AQA A2 Mathematics MPC3 Core 3 - Wednesday 15th June 2016 [Official Thread]

I dont think they will ask for the domain of fg(x). Do you have an example from anywhere it has come up?

As for the hardest paper definitely the 2013-2015 ones.

wow ur right. I was gonna go into the exam thinking that xD. But I dont think they will give u tthat anyway unless its a substitution question or something

wow ur right. I was gonna go into the exam thinking that xD. But I dont think they will give u tthat anyway unless its a substitution question or something

I did a paper yesterday (can't remember the year) and drawing/sketching graphs was in about half the questions. The other half had the graphs already drawn and you had to work stuff out... Not a pleasant experience

You can let u=1-cosx therefore du/dx=sinx and (u^2-1)^2 = cosx and I think you should be able to solve it? :/

integral of: (1-u^2)^2 * u^-0.5 and you can expand and multiply? just of the top of my head.

I dont think they will ask for the domain of fg(x). Do you have an example from anywhere it has come up?

As for the hardest paper definitely the 2013-2015 ones.

I'd have to look for an example, but it has 100% come up before

and thanks, will have a look

Anyone got any good C3 questions to do?

Do you have the Heinmann textbook or whatever it is?

AQA haven't specifically asked - however when finding solutions you kind of need to know it.

The main points:

The solutions of fg(x) must satisfy the domain of g(x)
The solutions of gf(x) must satisfy the domain of f(x)

yessir

These have never come up before, but I have written a solution to it:

Page 160
Exercise 9B
Question 7
Part b

I've done all the past papers, and i wanna do a challenging one so if someone can tell me a hard paper i would like to do it thanks

Did you use reverse bracket/chain rule there? If so, that is incorrect as what you have their doesn't look like it differentiates to the integral.

To use that rule, either the function inside the bracket must be linear, or the derivative of the function is outside the bracket, e.g. f'(x)*(f(x))^n

please give us an example of where inside the brackets its not linear

please give us an example of where inside the brackets its not linear

Integrate x^2(x^3-10)^6 .dx

I made this up, but using that 'reverse chain rule', you can do this in two or so steps without parts/substitution.

Can someone post what inverse cos and sin graphs are and do we need to know tan inverse graphs