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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? 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

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? 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

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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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? 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? 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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