I'm drawing a blank as to how to approach this one. I've been looking over all trig identities and substitutions I could possibly make - but to no avail :cry:.
\int_{1}^{x^2} \sin{(\sqrt{t})} \ dt
Given a particle whose equation of motion is
\frac {d^2x} {dt^2} = -Qx + R
I'm supposed to find a solution expressing x in terms of t, given that position is (5,0) at t=0 and speed=0. The next time the particle is at (5,0) it has traveled a distance of 12 units and t = Pi. I'm supposed...
Apologize if anyone's posted this already, but imho I think
Anton/Bivens/Davis Calculus: Early Transcendentals
is probably the best bet - It starts out ~simple (it's all relative :rolleyes: ) and then hits a calc III or higher level by the end. The questions are fairly good and the...
@ movies: could you please post your 7 step one - would like to see it (don't personally care if it works or not - just would like to learn something from it). Furthermore, just talked to my teacher, apparently he doesn't care about the violation - didn't even expect anyone to find out that...
We were never taught or exposed to Bredt's rule in class (lowly high school kid) - so thank you for pointing that out. What would you suggest I do to rectify the situation?
Here it is - just in skeletal format after dashing it off in a few minutes. If you spot any error, chalk it down to being in a rush - unless of course it's a major error, then please do tell. Ignore the term "possibility" - the synthesis continues from the last diagram to "#1" onwards (I just...
I'm sorry for the delay - forgot I posted the question on the site :rolleyes:
I figured it out (double checked with an independent source) - and I'll post it as soon I have access to my scanner (~Monday). Turned out to be relatively easy after the 2 tricky initial steps. In total there are...
The larger a gravitational field (or the closer you get to one), the slower time runs. A clock in the ISS and on Earth differ by about 2E-9 seconds (Earth one is "slower"). So the magnitude of the difference you're talking about is ridiculous.
My $0.02
Hey y'all
I'm wondering whether it's possible for the following synthesis to occur and how?:
http://harishkukreja.neargeek.net/Synthesis.jpg
The thing is, after bashing my head against it for about 2 hrs - I've really gotten nowhere :cry: . A few of the rxn's we're allowed to use are...
Excuse my ignorance (I'm only a high school student), but how did you get from
\int e^{2x}\sin 3x \ dx=\mbox{Im}\left(\int e^{(2+3i)x} \ dx\right)
My knowledge of complex numbers is limited and I tried applying euler's formula/de moivre's theorem and got nowhere. Even working backwards...
Don't know what forum to put this in.
In what must be the most retarded step I know, we have been told to hand in a report in a "decorative container" worth a mind bogglingly large percentage of the mark.
Considering my report is on the anthropic principle and its relation to cosmology...
Yes, I do mean surface brightness (the reason I mentioned luminosity is that my values are in solar luminosity assuming a thin infinite disk). I didn't take the pictures myself, got it from an online database - the name evades me (I'm at school and my home comp. has the link). I scaled the...
Just a quickie
I'm taking a slice of a galaxy picture and plotting luminosity vs kpc. I'm fitting a luminosity profile (de vacouleurs) and keeping disk scale length as a free parameter. However, textual values for this (referred to as h from now on) range between 3-4 kpc for most galaxies. h...