Question: Problem 3 (19 pts). Suppose F is a vector field in R3 with a vector potential. Suppose that F(x, y,0) = k. s Unit circle

Problem 3 (19 pts). Suppose F is a vector field in

Problem 3 (19 pts). Suppose F is a vector field in R3 with a vector potential. Suppose that F(x, y,0) = k. s Unit circle (a) Find the flux of F through the unit disc in the figure provided, oriented with downward-pointing normals. (b) Find the flux of F through the glove-shaped surface S in the figure provided, oriented with outward-pointing normals. (The surface S does NOT include the unit disc think of it as an open glove.) Problem 3 (19 pts). Suppose F is a vector field in R3 with a vector potential. Suppose that F(x, y,0) = k. s Unit circle (a) Find the flux of F through the unit disc in the figure provided, oriented with downward-pointing normals. (b) Find the flux of F through the glove-shaped surface S in the figure provided, oriented with outward-pointing normals. (The surface S does NOT include the unit disc think of it as an open glove.)

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