Two noisy nightclubs are located at opposite ends of a 1000 ft long street. , Nightclub A is four times as noisy
as Nightclub B. The intensity of the noise at a point away from the source of the noise is proportional to the
noisiness of the source and inversely proportional to the square of the distance from the source of the noise.
Use differentiation to find the quietest point on the block between the two nightclubs

Question

Two noisy nightclubs are located at opposite ends of a 1000 ft long street.  , Nightclub A is four times as noisy 
as Nightclub B.  The intensity of the noise at a point away from the source of the noise is proportional to the 
noisiness of the source and inversely proportional to the square of the distance from the source of the noise.  
Use differentiation to find the quietest point on the block between the two nightclubs

anonymous · Answer

the noise at point x, with 0 being nightclub A, is
y = 4/x^2 + 1/(1000-x)^2

anonymous · Answer

Solve[D[4/x^2 + 1/(1000 - x)^2, x] == 0, x]
x = 613.512

anonymous · Answer

did you take the derivative of the equation and set it to zero?

anonymous · Answer

yes

anonymous · Answer

i just used mathematica to do that part

anonymous · Answer

thanks! figuring out the equations was the hardest part