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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. 2 ft³ min. 3 ft 12 ft 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 1.0 feet deep? X ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.0, determine the rate at which water is being pumped into the trough. x ft³/min

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 ft³ min. 3 ft 12 ft 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 1.0 feet deep? X ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.0, determine the rate at which water is being pumped into the trough. x ft³/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 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. 2 ft 3 min 3 ft 12 ft 3 ft Th ft (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 1.0 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = x ft³/min 2.0, 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. 2 ft 3 min 3 ft 12 ft 3 ft Th ft (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 1.0 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = x ft³/min 2.0, determine the rate at which water is being pumped into the trough.
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