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A Bug Problem

A bug is on the inside of a container that has the shape of a paraboloid \(y=x^2\) revolved about the \(y\)-axis. If a liquid is poured into the container at a constant rate, how fast does the bug have to crawl to stay dry?
Old Node ID: 
1349
MSC Codes: 
Author(s): 
Aaron Melman (Santa Clara University)
Publication Date: 
Monday, December 11, 2006
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
May, 2006
Subject(s): 
Differentiation
Single Variable Calculus
Calculus
Topic(s): 
Differentiation: Calculation Rules
Optimization
Properties of Curves
Integration: Applications
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
Rating Count: 
23.00
Rating Sum: 
79.00
Rating Average: 
3.43
Author (old format): 
Aaron Melman
Applicable Course(s): 
3.4 Non-mainstream Calc I
3.3 Mainstream Calculus III, IV
3.1 Mainstream Calculus I
Modify Date: 
Wednesday, August 15, 2012
Average: 3.5 (23 votes)

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