Recent content by acrobaticelectron

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    Prove by the principle of induction

    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
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    Prove by the principle of induction

    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...
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    Prove by the principle of induction

    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
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    Prove by the principle of induction

    Maybe my understanding of the definition hasn't been correct, this is the exact definition of the exercise, thanks for your reply :)
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    Prove by the principle of induction

    (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
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    Trajectory of a charged particle in the magnetic field (variable)

    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?
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    Trajectory of a charged particle in the magnetic field (variable)

    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...
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    Trajectory of a charged particle in the magnetic field (variable)

    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.
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    Trajectory of a charged particle in the magnetic field (variable)

    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!
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    Trajectory of a charged particle in the magnetic field (variable)

    I just asked my professor via email and she told me that x,y(t) and y(x) are both worth it So let's use the easiest of both of them
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    Trajectory of a charged particle in the magnetic field (variable)

    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...
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    Trajectory of a charged particle in the magnetic field (variable)

    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...
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