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3230 Radiation and Matter Core Exercises, Unit One

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Division (Rationalising) complex numbers in rectangular (Cartesian) Form.

Thanks are due to Christian for his Gap Fills in Fractions code and method

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Deze test omvat twee vragen.

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This is a test

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Complementary function/particular integral for forced simple harmonic motion (non-resonant)

This question defines an otherwise-pointless pre-submit task of "wait for a while" before marking the student's answer, in order to demonstrate how to use the pre-submit tasks feature.

Practice of conversion between SI units of mass, volume & length.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Create a truth table for a logical expression of the form $((a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d))\operatorname{op4}(e \operatorname{op5} f) $ where each of $a, \;b,\;c,\;d,\;e,\;f$ can be one the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3},\;\operatorname{op4},\;\operatorname{op5}$ one of $\lor,\;\land,\;\to$.

For example: $((q \lor \neg p) \to (p \land \neg q)) \to (p \lor q)$

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

Fill in a table of powers of 10.