A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. 2 ft min 12 ft 3 ft th ft 3 ft (a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when h is 1.6 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being pumped into the trough ft/min

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.
2 ft3
min
12 ft
3 ft
3 ft
h ft
(a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when h is 1.6 feet deep?
ft/min
(b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being pumped into the trough.
ft/min
Transcribed Image Text:A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. 2 ft3 min 12 ft 3 ft 3 ft h ft (a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when h is 1.6 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being pumped into the trough. ft/min
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