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

question 110

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:

Social Change

Significant alteration over time in behavior patterns and cultural values and norms of a society.

Innovations

The introduction or creation of new ideas, methods, products, or services that bring change or improvement.

Social Conflict

Disagreements and tension between groups within society often arising from differing interests, values, or desires for power.

Gemeinschaft

A term describing communities or societies characterized by close, personal relationships, deeply rooted in tradition and often contrasted with Gesellschaft (more impersonal, economic-based relations).