The Lengths and Widths of a Rectangle Are Measured with Errors

question 109

Essay

The lengths and widths of a rectangle are measured with errors of at most . Use differentials to estimate the maximum percentage error in the calculated area.

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Definitions:

Benzophenone

An organic compound with the formula (C6H5)2CO, often used as a photoinitiator or to perfume soaps.

Alkene

A hydrocarbon that contains at least one carbon-carbon double bond, characterized by the general formula CnH2n and playing a vital role in organic synthesis.

Dimethyl Sulfide

A sulfur-containing organic compound with the formula (CH3)2S, known for its distinctive smell.

Methyl Acrylate

An organic compound used as a monomer in the production of polyacrylic fibers and resins.