MAT - Paper 2019 - Q1F

2021-11-02
1 min read

Flashcards

2021-11-02

When you’ve got a quadratic but the $x$ term is actually something like $\sin x$ or $\cos x$, how can you find out the number of solutions when it’s not clearly factorisable??

Approximately plot it between $-1 \le x \le 1$.

What must be true about a polynomial if you can plot it for $1$ and get a positive number and plot it for $2$ and get a negative number??

There is at least one root in between $1$ and $2$.


Metadata
date: 2021-11-02 17:50
summary: how many solutions does sin^3 x + cos^2 x = 0
tags:
- '@?public'
- '@?mat'
- '@?notes'
- '@?maths'
title: MAT - Paper 2019 - Q1F