Compute the unit normal vector field that will give the surface parametrized by r(u, v) = (e" cos(v), eu sin(v), uv), D = {(u, v) |0 ≤u≤ 4,0 ≤ V ≤ 2π} the downward orientation. (Your instructors prefer angle bracket notation <> for vectors.)

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A: The complete solutions are given below

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