The range of human hearing is roughly from twenty hertz to twentykilohertz. based on these limits and a value of 305 m/s for the speed of sound, what are thelengths of the longest and shortest pipes (open at both ends andproducing sound at their fundamental frequencies) that you expectto find in a pipe organ?
1 (shortest pipe)
2 (longest pipe)

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)