Flashcards
2021-10-27
What is the trick to doing this question??
Realising that $s$ and $t$ can be pretty much any real number.
What is it sometimes useful to think about when given a geometry question??
Trying to “see past the geometry” and think about constraints on variables instead.
What should you be doing with any geometric diagram??
Thinking about extreme cases.
$$\frac{4s^t + t^2}{5st}$$ How could you rearrange this into something potentially more useful??
$$ \frac{4s}{5t} + \frac{t}{5s} $$
$$\frac{1}{5}(4\frac{s}{t} + \frac{t}{s})$$ What substitution could you make here??
$$ u = \frac{s}{t} $$
$$\frac{1}{5}\left(4u + \frac{1}{u}\right)$$ How could you find the minimum value of this??
Differentiate and set to zero.
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date: 2021-10-27 16:09
summary: how can you minismise this expression based on the areas of two inscribed circles?
tags:
- '@?public'
- '@?mat'
- '@?notes'
- '@?maths'
title: MAT - Paper 2018 - Q1H
