3. A water main consists of two sections of pipe of fixed lengths, 4, 1, carryingfixed amounts Q, and Q, liters per second. For a given total loss of head h, thevariable diameters D, D,of the pipe will result in a minimum cost ifC=1(a+bD,)+1,(a+bD,)= minimum,clQ cl,Q Find the ratioDsubject to the condition:h =D5. A particle of mass m in a rectangular box with dimensions x, y, z has groundk² ( 11+y?1state energy E(x,y,z) =+where k is a physical constant. If8m xthe volume of the box is fixed (say V = xyz), find the values of x, y, and z thatminimize the ground state energy.

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Description: 3. A water main consists of two sections of pipe of fixed lengths, 4, 1, carryingfixed amounts Q, and Q, liters per second. For a given total loss of head h, thevariable diameters D, D,of the pipe will result in a minimum cost ifC=1(a+bD,)+1,(a+bD,)

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3. A water main consists of two sections of pipe of fixed lengths, 4, l, carrying fixed amounts Q, and Q, liters per second. For a given total loss of head h, the variable diameters D,, D,of the pipe will result in a minimum cost if C=1,(a+bD,)+1(a+bD,)= minimum, clQ cl,Q; subject to the condition: h = Find the ratio D D

3. A water main consists of two sections of pipe of fixed lengths, 4, l, carrying fixed amounts Q, and Q, liters per second. For a given total loss of head h, the variable diameters D,, D,of the pipe will result in a minimum cost if C=1,(a+bD,)+1(a+bD,)= minimum, clQ cl,Q; subject to the condition: h = Find the ratio D D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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