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Approximate the Area Under the Curve y=5x2y = \frac { 5 } { x ^ { 2 } }

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Short Answer

Approximate the area under the curve y=5x2y = \frac { 5 } { x ^ { 2 } } from 1 to 2 using ten approximating rectangles of equal widths and right endpoints. Round the answer to the nearest hundredth.


Definitions:

Membrane-Bound Organelles

Structures within a cell that are surrounded by a lipid bi-layer membrane, each performing a distinct function.

Cytoplasm

The gel-like substance inside a cell, excluding the nucleus, which contains cell organelles and is the site of numerous cellular processes.

Peptidoglycan

A polymer consisting of sugars and amino acids that forms a mesh-like layer outside the plasma membrane of most bacteria, providing structural support and shape.

Archaeal Cell Walls

The rigid or semi-rigid component that surrounds cells of archaea, differing in composition from bacterial and eukaryotic cell walls.

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