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 12 ft 3 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 1.6 feet deep? 5/39 X ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.5, determine the rate at which water is being pumped into the trough. 3/4 X ft?/min

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 ft3
min
12 ft
3 ft
3 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 1.6 feet deep?
5/39
X ft/min
(b) If the water is rising at a rate of 3/8 inch per minute when h = 2.5, determine the rate at which water is being pumped into the trough.
3/4
X ft?/min
人
MacBook Pro
80
F3
F2
000
F4
II
F8
>>
<)
F11
F5
F6
F7
F9
F10
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 ft3 min 12 ft 3 ft 3 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 1.6 feet deep? 5/39 X ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.5, determine the rate at which water is being pumped into the trough. 3/4 X ft?/min 人 MacBook Pro 80 F3 F2 000 F4 II F8 >> <) F11 F5 F6 F7 F9 F10
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