The deepest part in the ocean is the challenger deep within the mariana trench, which has a maximum depth of around 11,000 m. this question will look to estimate the pressure at this depth in the ocean. (a) (2 points) assuming that the salt water in the ocean has a constant density of 1030 kg/m", compute the pressure at this deepest point in the ocean. use gage (relative) pressure, with p= 0 pa at the surface. (b) (4 points) while liquids are approximately incompressible, at such depths density variations can be noticeable. assume that the density of the water varies with depth by the equation p- po ppo cape p= po exp where po and po are the density and pressure at the surface, and ey = 2.3 x 10° n/m² is the modulus of elasticity of water. using the differential form of the hydrostatic pressure equation dp da = -29, determine the pressure at the deepest point of the challenger deep. as- sume that po = 1030 kg/m². how does this compare to your answer for part (a)?