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Let F=xi+yj(x2+y2)3/2\vec { F } = \frac { x \vec { i } + y \vec { j } } { \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 3 / 2 } }

question 15

True/False

Let F=xi+yj(x2+y2)3/2\vec { F } = \frac { x \vec { i } + y \vec { j } } { \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 3 / 2 } } .
True or False: The flux of F\vec { F } through any cylinder C (with x2+y2=R2,0z1x ^ { 2 } + y ^ { 2 } = R ^ { 2 } , 0 \leq z \leq 1 )does not depend on the radius R.


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