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  1. 3unitz

    Torque and Force...

    for those that care, the torque on a rectangular coil consisting of N loops is given by: T = NIABcos@ here we have a cos@ factor, not a sin@ like we do in the force formula (you should be able to derive this equation). the magnetic field exerts a force on the vertical sections of...
  2. 3unitz

    Integration by Parts

    u = sec x u' = (sec x)(tan x) v = tan x v' = (sec x)^2 Int (sec x)^3 dx = (sec x)(tan x) - Int (sec x)(tan x)^2 dx Int (sec x)^3 dx = (sec x)(tan x) - Int (sec x)[(sec x)^2 - 1] dx Int (sec x)^3 dx = (sec x)(tan x) - Int (sec x)^3 dx + Int sec x dx 2 Int (sec x)^3 dx = (sec x)(tan...
  3. 3unitz

    who can do these two very hard calculus questions?

    let AB = x, BC = y, angle CAB = @ dx/dt = 0.1 -----(1) from trig: x/10 = cos@ x = 10cos@ dx/d@ = -10sin@ -----(2) using (1) and (2): dx/dt . d@/dx = 0.1 (-1/10sin@) d@/dt = -1/(100sin@) when triangle is isosceles, @ = pi/4: d@/dt = -1/[100sin(pi/4)]...
  4. 3unitz

    integration help

    Int x. [root(x+1)] dx dx = 2u du u = root(x+1) Int [(u^2)-1]. u 2u du Int 2u^3 - 2u^2 du u^4/2 - 2u^3/3 + C (x+1)^2/2 - 2(x+1)^(3/2)/3 + C
  5. 3unitz

    Sum and Product of Roots

    let roots of f(x) = ax^2 + bx + c be A and B A + B = -b/a AB = c/a a) when A = 1/B, c/a = 1 c = a b) when A = -B, -b/a = 0 b = 0 c) when A = 0, c/a = 0 c = 0
  6. 3unitz

    Help with a question

    total length 10m equals the perimeters of the square and rectangle: 10 = 6x + 2y ------(1) total area is given by: Atotal = x^2 + xy sub (1): Atotal(x) = x^2 + x(5 - 3x) = 5x - 2x^2 we now differentiate to find the value of x for which Atotal(x) is a maximum: Atotal'(x) = 5 - 4x...
  7. 3unitz

    17, pregnant, yr 12 next year.. what do i do?

    another quality post from jordanfaggot22 :lol: kekekeke
  8. 3unitz

    17, pregnant, yr 12 next year.. what do i do?

    stop posting jordan, no one likes you
  9. 3unitz

    gravitational field helpp..

    F = Gm1m2/d^2 F = 8*10^-8 G = 6.67*10^-11 m1 = 10 d = 0.4 sub into equation and solve for m2 the centripetal force is equal to the gravitational force: F = Gm1m2/d^2 G = 6.67*10^-11 m1 = 10^30 m2 = 10^22 d = 3*10^12 sub into equation to find F to find the period we need the...
  10. 3unitz

    Should the Hadron Collider be allowed?

    dude whats wrong with this guy...
  11. 3unitz

    Should the Hadron Collider be allowed?

    they didnt build the thing then go "so what next guys?"
  12. 3unitz

    Should the Hadron Collider be allowed?

    dude seriously, no offence but you've got no idea. if you want to argue for dr. kent at least post his paper / link to his calculations.
  13. 3unitz

    4U Revising Game

    another way you could do it is if you knew its less than zeta(2) = pi^2/6 1 + 1/2^2 + ... + 1/n^2 + ... = pi^2/6 < 1.99 1 + 1/2^2 + ... + 1/5^2 > 1.45 .'. 1.45 < 1 + 1/2^2 + 1/3^2 + ...+1/99^2 < 1.99
  14. 3unitz

    Projectile Motion Q

    derive the two equations: Sy = uyt - 9.8 t^2/2 -----(1) Sx = uxt -----(2) from (1): - 3 = - 9.8 t^2/2 t ~ 0.78sec sub into (2): R = 800 x 0.78 ~ 626m
  15. 3unitz

    Engineering

    gg musk
  16. 3unitz

    Engineering

    im not asian, monkey
  17. 3unitz

    Engineering

    um wot?
  18. 3unitz

    Engineering

  19. 3unitz

    Engineering

    monkey
  20. 3unitz

    Engineering

    shut up idiot, stop talking to me. i dont talk to monkeys
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