Homework Statement
Find the general solution to the differential equation in implicit form.
http://www.texify.com/img/%5Clarge%5C%21%5Cfrac%7Bdy%7D%7Bdx%7D%3D%28cosx-sinx%29e%5E%7Bcosx%2Bsinx%2By%7D.gif
Homework Equations...
You are right, this is a conceptual question.
Try to think about the energy at different points in the motion. What types of energy will be present when the bowl is at the very top of its swing? What happens to this energy as the ball progresses?
If the velocity is perpendicular to the magnetic field you can find the radius of the arc by mv / |q|B
Not sure if this is the right approach but it might help.
OOoLatex Extension for Open Office
The extension can be installed in Open Office by way of Tools -> Extension Manager -> Add. You will also need the following dependencies to carry out the behind the scenes LaTeX makery.
Dependencies:
MikText
Ghostscript
MinSYS
It is probably best to...
The towel trick is only temporary and purposely causing it to overheat multiple times will eventually damage other components on the motherboard and ruin your 360 for good.
Opening up the console and having a whack at the X-Clamp replacement is the only fix that addresses the root of the problem.
Ah that was a mistake, the x values should be the other way around.
So would \int_{\pi/8}^{\pi/4}cot^2(2x)dx= \int_{\pi/8}^{\pi/4}\frac{cos^2(2x)}{sin^2(2x)}dx integrate to \frac{\frac{1}{2}sin^2(2x)}{\frac{-1}{2}cos^2(2x)} ? Which I assume would simplify to -tan^2_(2x)
I have the question Evaluate \int_{Pi/4}^{Pi/8}_cot^2{2x}dx
So integrating this should (I hope) give [\frac{-1}{2}cot{2x}-x] for those limits.
But I have never evaluated the cot integral before, I know that cotx=1/tanx. Do I substitute this identity in and work from there?