Evaluate $\iint _ { S } \mathbf { F } \cdot d \mathbf { S }$

question 118

Short Answer

Evaluate $\iint _ { S } \mathbf { F } \cdot d \mathbf { S }$ , that is, find the flux of F across S. $\mathbf { F } ( x , y , z ) = 4 x \mathbf { i } + 2 y \mathbf { j } + 4 \mathbf { k }$ ; S is the part of the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ between the planes z = 0 and z = 5; n points upward.

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