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The answer to this question is a differential equation involving $y''$, $y'$ and $y$.

A variable value generator for $y$ ensures that the right values are tested to check that the student's answer is equivalent to the expected equation.

A student selects a card from a deck of 52 and rolls a dice once.

rebelmaths

This question includes a JavaScript preamble which defines 'hbar' as a special variable name to be rendered in LaTeX as \hbar.

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Calculating the missing side-length of a triangle using the cosine rule.

Given two angles and a side-length of a triangle, use the sine rule to calculate an unknown side-length.

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This is a practice Mini Test 1 for Accounting

Retrieval practivce after pre-class activities

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Find a regression equation.

Simple exercise in collecting terms in different powers of \(x\)

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Es werden die grundlegenden Ableitungsregeln geübt.

Die Reihenfolge der Summanden ist auch randomisiert.

Übung der Ableitungsregeln

Es werden grundlegenden Ableitungsregeln geübt.

Die Reihenfolge der Summanden ist auch randomisiert.

Express $\displaystyle \frac{a}{x + b} \pm  \frac{c}{x + d}$ as an algebraic single fraction over a common denominator. 

Solving a differential equation of the form $\frac{dy}{dx}=\frac{ax^n}{y}$ using separation of variables.

Solving a differential equation of the form $\frac{dy}{dx}=axy^2$ using separation of variables.

Solving a differential equation of the form $\frac{dy}{dx}=axy$ using separation of variables.

A chi-squared test for proportions. Would be  a difficult A-level question or a fairly simple university level. 

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Calculating the integral of a function of the form $4ax(ax^2+b)^n$ using integration by substitution.