It can be shown that when the water level is h meters from the bottom of the tank, (see the figure), the volume V of the water in the tank is given by the equation 4 V = 327 (6 – h) 27 Suppose the water leaks out of the tank at a constant rate of 0.4 cubic meters per minute, (i.e. = -0.4). Calculate the rate at which the water level h is falling, (i.e. calculate ), when it is 2 meters deep, (i.e. when h = 2 meters). You must write down the steps that lead to your answer. A correct answer that is not supported by any work will earn NO points. %3D dt
It can be shown that when the water level is h meters from the bottom of the tank, (see the figure), the volume V of the water in the tank is given by the equation 4 V = 327 (6 – h) 27 Suppose the water leaks out of the tank at a constant rate of 0.4 cubic meters per minute, (i.e. = -0.4). Calculate the rate at which the water level h is falling, (i.e. calculate ), when it is 2 meters deep, (i.e. when h = 2 meters). You must write down the steps that lead to your answer. A correct answer that is not supported by any work will earn NO points. %3D dt
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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3. A water tank has the shape of a circular right cone with base radius 4 meters and height 6 meters.
It can be shown that when the water level is h meters from the bottom of the tank, (see the figure),
the volume V of the water in the tank is given by the equation
47
V = 327 -
27
(6 – h)
Suppose the water leaks out of the tank at a constant rate of 0.4 cubic meters per minute, (i.e.
dV
= -0.4). Calculate the rate at which the water level h is falling, (i.e. calculate d), when it is 2
dt
meters deep, (i.e. when h = 2 meters). You must write down the steps that lead to your answer. A
correct answer that is not supported by any work will earn NO points.
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