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\frac{1}{z^2}\int\cos\theta d\theta \frac{1}{z^2}\sin\theta +c ?

x^2=z^2tan^2\theta dx=zsec^2\theta{d\theta} \int\frac{1}{(x^2+z^2)^\frac{3}{2}}dx \int\frac{zsec^2\theta}{(z^2+z^2tan^2\theta)^\frac{3}{2}}d\theta \int\frac{zsec^2\theta}{(z^2(1+tan^2\theta)^\frac{3}{2}}d\theta \int\frac{zsec^2\theta}{z^2(sec^2\theta)^\frac{3}{2}}d\theta...

Unfortunately I took 4+ years of university calculus over two decades ago. I've gone well beyond this but obviously haven't used these skills in a very long time, which is why I'm having trouble getting started. I'm not looking for anyone to do my homework for me, I just can't remember very much...

That doesn't seem right- how would that help? Seems like substitution would work here... This seems closer... \int(x^2+z^2)^\frac{-3}{2}}dx \frac{(z^2+x^2)^\frac{-1}{2}}{\frac{-1}{2}} I kind of see the \frac{x}{z^2} term, but why no \frac{x^3}{3}

Here's an easy one, I know the answer but can't get there... Homework Statement \int\frac{1}{(x^2+z^2)^\frac{3}{2}}dx Homework Equations na The Attempt at a Solution I know this approach is wrong, but why? Or am I not finishing somehow? \int\frac{1}{x^3}dx+\int\frac{1}{z^3}dx...

verbatim- "Show the threshold for triplet production is 4m0c^2 using the concept of conservation of 4-momentum." Sorry for the paraphrase.

I'm having trouble understanding conservation of 4-momentum. My problem is about dertermining the threshold for triplet production from a photon and an electron using 4-momentum conservation. The answer is 4m0c^2. So far, I say the initial energy is: E1^2=(pc)^2 + (m0c^2)^2=(hv)^2+(m0c^2)^2...

I can understand why the threshold for pair priduction is 2m0c^2. But why is the threshold for triplet production 4m0c^2? Thanks.

I'm a bit confused about the way radiation is said to 'transfer' its energy to matter. I must be looking at it the wrong way, so I'd appreciate it if someone could explain what I am missing. I don't see how energy is transferred to atoms through ionization. The way I see it is charged...

Ok, I figured it out. I need to take the binding energy and subtract it from the total mass of the separate nucleons to calculate the true mass to find Q. Hooray!

Thanks so much, you reply helped me see what I had suspected. Now on to bigger and more confusing problems...

I think I am doing this correctly, but getting a strange result. Here's the original problem dealing with decay modes: The isobars 37Ar and 37Cl have binding energies/nucleon of 8.279 Mev and 8.336 Mev, respectively. Show which nuclide decay to the other spontaneously and by what decay mode...

This is a small part of a homework problem in which I need to calculate neutron flux. I have the neutron beam hitting a copper target, and two reactions take place Co-59(n,p)Co60metastable (cross section=19barn) and Co-59(n,p)Co60ground (cs=18barn). What is the cross section overall? Do I simply...

Hello. I'm a little unsure of how to proceed on this problem... Here it is: A 3-Gev proton flux is monitored by measuring 24Na activity induced in 25 microm (6.85 microg/cm2) aluminum foil via 27Al(p, 3pn)24Na reaction (for 3 Gev protons, cross section = 9.1 mb). Exactly 15 hr after the end...

Always the easy things we forget... I know how errors propogate through multiplication or division when every term has an error, but how do I propagate errors in equations when only one term has an uncertainty? I want to say just multiply and divide the uncertainty value by the constants, i.e...

Thanks. I thought that was the only way to do it. Sorry for not being so clear. I was trying to add complex numbers in the polar form.

How do you add or subtract in polar coordinates if not given the rectangular coordinates? Thanks.