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One Side of a Rectangle Is Increasing at 4 Ft/min

question 195

Essay

One side of a rectangle is increasing at 4 ft/min and another at 7 ft/min. At the time when the first side is 24 ft long and the second is 32 ft long, find
(a) how fast the area is changing.(b) how fast the diagonal is changing.


Definitions:

Buffer

A solution that resists changes in pH when acid or alkali is added to it.

Capillary Action

The ability of a liquid to flow in narrow spaces without the assistance of, or even in opposition to, external forces like gravity.

Adhesion

The process by which two surfaces are held together by intermolecular forces or mechanical interlocking.

Cohesion

The force that holds molecules of the same substance together, such as water molecules in a drop.

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