Hi, this is my work so far:
p(n)=(n+1)(n+2)(n+3)...(n+n)=2^n*1*3*5...(2n-1)
p(n+1)= (n+1+1)(n+2+1)(n+3+1)...(n+n)*(n+n+1)=2^(n+1)*1*3*5...(2n+1)
(n+1+1)(n+2+1)(n+3+1)...2^n*1*3*5...(2n-1)(n+n+1)=2^(n+1)*1*3*5...(2n+1)
this is were I get stuck, I'm just not able to solve this relationship
Thanks for the detailed answer, it really gives me some insight on the exercise. Right now I am a first year engineering student so I'm not really able to understand how you get the intuition to just convert one expression to one another, i would like to know what rule did you follow so I can...
Thanks for your answer! I apreciate it , however my problem comes when I have to relate the equations, I am just not able to get the "right side" of the equation
(expression given to be proven)
check for p(1)... 2=2
substitute (n+n) to
And here is the problem, I just can't find a way to continue solving this problem
Sorry, maybe I am missing something out, but, when I integrate aceleration (y) I get as aresult Cln(x) +C, and then i can find the constant of integration by aplying f(0.2)=105.
What am I missing out over here?
The task that my professor asked consists on drawing the trajectory in Geogebra.
I have to draw a point(x,y) that represents the electron, and then, by changing the x, y get an y, wich gives me a point(x,y) then, by changing the value of x automatically, the trajectory of the electron is...
First of all, thank you so much, this really helps me a lot!
I have a few questions:
1) How could I numerically integrate the expression? y(x)? or x(t)/y(t)
2) I'm having real trouble when trying to integrate y(x), online solvers fails too.
What field of mathemathics should I learn in order to solve this problem?( x,y(t) or y(x) )
Thanks!
And could you tell me how did you obtain x(t)? thanks!
1) Sorry, i don't understand why there would be a minus sign
As my current understanding of the Lorentz Force Fx=q(vyxBz)=qvyBz (because v is perpendicular to B)
Doing this vectorial product gives us a force pointing towards -x, but because we are working with an electron, (-q) points towards...
Thanks for replying,
1) The wire rests on the y axis, and the initial y of the particle is 0.
2) The problem reads as follows:
An electron travels parallel to an current carrying wire with initial velocity being 10^5m/s (y) and it's position being x=0.2 (meters) and y=0 at t=0 Determine the...