A trough is 12 meters long and 3 meters across the top (see figure). Its ends are isosceles triangles with altitudes of 3 meters. 3 m min 12 m 3m (a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when his 1.0 meters deep? (b) If the water is rising at a rate of 2.5 centimeters per minute when h = 2.0, determine the rate at which water is being pumped into the trough m³/min

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
Question
A trough is 12 meters long and 3 meters across the top (see figure). Its ends are isosceles triangles with altitudes of 3 meters.
3 m
12 m
min
3m
(a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when his 1.0 meters deep?
m/min
(b) If the water is rising at a rate of 2.5 centimeters per minute when h = 2.0, determine the rate at which water is being pumped into the trough.
m³/min
Transcribed Image Text:A trough is 12 meters long and 3 meters across the top (see figure). Its ends are isosceles triangles with altitudes of 3 meters. 3 m 12 m min 3m (a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when his 1.0 meters deep? m/min (b) If the water is rising at a rate of 2.5 centimeters per minute when h = 2.0, determine the rate at which water is being pumped into the trough. m³/min
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