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The P5 (20th June) Thread watch

1. I thought I'd make this thread, since one always gets made for each maths exam. You can post questions, feedback from the exam tomorrow, and most importantly of all, play with the maths symbols!

remember: (∂s)² = (∂x)² + (∂y)²

therefore: (∂s/∂x)² = 1 + (∂y/∂x)²

which implies that s = ∫√[1 + (dy/dx)²]dx

I love the maths symbols
2. (Original post by inequality)
I thought I'd make this thread, since one always gets made for each maths exam. You can post questions, feedback from the exam tomorrow, and most importantly of all, play with the maths symbols!

remember: (∂s)² = (∂x)² + (∂y)²

therefore: (∂s/∂x)² = 1 + (∂y/∂x)²

which implies that s = ∫√[1 + (dy/dx)²]dx

I love the maths symbols
Probably best not to write partial derivative for the above - doesn't really make sense in the first equation and is technically true in the second but is unnecessary
3. (Original post by RichE)
Probably best not to write partial derivative for the above - doesn't really make sense in the first equation and is technically true in the second but is unnecessary
Well it does. I don't know about partial derivatives, but the top one it just pythagoras theorem for small increses in x and y. Anyway, I like the little deltas
4. (Original post by inequality)
Well it does. I don't know about partial derivatives, but the top one it just pythagoras theorem for small increses in x and y. Anyway, I like the little deltas
Yes but and mean different things and you should use the former if that's what you meant
5. is arcsec the same as 1/arcos?
6. (Original post by lgs98jonee)
is arcsec the same as 1/arcos?
arcsecx = arccos(1/x)
7. hi

I can't find any help in the book for deriving cartesian equations from intrinsic equations!?!?!?

Can anyone find a cartesian equation for

s = 12sin2ω (where s is measured from O)

show that it's (8 - x)(2/3) + y(2/3) = 4

8. For a summary of intrinsics and other P5 related matters see this thread http://www.thestudentroom.co.uk/t116149.html
9. What's an intrinsic equation? They aren't in P5 are they?
10. find a cartesian equation for
s = 12sin2ω (where s is measured from O)
show that it's (8 - x)(2/3) + y(2/3) = 4
as x=y=w=s=0 at O.
11. (Original post by Showsni)
What's an intrinsic equation? They aren't in P5 are they?
Edexcel P5, yeah.
They're in the Coordinate Systems topic (last chapter).
12. (Original post by Gaz031)
For a summary of intrinsics and other P5 related matters see this thread http://www.thestudentroom.co.uk/t116149.html
Cheers guv, got it from that
13. (Original post by RichE)
Yes but and mean different things and you should use the former if that's what you meant
Ahh yes sorry. Where do I get little delta then?
14. (Original post by Gaz031)
as x=y=w=s=0 at O.
I think you left out the +8 on the x term
15. Edexcel P5, yeah.
They're in the Coordinate Systems topic (last chapter).
That's a relief - I'm doing OCR P5 tomorrow.
16. (Original post by Master Gee)
I think you left out the +8 on the x term
Thanks.
I was working through it while texing and found it difficult to read so I posted it so that I could read what i had
17. (Original post by BCHL85)
arcsecx = arccos(1/x)

are you sure?
18. (Original post by lgs98jonee)
are you sure?
Let y = arcsecx -> x = secy = 1/cosy
-> cosy = 1/x
-> y = arccos(1/x)
19. Does anyone know what even and odd function are?

e.g. show that coshx is an even function
20. (Original post by Master Gee)
Does anyone know what even and odd function are?

e.g. show that coshx is an even function
Even functions are symmetric about the y axis, or to put it another way:

f(x) = f(-x)

cosh(x) = cosh(-x) [think in terms of e]

therefore it's even.

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