Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

Curve fitting, function zeros, sequences, etc.

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

Write a loop in,e.g., Matlab or Python to determine terms in a sequence.

Use Matlab (or Python) to fit a cubic polynomial to data, and determine where the x-axis is crossed.

This question demonstrates how to use the "Download a text file" extension to create a link to download a file containing text created from question variables.

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Differentiate $\displaystyle \cos(e^{ax}+bx^2+c)$

Find $\displaystyle \frac{d}{dx}\left(\frac{m\sin(ax)+n\cos(ax)}{b\sin(ax)+c\cos(ax)}\right)$. Three part question.

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The derivative of $\displaystyle x ^ {m}(ax^2+b)^{n}$ is of the form $\displaystyle x^{m-1}(ax^2+b)^{n-1}g(x)$. Find $g(x)$.

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