Recent content by XJellieBX

Homework Statement A block on a spring is pulled to the right and released at t=0s. It passes x=3.00cm at t=0.685s, and it passes x=-3.00cm at t=0.886s. a) What is the angular frequency? b) What is the amplitude? Homework Equations x(t)=Acos(wt+phi_0) The Attempt at a Solution...

Thanks =)

Homework Statement Using the uncertainty relation for momentum and position, show that the quantum-mechanical uncertainty in the position of a particle at temperture T is \Delta x~\sqrt{\frac{h^{2}}{4mkT}} where T is the temperature and k is the Boltzmann's constant. Homework Equations...

yes. i tried to compare it to the geometric series, but i was having some problems with the denominator

we learned the root test, the ratio test, and the basic comparison test in class. but I'm not sure which one to use.

Homework Statement \sum\frac{7^{k}}{5^{k}+6^{k}} Determine if this infinite series (from k=0 to infinity) converges or diverges. 2. The attempt at a solution I set ak=\frac{7^{k}}{5^{k}+6^{k}} then I took the Ln of both sides ln ak=ln\frac{7^{k}}{5^{k}+6^{k}}=ln7k-ln(5k+6k) I'm not...

So if I find how many wavelengths that is, which i did find, i can figure out the number of maxima. I'm just not too sure if that is all this question is asking for, but thank you nevertheless =)

Homework Statement Monochromatic light of wavelength \lambda = 400 nm enters at A. It impinges on a ‘half-silvered mirror’ B, which directs some of the light to mirror C, while passing the rest to mirror D. Some of the reflected light from mirror C passes back through the half-silvered mirror...

Thank you =)

Homework Statement Evaluate \int arcsin (\frac{2x}{1+x^{2}})Homework Equations \int arcsin x = xarcsinx +\sqrt{1-x^{2}} + CThe Attempt at a Solution I'm not sure where to begin, when I try to substitute the term inside the brackets the equation gets even more complicated. Help?

Thanks, I think I've got it. I was overlooking some details.

Homework Statement Set f(x)=\int^{2x}_{1}\sqrt{16 + t^{4}}dt. A. Show that f has an inverse. B. Find (f^{-1})'(0). Homework Equations (f^{-1})'(x)=1/(f'(f^{-1}(x))) The Attempt at a Solution A. f'(x)=\sqrt{16 + t^{4}} >0, so f is always increasing, hence one-to-one. By definition...

Thank you =) I found the answer.

Thank you, I really needed that second opinion =)

Homework Statement Compute \int^{\pi/2}_{0} \frac{sin^{2009}x}{sin^{2009}x + cos^{2009}x} I used the identity cos^{2}= 1 - sin^{2}, but instead I set the exponent as 2009. And so I ended up with the answer being -1. I'm just wondering whether this is a legal solution or am I not allowed to...