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

1. (Original post by fpmaniac)
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
2. (Original post by fpmaniac)
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
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.
3. (Original post by fpmaniac)
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
Haha, better to spot it now than after the exam, And no way this comes up, it's more an FP2 style Q, Ano123 is trying to scare all the shadow users 100%
4. (Original post by mickel_w)
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
Oh yeah I remember that paper, it was distressing lol

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5. (Original post by Hopstano)
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.
It's more fun without any substitution's
6. Anyone got any good C3 questions to do?
7. (Original post by fpmaniac)
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.
(Original post by mickel_w)
I'd have to look for an example, but it has 100% come up before

and thanks, will have a look
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)
8. (Original post by whydoidothis?)
Anyone got any good C3 questions to do?
Do you have the Heinmann textbook or whatever it is?
9. (Original post by Suits101)
Do you have the Heinmann textbook or whatever it is?
yessir
10. (Original post by Suits101)
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)
ahhh ok, thank you.
11. (Original post by whydoidothis?)
yessir
These have never come up before, but I have written a solution to it:

Page 160
Exercise 9B
Question 7
Part b
12. (Original post by Suits101)
These have never come up before, but I have written a solution to it:

Page 160
Exercise 9B
Question 7
Part b
Thanks alot, I'l let you know when im done.
13. (Original post by ilovecake123)
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
Try OCR past papers, good luck.
14. (Original post by MahuduElec)
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
15. Can someone post what inverse cos and sin graphs are and do we need to know tan inverse graphs
16. Find the values for x for which
$|x-3|<5-|x|$
17. (Original post by Guls)
please give us an example of where inside the brackets its not linear
If it's not linear, you can't integrate using reverse chain - you have to use substitution or parts etc

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18. (Original post by Guls)
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.
19. (Original post by MahuduElec)
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.
Just use substitution. 3x^2du = dx. So you get : 3(x^3-10)^7/7 + C

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20. (Original post by aaaae)
Can someone post what inverse cos and sin graphs are and do we need to know tan inverse graphs
I would suggest googling it? And yeah, you need to know the arctan graph.

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