We consider a region E of space delimited by a closed, piecewise smooth surface S.
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Get it written →We consider a region E of space delimited by a closed, piecewise smooth surface S.
a) Show that the volume of E can be calculated using the formula :
b) Use the formula shown in a) to calculate the volume of the region delimited by the area parameterized by
and shown below :
c) The following question is independent of parts a) and b).
Show that the flux through a closed surface of a vector field of the form
![F(x, y, z) = [ax + Aſy,z)] 7 + [by + B(x, z)]] + [cz +C(x, y)] k, = 2](https://media.cheggcdn.com/media/904/9049b491-30ea-43a0-85d5-33da04a5baf7/php2Okmmv)
where a, b, c are constants and A, B, C are functions, is proportional to the volume of the region inside the surface.
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