A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. 2.12. min 3.0 12- 31 Q (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 his 1.2 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h=2.5, determine the rate (in ft/min) at which water is being pumped into the trough.
A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. 2.12. min 3.0 12- 31 Q (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 his 1.2 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h=2.5, determine the rate (in ft/min) at which water is being pumped into the trough.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

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.
2.11
3.0
12 ft
31
min
An
6
(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 his 1.2 feet deep?
ft/min
(b) If the water is rising at a rate of 3/8 inch per minute when h= 2.5, determine the rate (in ft/min) at which water is being pumped into the trough.
ft³/min
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