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z=17x2y2z = 17 - x ^ { 2 } - y ^ { 2 }

question 28

Multiple Choice

 Let F(x,y,z) =xzi+zyj+2z2k and let S be the surface bounded by \text { Let } \mathbf { F } ( x , y , z ) = x z \mathbf { i } + z y \mathbf { j } + 2 z ^ { 2 } \mathbf { k } \text { and let } S \text { be the surface bounded by } z=17x2y2z = 17 - x ^ { 2 } - y ^ { 2 }
and z=0z = 0 .
Verify the Divergence Theorem by evaluating SFNds\iint_{S} \mathbf{F} \cdot \mathbf{N} d s as a surface integral and as a triple integral. Round your answer to two decimal places.

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Definitions:

Equity Principle

A concept in organizational psychology and management that suggests fair treatment and rewards for employees, based on their contributions and efforts.

Goal Accomplishment

Goal accomplishment is the successful achievement of a set goal or objective, often resulting in a sense of satisfaction and progress.

Feedback

A process in which information about actions, performance, or behavior is given to individuals or groups to use as a basis for improvement or development.

Goal Setting

The method of pinpointing objectives that are specific, measurable, attainable, relevant, and time-oriented.

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