A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. ft 3 min 3 ft 12 ft 2 3 ft Thft .(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 1.8 feet deep? ft/min Enter a mathematical expression. (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.2, determine the rate at which water is being pumped into the trough. ft³/min

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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.
3 ft
12 ft
2 ft3
min
3 ft
Thft
.(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 1.8 feet deep?
ft/min
Enter a mathematical expression.
=
(b) If the water is rising at a rate of 3/8 inch per minute when h
ft³/min
2.2, determine the rate at which water is being pumped into the trough.
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. 3 ft 12 ft 2 ft3 min 3 ft Thft .(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 1.8 feet deep? ft/min Enter a mathematical expression. = (b) If the water is rising at a rate of 3/8 inch per minute when h ft³/min 2.2, determine the rate at which water is being pumped into the trough.
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