(b) Solve the electric flux through a paraboloid z = x² + y² – 16 that lies below plane %3D z = 0. It is oriented by an outward unit normal vector with F = 3xî + 4yĵ – 5z²k.

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Chapter2: Second-order Linear Odes
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Please ASAP And Do both parts I vll upvote for good solution
(b) Solve the electric flux through a paraboloid z = x² + y² – 16 that lies below plane
z = 0. It is oriented by an outward unit normal vector with F = 3xî + 4yĵ – 5z²k.
(c) Determine the flux of the vector field F = x³i – 2yĵ + 7z²k across a cone
x² + y² + 3 that lies in between the planes z =
4 and z = 8 by using Gauss's
theorem.
Transcribed Image Text:(b) Solve the electric flux through a paraboloid z = x² + y² – 16 that lies below plane z = 0. It is oriented by an outward unit normal vector with F = 3xî + 4yĵ – 5z²k. (c) Determine the flux of the vector field F = x³i – 2yĵ + 7z²k across a cone x² + y² + 3 that lies in between the planes z = 4 and z = 8 by using Gauss's theorem.
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