10 results authored by Aoife O'Brien - search across all users.
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Exam (3 questions) in Aoife's workspace
Introduction to Laplace Transforms
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Exam (12 questions) in Aoife's workspace
Basic descriptive statistics - measures of centre and spread, from a list of data and frequency tables.
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Exam (5 questions) in Aoife's workspace
Differential equations.
rebelmaths
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Exam (10 questions) in Aoife's workspace
No description given
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Question in Aoife's workspace
Equations which can be written in the form
\[\dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x), \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(y), \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x)f(y)\]
can all be solved by integration.
In each case it is possible to separate the $x$'s to one side of the equation and the $y$'s to the other
Solving such equations is therefore known as solution by separation of variables
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Question in Aoife's workspace
Transposing formulae
rebelmaths
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Question in Aoife's workspace
Implicit differentiation.
Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.
Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.
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Exam (5 questions) in Aoife's workspace
This quiz will assess your ability to differentiate trigonometric & logarithmic functions together with implicit differentiation.
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Exam (6 questions) in Aoife's workspace
Assesses basic differentiation and finding turning points of curves.
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Exam (5 questions) in Aoife's workspace
No description given