The Motion of a Liquid in a Cylindrical Container of Radius

question 60

Multiple Choice

The motion of a liquid in a cylindrical container of radius 1 is described by the velocity field $\mathbf { F } ( x , y , z ) = 5 \mathbf { i } + 6 \mathbf { j } - 7 \mathbf { k }$ . Find $\iint _ { S } ( \operatorname { curl } \mathbf { F } ) \cdot \mathbf { N } d S$ , where $S$ is the upper surface of the cylindrical container.

• A) 5
• B) 7
• C) 2
• D) 0
• E) 3

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Definitions:

Common Ancestor

The most recent individual from which all organisms in a group are directly descended.

Gene

A sequence of DNA or RNA that codes for a molecule that has a function, acting as the basic unit of heredity in living organisms.

DNA Sequence

The order of nucleotides in a segment of DNA, determining genetic information and characteristics of living organisms.

RNA

Ribonucleic acid, a nucleic acid present in all living cells that plays a critical role in coding, decoding, regulation, and expression of genes.