Please help me with this problem: 1) A box with a square base and an open top must have a volume of 32,000cm3. Your goal is to find the dimensions of the box that minimize the amount of material used. Show all your work. Label you work in an orderly way. Put your answers in a box. a) Draw a picture and label all variables that you will use. b) Write down the equations for the volume and surface area using those variables. c) Calculate the desired dimensions. d) Show that your answer really gives a minimum by using either the first or second derivative test.
Please help me with this problem: 1) A box with a square base and an open top must have a volume of 32,000cm3. Your goal is to find the dimensions of the box that minimize the amount of material used. Show all your work. Label you work in an orderly way. Put your answers in a box. a) Draw a picture and label all variables that you will use. b) Write down the equations for the volume and surface area using those variables. c) Calculate the desired dimensions. d) Show that your answer really gives a minimum by using either the first or second derivative test.
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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Please help me with this problem:
1) A box with a square base and an open top must have a volume of 32,000cm3. Your goal is to find the dimensions of the box that minimize the amount of material used.
Show all your work. Label you work in an orderly way. Put your answers in a box.
a) Draw a picture and label all variables that you will use.
b) Write down the equations for the volume and surface area using those variables.
c) Calculate the desired dimensions.
d) Show that your answer really gives a minimum by using either the first or second derivative test.
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