A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is filled with water at a rate of 12 ft3 per minute, how fast is the water level rising when the water is 6 inches deep?
A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is filled with water at a rate of 12 ft3 per minute, how fast is the water level rising when the water is 6 inches deep?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A trough is 10 ft long and its ends have the shape
of isosceles triangles that are 3 ft across at the
top and have a height of 1 ft. If the trough is
filled with water at a rate of 12 ft3 per minute,
how fast is the water level rising when the water is
6 inches deep?
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