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

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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A trough is 12 meters long and 3 meters across the top (see figure). Its ends are isosceles triangles with altitudes of 3 meters. 2 m3 min 12 m 3 m 3 m (a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when h is 1.0 meters deep? x m/min (b) If the water is rising at a rate of 2.5 centimeters per minute when h = 2.5, 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. 2 m3 min 12 m 3 m 3 m (a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when h is 1.0 meters deep? x m/min (b) If the water is rising at a rate of 2.5 centimeters per minute when h = 2.5, determine the rate at which water is being pumped into the trough. m3/min
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