Mathematics Stack Exchange
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Questions tagged [related-rates]

In differential calculus, related rates problems involve finding a rate at which a quantity changes by relating that quantity to other quantities whose rates of change are known.

In differential calculus, related rates problems involve finding a rate at which a quantity changes by relating that quantity to other quantities whose rates of change are known.

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Finding rate of pouring water in inverted conical cone with water loss

Question: Water is dripping from a filter in the shape of an inverted right circular cone at a rate of $\rm5\ cm^3/s$. The altitude of the filter is $\rm10\, cm$ and its base radius is $\rm 5\ cm$.At the same time, water is pouring into the filter.…
user1039203
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Could someone please provide a solution to part A of a rates of change question

Rates of change question from a mathematics textbook about a dissolving pill. Having a hard time understanding the working and thought process of part (a) of the question. Any insight would be greatly appreciated! Link:…
Luke Wanless
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