Recent content by dtl42

I'm taking partial differential equations, modern algebra, and Fourier analysis this semester. It's definitely doable if you prioritize.

I also got into PPPL NUF, but I haven't been matched with a site yet.

Don't even do that (elfboy's suggestion), just do lots of practice with computational stuff.

I think between 5 and 10 is good. The recs shouldn't be too bad, likely very repetitive, so it wouldn't be too much more work than doing a single one. Last year, I only applied to 3 things and got lucky, I guess. I'm planning on around 5 apps this year. What subjects are you interested in?

I'm also a rising junior. I was able to snag an REU last summer, as a rising sophomore, so I think you're chances should be fine. It's certainly a bit random, but cast a wide net. You could tutor over the summer, get your own hours, and you'd still be doing something related to physics/math...

Homework Statement A uniform round tabletop of diameter 4.0 m and mass 50.0 kg rests on massless, evenly spaced legs of length 1.0 m and spacing 3.0 m. A carpenter sits on the edge of the table. What is the maximum mass of the carpenter such that the table remains upright? Assume that the force...

Thanks, I get it now.

Homework Statement A spaceborne energy storage device consists of two equal masses connected by a tether and rotating about their center of mass. Additional energy is stored by reeling in the tether; no external forces are applied. Initially the device has kinetic energy E and rotates at...

I forgot a factor of 1/8 that should be in the second expression when I factored, thanks for the help!

I realized my mistake, I had been thinking that I needed to get positive 32/15, but it all depends on the direction of the curve, which in my case was clockwise, and is usually taken to be counterclockwise. Is that correct?

Yes, that's what I had, but I factored it just a little bit in the above expression.

Homework Statement Evaluate \displaystyle \int_C y^2dx + x^2dy for the path C: the boundary of the region lying between the graphs of \displaystyle y=x and \displaystyle y=\frac{x^2}{4}. Homework Equations The catch is that you can't use Green's Theorem. The Attempt at a Solution...

Hmm, to check it, I plugged both expressions into my calculator and they're spitting out different numbers. The rectangular one gives me around 28.4 and the polar one gives me around 10.6.

Wow, I'm sorry for that typo. That would change things. Would the correct limits for r be \frac{1}{cos(\theta)}\text{and}\frac{2}{cos(\theta)}?

That is the rectangular integral given in the book. I think the region is a quadrilateral-like thing that is enclosed by x=1,2 and y=rt(3)x, x/rt(3). I found the limits for theta by setting tan(theta)=rt(3), 1/rt(3) because then the thetas produce the necessary lines.