FREE lectures this July. Places booking out fast. HSC: book here. VCE: book here.

Welcome, Guest. Please login or register.

June 19, 2019, 05:40:12 am

Author Topic: VCE Methods Question Thread!  (Read 2319811 times)  Share 

0 Members and 7 Guests are viewing this topic.

AlphaZero

  • MOTM: DEC 18
  • Forum Obsessive
  • ***
  • Posts: 268
  • \[\int_a^b f(x)\,\text{d}x=F(b)-F(a)\]
  • Respect: +116
Re: VCE Methods Question Thread!
« Reply #17970 on: June 13, 2019, 10:23:37 am »
+2
So the solutions of sin(x) = 1/2 are just the points of intersection between the base sin function and the horizontal line y=1/2, within the specified domain?

Can you provide another example of this with another type of function?

It's probably best to think about this generally. Don't get too hung up on the functions involved.

The \(x\)-coordinate(s) of the point(s) of intersection between the graphs of  \(y=f(x)\)  and  \(y=g(x)\)  is/are obtained by solving  \(f(x)=g(x)\).

It just happens to be that one of the functions is a constant function.

Another Example:  \(y=\sin(x)+\cos(2x)\)  and  \(y=0\)
(Note: Methods students do not need to know how to solve this by hand. Specialist students do)

Mostly inactive until 20 June 2019

2015\(-\)2017:  VCE
2018\(-\)2021:  Bachelor of Biomedicine and Concurrent Diploma in Mathematical Sciences, University of Melbourne