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Find the Flux Of Across the Surface of the Solid Bounded By

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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 } across the surface of the solid bounded by x2+z2=9x ^ { 2 } + z ^ { 2 } = 9 , and the planes y=0,y=2y = 0 , y = 2 .

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Definitions:

Operating Income

Income generated from regular business operations, excluding any investment income, taxes, or extraordinary items.

Selling Price

The amount of money charged for a product or service.

Net Operating Income

An accounting term that represents the revenue minus the cost of goods sold and operating expenses, excluding taxes and interest.

Degree Of Operating Leverage

A measure, at a given level of sales, of how a percentage change in sales will affect profits. The degree of operating leverage is computed by dividing contribution margin by net operating income.

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