Flashcards
2021-10-13
What trick can you use for sketching $f(x)^2$??
Lightly sketch $f(x)$ and then make sure it’s positive and increase all the gradients.
If this is $f(x)$, what does the graph of $f(x)^2$ look like??
We are given $$3n^2 - n - B + 3Bn \ge 4An^2 - An$$ for all $n > 1$. Equivalently $$(3 - 4A)n^2 + (A + 3B - 1)n - B \ge 0$$ Why can you show that $$3 - 4A \ge 0 \implies A \le 3/4$$ here??
Because if it $A \le 3/4$ there would be a negative for the $n^2$ term and so negative for large $n$.
$$-ax^2 + bx + c$$ where $a, b, c > 0$. What is ALWAYS true about this function for large values of $n$??
It is negative.
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date: 2021-10-13 15:52
summary: how does the area change for this funky polynomial?
tags:
- '@?public'
- '@?mat'
- '@?notes'
- '@?maths'
title: MAT - Paper 2009 - Q3
