SOLVED:The flux of a vector field F̂ is the flow rate of a quantity through a unit area. If S is a surface and n̂ is the outward directed unit normal to the surface, then the rate of flow through the surface S is given by F ·n d S ≡F ·d S Suppose we have a material whose density is ρthat flows with velocity v k̂ through a hemisphere whose equation is z=√(R^2-x^2-y^2) a. Show that the unit normal to the surface is n=(1)/(R)(x i y j z k̂) b. Show that F ·n=ρv z / R. c. Show that the flow rate thro
SOLVED:The flux of a vector field F̂ is the flow rate of a quantity throu…
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