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:

Central Function

The primary role or purpose that an entity or activity serves within a system or organization.

Durkheim

A French sociologist, Émile Durkheim, known for his foundational contributions to the field of sociology, particularly in the areas of social cohesion and the study of social institutions.

Social Solidarity

The bonds that unite individuals within a society, based on shared norms, values, and interests, facilitating societal cohesion.

Messages

are units of communication intended to convey information, thoughts, or feelings from one entity to another.