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. 3 ft 12 ft Need Help? (a) If water is being pumped into the trough at 2 cubic feet per minute, how fast (in ft/min) is the water level rising when h is 1.4 feet deep? ft/min 3 ft (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.2, determine the rate (in ft3/min) at which water is being pumped into the trough. ft3/min Read It

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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ChapterP: Prologue: Calculator Arithmetic
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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.
ft3
min
3 ft
12 ft
Need Help?
(a) If water is being pumped into the trough at 2 cubic feet per minute, how fast (in ft/min) is the water level rising when h is
1.4 feet deep?
ft/min
2
3 ft
(b) If the water is rising at a rate of 3/8 inch per minute when h = 2.2, determine the rate (in ft3/min) at which water is being
pumped into the trough.
ft³/min
Read It
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. ft3 min 3 ft 12 ft Need Help? (a) If water is being pumped into the trough at 2 cubic feet per minute, how fast (in ft/min) is the water level rising when h is 1.4 feet deep? ft/min 2 3 ft (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.2, determine the rate (in ft3/min) at which water is being pumped into the trough. ft³/min Read It
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