Answered: A garbage can is in the shape of a…

Name: Hi I’m confused about this optimization practice problem, i think we n
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Description: Hi I’m confused about this optimization practice problem, i think we need to draw a picture of the problem (labelled with the variables) and then we need an equation with one variable for the problem and then we need to find and test the critical num

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 51AR

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Hi I’m confused about this optimization practice problem, i think we need to draw a picture of the problem (labelled with the variables) and then we need an equation with one variable for the problem and then we need to find and test the critical numbers and max and min and test them I believe and if possible a domain or boundary for the problem. We didn’t use any fancy math methods or trig or anything just simply solved it. I believe a concluding statement as well Thanks for the help!

A garbage can is in the shape of a cylinder with no lid. It needs to have a
volume of 5000 cm³. What will be the radius and height of the can that uses
the least amount of material to construct it? (Hint: Surface Area)

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