Let $\vec { F }$ Be a Smooth Velocity Vector Field Describing the Flow of Field

question 38

Short Answer

Let $\vec { F }$ be a smooth velocity vector field describing the flow of a fluid.Suppose that $\operatorname { div } \vec { F } ( 1,2 , - 1 ) = - 4$ Estimate the value of $\int _ { S }{ \vec { F } } \cdot \vec{ d A }$ where S is a sphere of radius 0.25 centered at (1, 2,-1)oriented outward.Give your answer to 4 decimal places.

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Definitions:

Hypothesis

A proposed explanation made on the basis of limited evidence as a starting point for further investigation.

Testable

Capable of being tested or subjected to examination and verification.

Upper Limb Length

The measurement from the top of the shoulder to the tip of the fingers, reflecting the dimensions of the arm and hand.

Body Height

The length of a human body from the bottom of the feet to the top of the head when standing upright.