Find the Area of the Region Bounded by the Graphs $$f ( x ) = \frac { 18 x } { x ^ { 2 } + 1 } , y = 0,0 \leq x \leq 9$$

question 24

Multiple Choice

Find the area of the region bounded by the graphs of the equations. $$f ( x ) = \frac { 18 x } { x ^ { 2 } + 1 } , y = 0,0 \leq x \leq 9$$

• A) \(A = 80 \ln ( 9 )\)
• B) \(A = 82 \ln ( 9 )\)
• C) \(A = 9 \ln ( 80 )\)
• D) \(A = 18 \ln ( 82 )\)
• E) \(A = 9 \ln ( 82 )\)

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Definitions:

Cell Cortex

The outer layer of the cytoplasm of a cell, usually enriched with actin filaments, which helps to maintain the cell's shape and to facilitate cellular movement.

Actin Filaments

Thin filaments consisting mainly of the protein actin; actin and myosin filaments make up the myofibrils of muscle fibers.

Intermediate Filaments

Cytoplasmic fibers that are part of the cytoskeletal network and are intermediate in diameter between microtubules and microfilaments.

Dynein

A motor protein in cells which uses the energy from ATP to transport cellular cargo along microtubules towards the cell's nucleus.