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Find the flux of F(x,y,z)=(x3)i+(y3+1x+3)j+(z2+x(y+3)2)k\mathbf { F } ( x , y , z ) = \left( x ^ { 3 } \right) \mathbf { i } + \left( y ^ { 3 } + \frac { 1 } { x + 3 } \right) \mathbf { j } + \left( z ^ { 2 } + \frac { x } { ( y + 3 ) ^ { 2 } } \right) \mathbf { k }F(x,y,z)=(x3)i+(y3+x+31)j+(z2+(y+3)2x)k across the surface of the solid bounded by x2+z2=9x ^ { 2 } + z ^ { 2 } = 9x2+z2=9 , and the planes y=0,y=2y = 0 , y = 2y=0,y=2 .
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Q10: Evaluate Q11: Let
Q11: Let
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