Amiddle-aged man typically has poorer hearing than a middle-aged woman. in one case a woman can just begin to hear a musical tone, while a man can just begin to hear the tone only when its intensity level in increased by 5.9 db relative to that for the woman. what is the ratio of the sound intensity just detected by the man to that just detected by the woman?

(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.)