2. The highest point of the underground tank from Problem 1, is at depth 6 feet from the surface of the earth and the tank is filled with gasoline (weight of 1 cubic foot is 46.75 pounds). What is the work done in emptying the tank by bringing the gasoline to 2 feet above the surface of the earth?
2. The highest point of the underground tank from Problem 1, is at depth 6 feet from the surface of the earth and the tank is filled with gasoline (weight of 1 cubic foot is 46.75 pounds). What is the work done in emptying the tank by bringing the gasoline to 2 feet above the surface of the earth?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer number 2
![1. We have an underground tank that is constructed as follows:
(a) consider the functions: Consider the graphs of functions
f(x) = 2+ /1 – x² x
E [0,1),
and
g(x) = 3x – 1 x € [0, 1].
(b) Draw the graphs of f(x) and g(x), show pictorially why f(x) > g(x) for all
x € [0, 1].
(c) the underground tank of interest is the solid formed by revolving the region
between f(x) and g(x) around the y-axis. Draw a picture of the shape of the
tank.
(d) Compute the volume of this tank.
2. The highest point of the underground tank from Problem 1, is at depth 6 feet from
the surface of the earth and the tank is filled with gasoline (weight of 1 cubic foot is
46.75 pounds).
What is the work done in emptying the tank by bringing the gasoline to 2 feet above
the surface of the earth?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb8df596-e276-488b-ba29-587411a1115c%2F2a5b1fbd-e9b7-4e76-b88f-5c98c3521fb2%2F0x79vno_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. We have an underground tank that is constructed as follows:
(a) consider the functions: Consider the graphs of functions
f(x) = 2+ /1 – x² x
E [0,1),
and
g(x) = 3x – 1 x € [0, 1].
(b) Draw the graphs of f(x) and g(x), show pictorially why f(x) > g(x) for all
x € [0, 1].
(c) the underground tank of interest is the solid formed by revolving the region
between f(x) and g(x) around the y-axis. Draw a picture of the shape of the
tank.
(d) Compute the volume of this tank.
2. The highest point of the underground tank from Problem 1, is at depth 6 feet from
the surface of the earth and the tank is filled with gasoline (weight of 1 cubic foot is
46.75 pounds).
What is the work done in emptying the tank by bringing the gasoline to 2 feet above
the surface of the earth?
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