Question The number of gallons of water in a leaking pool is detemined by the rate that the water is filling, 7g2+3g -4, and the rate that water leaks from the pool, 8g? -5g - 2, where g represents the number of gallons entering or leaving the pool per minute. Enter the expression for the net change in gallons per minute of the water in the pool. Find the change in the amount when the rate, g, is 5 gallons per minute. The change in the amount of the water is given by At a rate of 5 gallons per minutes the change of the volume will be gallon(s) per minute.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The number of gallons of water in a leaking pool is detemined by the rate that the water is filling,
7g2+3g-4, and the rate that water leaks from the pool, 8g2-5g - 2, where g represents the number
of gallons entering or leaving the pool per minute. Enter the expression for the net change in gallons per
minute of the water in the pool. Find the change in the amount when the rate, g, is 5 gallons per minute.
The change in the amount of the water is given by
At a rate of 5 gallons per minutes the change of the volume will be
gallon(s) per minute.
Transcribed Image Text:Question The number of gallons of water in a leaking pool is detemined by the rate that the water is filling, 7g2+3g-4, and the rate that water leaks from the pool, 8g2-5g - 2, where g represents the number of gallons entering or leaving the pool per minute. Enter the expression for the net change in gallons per minute of the water in the pool. Find the change in the amount when the rate, g, is 5 gallons per minute. The change in the amount of the water is given by At a rate of 5 gallons per minutes the change of the volume will be gallon(s) per minute.
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