Suppose div f = xyz2. (a) find div f at the point (1, 3, 1). (note: you are given div f, not f.) div f (1, 3, 1) = (b) using your answer to part (a), but no other information about the vector field f, estimate the flux out of a small box of side 0.2 centered at the point (1, 3, 1) and with edges parallel to the axes. (c) without computing the vector field f, calculate the exact flux out of the box. (round your answer to five decimal places.)

1) when you rub your hands together quickly, the kinetic energy is converted to mechanical energy.2) thermal energy from the sun travels to earth as infrared waves.3) energy is transferred through the matter of space by electromagnetic waves. 4) when a match is burned, chemical potential energy is converted to thermal and radiant energy. 5) seismicwaves are caused by back and forth movement , or vibration, of an object. 6) mechanicalenergy in an engine changes thermal energy into kinetic energy to make a car move.