The speed of sound v in a medium depends on its wavelength 2, the young
moduluse, and the density p, of the medium. use the method of dimensional
analysis to derive a formula for the speed of sound in a medium. (unit for
young modulus e: kgm-15-2)

Let v1, v2, w be three linearly independent vectors in r 3 . that is, they do not all lie on the same plane. for each of the following (infinite) set of vectors, carefully sketch it in r 3 , and determine whether or not it is a vector space (i. e., a subspace of r 3 ). explain your reasoning

True or false graphs must include scales that increase by the same amount

Air is contained in a variable-load piston-cylinder device equipped with a paddle wheel. initially, air is at 400 kpa and 17°c. the paddle wheel is now turned by an external electric motor until 75 kj/kg of work has been transferred to air. during this process, heat is transferred to maintain a constant air temperature while allowing the gas volume to triple. calculate the required amount of heat transfer in kj/kg.