Compute the flux of the vector field, vector F= 4x^3i + 9xyj + 9xzk, through the surface shown below. The surface is a cylinder with radius 1 and length 2, oriented away from the x-axis.
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Question

Compute the flux of the vector field, vector F= 4x^3i + 9xyj + 9xzk, through the surface shown below. The surface is a cylinder with radius 1 and length 2, oriented away from the x-axis. 
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anonymous · Answer

http://www.webassign.net/userimages/19.2.020.JPG?db=v4net&id=171969

anonymous · Answer

help me @sidsiddhartha

anonymous · Answer

please :)

anonymous · Answer

help me please @perl @ganeshie8

anonymous · Answer

@eliassaad can you also help me with this one please

anonymous · Answer

@eliassaab

anonymous · Answer

Does the surface includes top and bottom?

anonymous · Answer

Use Firefox on my site http://moltest.missouri.edu/mucgi-bin/calculus.cgi and choose Calculus III (Vector Calculus)

anonymous · Answer

no the surface does not includes top or bottom

anonymous · Answer

Is the answer 0?

anonymous · Answer

Let us divide the surface into two $S_1 $ above the x y plane and $S_2 $ below the xy plane

anonymous · Answer

I got 36pi

anonymous · Answer

$$\int\limits_{0}^{2\pi}\int\limits_{0}^{2}(4x^3i+9xcos \theta j+9x \sin \theta k) * (\cos \theta j + \sin \theta k) dxd \theta $$

anonymous · Answer

and that gives me 36pi

anonymous · Answer

@eliassaab

anonymous · Answer

36pi is right :)