ERIC Number: EJ856221
Record Type: Journal
Publication Date: 2008-Jan
Abstractor: As Provided
Reference Count: 0
The Depletion Ratio
Groetsch, Charles W.
College Mathematics Journal, v39 n1 p43-48 Jan 2008
How fast does a tank drain? Of course this depends on the shape of the tank and is governed by a physical principle known as Torricelli's law. This note investigates some connections between tank shape and a mathematical function related to the time required for the tank to drain completely. The techniques employed provide some interesting illustrations of the fundamental theorem of calculus, l'Hopital's rule and the mean value theorem for integrals.
Descriptors: Calculus, Mathematics Education, College Mathematics, Mathematical Concepts, Mathematical Logic, Problem Solving, Validity
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Authoring Institution: N/A