equation $f(x)=0$.

Question in Clare Trigonometry
Finding unknown sides/angles in rightangled triangles.
Version 1: b,c known
Version 2: a,x known
Version 3: a,y known
Version 4: b,x known
Version 5: b,a known
Version 6: c,a known

Question in Clare Trigonometry
No description given

Question in Clare Trigonometry
No description given

Question in Clare Algebra
Tests the ability to find the gradient and intercept of a straight line graph.

Question in Clare Differentiation
A quadratic is and a graph of it is given. A tangent is also sketch. The equation of the tangent line is asked for.

Question in Clare Algebra
A graph of a straight line $f$ is given. Questions include determining values of $f$, of $f$ inverse, and determing the equation of the line.

Question in Clare Differentiation
This question guides students through the process of determining the dimensions of a box to minimise its surface area whilst meeting a specified volume.

Question in Clare's workspace
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Question in Clare's workspace
No description given

Question in Clare'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 Clare Year 3
Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$

Question in Clare Algebra
No description given

Question in Clare's workspace
Rearranging a formula

Question in Clare's workspace
Finding surface area and volume, given formulae.