((e^(100x)*(100sin(120pi*x)-120pi*cos(120pi*x))/(14400pi^2+10000))/e^(100x=Q What is Q?
I re-presented the question as follows - is this what the question was?
[ (e^(100x)*(100sin(120pi*x)-120pi*cos(120pi*x))/(14400pi^2+10000) ] /e^(100x)=Q What is Q?
Q = [ (e^(100x)*(100sin(120pi*x)-120pi*cos(120pi*x))/(14400pi^2+10000) ] /e^(100x)
Q = 100sin(x)- 120pi*cos(x)/(14400pi^2+10000)
Q = 1000[0.1sin(x)- [0.120pi/(14400pi^2+10000)]*cos(x)]
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Now using Sin(x-A)=sinx * cosA - sinA * cosx
let
cosA=0.1
sinA= 0.12pi/(14400pi^2+10000)
tanA=0.12pi/(14400pi^2+10000)/0.1 = 1.2pi/(14400pi^2+10000)
A = 2.47821*10^(-5) (to 6 sf)
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Q = 1000*sin[ x - atan(1.2pi/(14400pi^2+10000))] exact if I didn't make a mistake
Q = 1000*sin[ x - 2.47821*10^(-5)] (this answer is not exact)
I think that's right but I could easily have made a mistake.
+6 
+118653 
