39 results authored by Clare Lundon - search across all users.

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• Question

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• Question

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

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Instructions on inputting ratios of algebraic expressions.

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Details on inputting numbers into Numbas.

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Information on inputting powers

• Exam (6 questions)

5 questions which introduce the student to the Numbas system.

rebelmaths

• Exam (6 questions)

5 questions which introduce the student to the Numbas system.

rebelmaths

• Question

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• Question

Multiplication of $2 \times 2$ matrices.

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

• Question

Finding the stationary points of a cubic with two turning points

• Question

Finding the stationary points of a cubic with two turning points

• Question

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

Finding unknown sides/angles in right-angled 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

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Tests the ability to find the gradient and intercept of a straight line graph.

• Question

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

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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.

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

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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

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

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Rearranging a formula

• Question

Finding surface area and volume, given formulae.