The Length $l$ , Width $w$ And Height $h$ Of a Box Change with Time

question 20

Short Answer

The length $l$ , width $w$ and height $h$ of a box change with time. At a certain instant the dimensions are $l = 3$ and $w = h = 4$ , and $l$ and $w$ are increasing at a rate of $10 \mathrm {~m} / \mathrm { s }$ while $h$ is decreasing at a rate of 1 $\mathrm { m } / \mathrm { s }$ . At that instant find the rates at which the surface area is changing.

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Definitions:

Symbolic Interactionist

A perspective in sociology that focuses on the meanings individuals attach to objects, events, and behaviors, and how these meanings are constructed through social interaction.

Expectations

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SAT

A standardized test widely used for college admissions in the United States, assessing mathematical, reading, and writing skills.

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