#math - Thu 22 Mar 2007 between 00:02 and 00:09

NY Lost Funds



bsmntbombdood?
ArcCos[x] //TrigToExp
% ArcCos[x] //TrigToExp
mbotbsmntbombdood: Pi/2 + I*Log[I*x + Sqrt[1 - x^2]]
bsmntbombdoodneato
SeveredCross% Expand cos(3x)
mbotSeveredCross: 3*cos*Expand*x
SeveredCrossErr.
% Expand[cos(3x)]
mbotSeveredCross: 3*cos*x
SeveredCrossAw.
That's clearly not right LOL.
bsmntbombdoodCos[3*x]
SeveredCrossDoh, of course.
% Expand[Cos[3x]]
mbotSeveredCross: Cos[3*x]
SeveredCrossAw, it won't give the full expansion.
bsmntbombdoodhmm
% Expand[Cos[x+x]]
mbotbsmntbombdood: Cos[2*x]
Olathe% Cos[3x] //TrigExpand
mbotOlathe: Cos[x]^3 - 3*Cos[x]*Sin[x]^2
bsmntbombdoodOlathe to the rescue
% Sin[3x] //TrigExpand
mbotbsmntbombdood: 3*Cos[x]^2*Sin[x] - Sin[x]^3
bsmntbombdood% Sin[x/3] //TrigExpand
mbotbsmntbombdood: Sin[x/3]
Olathe% TrigExpand[Cos[3x]] /. Sin[x]->Sqrt[1 - Cos[x]^2] //Expand
mbotOlathe: -3*Cos[x] + 4*Cos[x]^3
bsmntbombdood% Solve[y==3*x - 4*x^3, x]
mbotbsmntbombdood: {{x -> 1/(2*(-y + Sqrt[-1 + y^2])^(1/3)) + (-y + Sqrt[-1 + y^2])^(1/3)/2}, {x -> -(1 + I*Sqrt[3])/(4*(-y + Sqrt[-1 + y^2])^(1/3)) - ((1 - I*Sqrt[3])*(-y + Sqrt[-1 + y^2])^(1/3))/4}, {
x -> -(1 - I*Sqrt[3])/(4*(-y + Sqrt[-1 + y^2])^(1/3)) - ((1 + I*Sqrt[3])*(-y + Sqrt[-1 + y^2])^(1/3))/4}}
SeveredCrossYikes.
That's uh, very long.
cachedSolve[D=1/2*c^2*t^2+1/2*c^2*a^2*Log(t),t]
% Solve[D=1/2*c^2*t^2+1/2*c^2*a^2*Log(t),t]
mbotcached:
Set::wrsym: Symbol D is Protected.

2 2 2 2

Page: 2 9 16 23 30 37 

IrcArchive

NY Lost Funds