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# Another line integral question watch

1. I know that the answer can't be zero by visualising the vector field, but I'm not sure where I've gone wrong!

2. (Original post by Plagioclase)
I know that the answer can't be zero by visualising the vector field, but I'm not sure where I've gone wrong!

I can't claim to remember enough about this to know if your method is correct or not (no reason to think it isn't, I simply can't remember the details). But could the problem be your F.(dx/dt) line, where you appear to be claiming that sin^2 t + cos^2 t = 0?
3. (Original post by Pangol)
But could the problem be your F.(dx/dt) line, where you appear to be claiming that sin^2 t + cos^2 t = 0?
It's an identity though so why wouldn't that be true?
4. (Original post by Plagioclase)
It's an identity though so why wouldn't that be true?
Should be 1 rather than 0, surely?
5. (Original post by Pangol)
Should be 1 rather than 0, surely?
I'm an idiot, thanks
6. (Original post by Plagioclase)
It's an identity though so why wouldn't that be true?
It equals 1, not 0.
7. (Original post by Plagioclase)
I'm an idiot, thanks
It's always the easy stuff, isn't it? And this seems to happen more often as the complexity of the rest of the question increases...
8. (Original post by Plagioclase)
I know that the answer can't be zero by visualising the vector field, but I'm not sure where I've gone wrong!

damn, what level is this?
Uni Maths?
9. (Original post by joyoustele)
damn, what level is this?
Uni Maths?
It's part of my third-year geology course but I believe this is taught in first-year physics?
10. (Original post by Plagioclase)
It's part of my third-year geology course but I believe this is taught in first-year physics?
I'm genuinely interested in why you would need this for such a course. I'm sure that this is down to my ignorence as to what a geology degree entails, but please enlighten me!
11. (Original post by Pangol)
I'm genuinely interested in why you would need this for such a course. I'm sure that this is down to my ignorence as to what a geology degree entails, but please enlighten me!
Vector calculus is important for things like geodynamics and geophysical fluid dynamics!

Edit: My course isn't actually called geology, it's just easier than explaining what Earth Sciences is.
12. (Original post by Plagioclase)
Vector calculus is important for things like geodynamics and geophysical fluid dynamics!

Edit: My course isn't actually called geology, it's just easier than explaining what Earth Sciences is.
Is this Geophysics at Oxford?
13. (Original post by Pangol)
I'm genuinely interested in why you would need this for such a course. I'm sure that this is down to my ignorence as to what a geology degree entails, but please enlighten me!
I can envisage anything where you want to calculate things like heat distributions (or gravity, for that matter) will involve you needing to be familiar with vector calculus. But yeah, I'm interested too, although I think it's likely the gory details won't have been made apparent to Plagioclase yet!
14. (Original post by Plagioclase)
Vector calculus is important for things like geodynamics and geophysical fluid dynamics!

Edit: My course isn't actually called geology, it's just easier than explaining what Earth Sciences is.
Makes perfect sense, thank you. So, geology is a real science after all... (BBT ref, please don't get upset!)

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