Compute the Surface Integral $\iint _ { S } \mathbf { F } \cdot d \mathbf { S }$

question 115

Short Answer

Compute the surface integral $\iint _ { S } \mathbf { F } \cdot d \mathbf { S }$ if $\mathbf { F } ( x , y , z ) = z ^ { 2 } \mathbf { k }$ and S is the piece of the sphere $z ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1$ in the second octant $( x \leq 0 , y \geq 0 , z \geq 0 )$ .

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Equilibrium Economics

A state in economic models where supply equals demand, leading to stable prices and quantities.

Microeconomics

The branch of economics that studies the behavior of individuals and firms in making decisions regarding the allocation of scarce resources and the interactions among these individuals and firms.

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