MAT - Paper 2018 - Q1H
Flashcards
2021-10-27
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.