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1. A particular tank (on the surface of the Earth) is an inverted ght circular cone, sticking 10 meters down into the ground ith a circular top of radius 4 meters. The bottom of the tank has meters of fluid. The density of the fluid is given by 8(h)=h² g/m³ at a distance h meters down from the top of the tank (so 0 is the top of the tank and h = 10 is the bottom of the tank). he work required to pump the fluid out the top of the tank can written as an integral of the form f f(h)dh. (a) What is the lower limit of integration, a?.

1. A particular tank (on the surface of the Earth) is an inverted ght circular cone, sticking 10 meters down into the ground ith a circular top of radius 4 meters. The bottom of the tank has meters of fluid. The density of the fluid is given by 8(h)=h² g/m³ at a distance h meters down from the top of the tank (so 0 is the top of the tank and h = 10 is the bottom of the tank). he work required to pump the fluid out the top of the tank can written as an integral of the form f f(h)dh. (a) What is the lower limit of integration, a?.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. A particular tank (on the surface of the Earth) is an inverted right circular cone, sticking 10 meters down into the ground with a circular top of radius 4 meters. The bottom of the tank has 5 meters of fluid. The density of the fluid is given by 8(h) =h² kg/m³ at a distance h meters down from the top of the tank (so h=0 is the top of the tank and h= 10 is the bottom of the tank). The work required to pump the fluid out the top of the tank can be written as an integral of the form ff(h)dh. (a) What is the lower limit of integration, a? (b) What is the upper limit of integration, b? (c) What is the integrand, f(h)? (d) What are the units of work for the integral? (Pick one from the list below.).
Transcribed Image Text:1. A particular tank (on the surface of the Earth) is an inverted right circular cone, sticking 10 meters down into the ground with a circular top of radius 4 meters. The bottom of the tank has 5 meters of fluid. The density of the fluid is given by 8(h) =h² kg/m³ at a distance h meters down from the top of the tank (so h=0 is the top of the tank and h= 10 is the bottom of the tank). The work required to pump the fluid out the top of the tank can be written as an integral of the form ff(h)dh. (a) What is the lower limit of integration, a? (b) What is the upper limit of integration, b? (c) What is the integrand, f(h)? (d) What are the units of work for the integral? (Pick one from the list below.).
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