Nasa’s methodical approach to the exploration of mars has not yet answered the questions of whether biological life forms ever emerged on mars and whether, presuming such life forms having left fossil traces to begin with, those traces can still exist in some moist recesses of the cold and arid planet.(a) and whether, presuming such life forms having left fossil traces to begin with, those traces can.(b) and whether, if it is presumed that such life forms left some fossil traces to begin with, can those traces.(c) and whether, presuming such life forms left fossil traces to begin with, those traces.(d) and, presuming such life forms did leave some fossil traces to begin with, if they can.(e) and, presuming such life forms to have left fossil traces to begin with, if they.

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)