A trough is 12 feet long and 3 feet across the top. Its ends are isosceles triangles with altitudes of 3 feet. a) Draw an accurate picture that models the tank. b) If water is being pumped into the trough at 2 cubic feet per minute. How fast is the water level rising when the depth of the water is 1 foot? c) If the water level is rising at a rate of 3/8 inch per minute when the water depth is 2 feet, at what rate is water being pumped into the trough.
A trough is 12 feet long and 3 feet across the top. Its ends are isosceles triangles with altitudes of 3 feet. a) Draw an accurate picture that models the tank. b) If water is being pumped into the trough at 2 cubic feet per minute. How fast is the water level rising when the depth of the water is 1 foot? c) If the water level is rising at a rate of 3/8 inch per minute when the water depth is 2 feet, at what rate is water being pumped into the trough.
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...
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A trough is 12 feet long and 3 feet across the top. Its ends are isosceles triangles with altitudes
of 3 feet.
a) Draw an accurate picture that models the tank.
b) If water is being pumped into the trough at 2 cubic feet per minute. How fast is the water
level rising when the depth of the water is 1 foot?
c) If the water level is rising at a rate of 3/8 inch per minute when the water depth is 2 feet, at
what rate is water being pumped into the trough.
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