I am having trouble with the following problem:
A rocket sled having an initial speed of 150mi/hr is slowed by a channel of water. Assume that, during the braking process, the acceleration a is given by a(v)=-u*v^2, where v is the velocity and u is constant.
a) write the equations of...
I would like to see the proof that the shortest distance between two points is a line. I found a proof online http://www.instant-analysis.com/Principles/straightline.htm but i can't quite follow it.
Does anyone know of a simple proof of this fact?
Can someone please explain to me how a plasma ball works? I think I kind of get it. I get that the current flows through the gas inside of the ball because there is a large enough electrical potential difference between the two points. I'm not sure why the sparks follow you finger around the...
i have a dial up modem and a wireless card and so does my brother. They work just fine. and we are able to share my dial up connection. (my machine is xp and has a connection sharing feature build into the operating system). It works just fine. So its possible.
has anyone come across any web site with good information on OLED technology. I'm not really looking for the technical details. What I?m interested in is a general overview of the technology. What it is advantage/disadvantages , applications, history. Stuff like that.
i would really...
I think you just need practice. If it’s a speed problem then practice could help. You say that you would do better if you had more time and that's a problem I can understand, but is it a problem worth solving? I have a similar problem. I am the strongest student in my math class but I take...
for the trig sub
x=sin(θ)
dx=cos(θ)dθ
substitute into original integral simpligy trig expresion and switch limits of integration (evaluate interms of theta) and you will get &pi/4
if you haven't learned trig subs check it out in your calc book it not a very hard topic.
the equation is for a semicircle of radius 1 from 0 to 1 you get a quarter circle and 1/4 pi *r^2=1/4pi
1/4pi is the answer
you could also evaluate the integral using a trig subsitution
you already found the answer if you devide both sides of the equation by 4 in your solution you also...
You are correct on the interval from 0 to π the length is as you stated but my answer is for [0,2π]
I assumed he wanted the length of a single wave which is produce over the interval [0,2π]
It would go something like this
y=sin(x)
dl^2=dx^2+dy^2 (Pythagorean theorem applied at the infinitesimal scale where dl is the length of the infinitesimal segment of the curve)
dl=√(dx^2+dy^2)
dl=√(1+dy^2/dx^2)dx
l=∫0…2π √(1+(dy/dx)^2)dx
l=∫0…2&pi...