1. Consider a vector field given by F = â,3r³ + â¸5z. a) Compute the total outward flux from the surface of a cylinder with radius r =1 and its circular disks located at z = 0 and z= 2. b) Find the divergence of the vector field F and verify the divergence theorem.
1. Consider a vector field given by F = â,3r³ + â¸5z. a) Compute the total outward flux from the surface of a cylinder with radius r =1 and its circular disks located at z = 0 and z= 2. b) Find the divergence of the vector field F and verify the divergence theorem.
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Transcribed Image Text:1. Consider a vector field given by F = â,3r³ + â¸5z.
a) Compute the total outward flux from the surface of a cylinder with radius
r =1 and its circular disks located at z = 0 and z= 2.
b) Find the divergence of the vector field F and verify the divergence
theorem.
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