You are Here: Home >< Maths

# maths watch

1. Evaluate the length of the curve f(x)=(x^3)/3 + 1/(4x), between the interval 1<x<2.
help
2. (Original post by Simbo)
Evaluate the length of the curve f(x)=(x^3)/3 + 1/(4x), between the interval 1<x<2.
help
what do u mean,do what to find the curve length between x=1 and x=2?
3. (Original post by Simbo)
Evaluate the length of the curve f(x)=(x^3)/3 + 1/(4x), between the interval 1<x<2.
help
explain
4. use the equation supplied below, where S is the length of the line.

dy/dx = x²-1/4x²
(dy/dx)² = x^4 - 1/2 + 1/16x^4
1+(dy/dx)² = x^4 + 1/2 + 1/16x^-4 = (x²+1/4x²)²
sqrt(1+(dy/dx)²) = x²+1/4x²

integral = x³/3 - 1/4x + C

within limits [1,2] = 8/3 - 1/8 - 1/3 + 1/4 = 53/24 units
Attached Images

5. Ooh, this is P5. I should know this...
6. (Original post by elpaw)
use the equation supplied below (i.e. S=\int_1^2\sqrt{1+(\frac{dy}{dx} )^2}dx in LaTeX format), where S is the length of the line.

dy/dx = x²-1/4x²
(dy/dx)² = x^4 - 1/2 + 1/16x^4
1+(dy/dx)² = x^4 + 1/2 + 1/16x^-4 (x²+1/4x²)²
sqrt(1+(dy/dx)²) = x²+1/4x²

integral = x³/3 - 1/4x + C

within limits [1,2] = 8/3 - 1/8 - 1/3 + 1/4 = 53/24 units
Elpaw, what module is this in?
7. (Original post by bono)
Elpaw, what module is this in?
P5 on Edexcel
8. (Original post by hornblower)
Ooh, this is P5. I should know this...
Ahhh right, no wonder then.
9. (Original post by elpaw)
P5 on Edexcel
So it would be about P6 or P7 on AQA B then.

EDIT: Elpaw, just out of curiousity, what UMS scores did you get for P1, P2 and M1?
10. (Original post by bono)
So it would be about P6 or P7 on AQA B then.

EDIT: Elpaw, just out of curiousity, what UMS scores did you get for P1, P2 and M1?
It's on P6 (section 15.4 on the specification)
11. (Original post by elpaw)
It's on P6 (section 15.4 on the specification)
Ahhh right, cheers.

12. 100, 96, 100
13. (Original post by elpaw)
100, 96, 100
Right, can I just ask, do you need 100% raw in order to obtain max UMS? How much can you drop?

BTW: Fab scores there
14. (Original post by bono)
Right, can I just ask, do you need 100% raw in order to obtain max UMS? How much can you drop?

BTW: Fab scores there
apparently you can drop quite a few marks and still get 100UMS
15. (Original post by elpaw)
apparently you can drop quite a few marks and still get 100UMS
Wow, cool.

What was your lowest UMS out of your Maths and Further Maths A-Levels then?
16. (Original post by elpaw)
100, 96, 100
Well done, that's pretty amazing. That's my target for P1 and M1 as well.
17. ooo p5 very nasty
18. 84 on S3 (i didnt bother with the coursework)
19. (Original post by mik1a)
Well done, that's pretty amazing. That's my target for P1 and M1 as well.
P2 on my syllabus is a breeze, honest!
20. (Original post by elpaw)
84 on S3 (i didnt bother with the coursework)
Ahhh right. That is digraceful Elpaw! Shame on you!

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: March 6, 2004
Today on TSR

### Congratulations to Harry and Meghan!

But did you bother to watch?

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams