Question: Consider a steady geostrophic and parallel flow on the western side of a coast at x 1 The density field perpendicular to the coast is

Consider a steady geostrophic and parallel flow on the western side of a coast at x 1 The density field perpendicular to the coast is given by rho rhox with partial rho partial x 0 Assume that inertia and friction can be neglected and that h ll 1 with the flat bottom located at z 1 The height of the sea surface is given by z hx and all quantities describing the flow are independent of the coordinate y a What is the slope of the sea surface in terms of the density field b What is the depth where the velocity v 0 the level of no motion

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