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(9) A vector field can be given in polar coordinates as F=f(r,θ)r^+g(r,θ)θ^ where r^=⟨cos(θ),sin(θ)⟩ and θ^=⟨−sin(θ),cos
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(9) A vector field can be given in polar coordinates as F=f(r,θ)r^+g(r,θ)θ^ where r^=⟨cos(θ),sin(θ)⟩ and θ^=⟨−sin(θ),cos
(9) A vector field can be given in polar coordinates as F=f(r,θ)r^+g(r,θ)θ^ where r^=⟨cos(θ),sin(θ)⟩ and θ^=⟨−sin(θ),cos(θ)⟩ Consider a polar "box" B where the inner radius is 5,Δr=1 and Δθ=12π. Calculate the outward flux of the vector field F=r3r^+rθ^ across the boundary of B. Show all work!
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