Use a parametrization to find the flux across the surface in the specified direction. Outward (normal away
Question:
Use a parametrization to find the flux
across the surface in the specified direction.
Outward (normal away from the yz-plane) through the surface cut from the parabolic cylinder y = x2, -1 ≤ x ≤ 1, by the planes z = 0 and z = 2
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To find the flux of the vector field F through the given surface S we need to first find a parameterization of S and the outward unit normal vector n that points away from the yzplane The parabolic cylinder is given by y x2 where 1 x 1 The surface is cut by the planes z 0 and z 2 So the surface S is the part of the cylinder that lies between the planes z 0 and z 2 A possible parameterization for this surface is rxy where 1 x 1 and 0 y 2 Note that we can use y as the parameter ...View the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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