A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. 3 ft 2 ft3 min 12 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 his 1.3 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being pumped into the trough. ft³/min

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.
3 ft
12 ft
2 ft3
3 ft
min
hft
(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
1.3 feet deep?
ft/min
(b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being
pumped into the trough.
ft³/min
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. 3 ft 12 ft 2 ft3 3 ft min hft (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 1.3 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being pumped into the trough. ft³/min
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