Suppose a tank in Memphis leaks toxic chemicals. The area affected is a circle centered on the tank. When the spill is first noticed, the circle has a radius of 40 feet. A response team arrives 40 minutes later, by which time the affected area has grown to a circle with a radius of 80 feet. For this question, if you choose to use decimals, be sure that you round your numbers to at least 4 decimal places. How rapidly was the radius of the spill changing in ft/min between the time the spill was noticed and the arrival of the response team? ft/minute
Suppose a tank in Memphis leaks toxic chemicals. The area affected is a circle centered on the tank. When the spill is first noticed, the circle has a radius of 40 feet. A response team arrives 40 minutes later, by which time the affected area has grown to a circle with a radius of 80 feet. For this question, if you choose to use decimals, be sure that you round your numbers to at least 4 decimal places. How rapidly was the radius of the spill changing in ft/min between the time the spill was noticed and the arrival of the response team? ft/minute
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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Transcribed Image Text:Suppose a tank in Memphis leaks toxic chemicals. The area affected is a circle centered on the tank. When
the spill is first noticed, the circle has a radius of 40 feet. A response team arrives 40 minutes later, by
which time the affected area has grown to a circle with a radius of 80 feet.
For this question, if you choose to use decimals, be sure that you round your numbers to at least 4 decimal
places.
How rapidly was the radius of the spill changing in ft/min between the time the spill was noticed and the
arrival of the response team?
ft/minute
How rapidly was the area of the spill changing in ft?/min between the time the spill was noticed and the
arrival of the response team?
ft2
min
Transcribed Image Text:When the response team arrives, the spill has a radius of 80 feet.
Suppose the tank bursts and the area of the spill starts increasing at a rate of 1000
How fast must
min
the response team move to avoid being caught in the spill?
O A slow walk will suffice
O A fast run is required
O They are doomed: they can't outrun the spill
ft
How rapidly will the radius of the spill begin to increase?
min
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