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# Edexcel A2 C4 Mathematics June 2016 - Official Thread watch

1. Zacken Euclidean

Any more hard/interesting questions then?
2. When I see a person helping out someone with their Maths problem...

3. (Original post by BBeyond)
Zacken Euclidean

Any more hard/interesting questions then?
I'll think up some when I get home. :-)
4. (Original post by BBeyond)
Zacken Euclidean

Any more hard/interesting questions then?
Try solving this:

subject to the conditions and that when . Express your solution in the form and find .
5. (Original post by Zacken)
Try solving this:

subject to the conditions and that when . Express your solution in the form and find .
I'll try after my dinner, cheers!
6. (Original post by BBeyond)
I'll try after my dinner, cheers!
Bon appetit.
7. (Original post by Zacken)
Try solving this:

subject to the conditions and that when . Express your solution in the form and find .
Kinda rushed this as I have a few things to do, so there may be a mistake somewhere
Spoiler:
Show

Gonna go ahead and assume we know how to integrate both - substitution of for will do the trick
And will do for

8. (Original post by edothero)
Kinda rushed this as I have a few things to do, so there may be a mistake somewhere
Yeaaah. It's but you seem to have switched to half way through which gets you ugly ass square roots.
9. (Original post by Zacken)
Yeaaah. It's but you seem to have switched to half way through which gets you ugly ass square roots.
Oh ffs

There we go, I've changed it
10. (Original post by Zacken)
Try solving this:

subject to the conditions and that when . Express your solution in the form and find .
Spoiler:
Show

My attempt

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11. (Original post by edothero)
[Awesome work]
All correct. Now what's ?
12. (Original post by BBeyond)
...
(Original post by edothero)
...
All correct, both of you. Good work, too bad we're only warming up. Let's get to the meaty bit: Let be any solution to:

Find a such that we have tending to a finite non-zero limit that you should determine as .
13. (Original post by Zacken)
All correct. Now what's ?
As x tends to infinity, e^x tends to 0, as we end up with then would = 1 ?
Is this the right way of going about that?
14. (Original post by edothero)
As x tends to infinity, e^x tends to 0, as we end up with then would = 1 ?
Is this the right way of going about that?
Yep, you needn't expand though: .
15. (Original post by Zacken)
Yep, you needn't expand though: .
Ah yes makes more sense I'll attempt that second question later tonight after revision. Seems tough!
16. (Original post by Zacken)

Find a such that we have tending to a finite non-zero limit that you should determine as .
I think it's time you give me a hint
Spoiler:
Show

(Same method, . And the integral is standard

..
17. (Original post by edothero)
I think it's time you give me a hint
Spoiler:
Show

(Same method, . And the integral is standard

..
Do the obvious thing: isolate, multiply both sides by what you want, simplify. Look at limits.
18. (Original post by edothero)
I think it's time you give me a hint
Spoiler:
Show

(Same method, . And the integral is standard

..
That's about as far as I made it as well ahahah
19. (Original post by Zacken)
Do the obvious thing: isolate, multiply both sides by what you want, simplify. Look at limits.
Not getting anywhere I'm afraid
20. (Original post by edothero)
Not getting anywhere I'm afraid
I'm in bed now, will put up a solution in the morning.

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