8. If 1000cm² of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 55AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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How do I do number 8

8. If 1000cm? of material is available to make a box with a square base and an open top, find the largest
possible volume of the box.
1+x + x²
9. Find the most general antiderivative of f(x) =
1
10. The linear density of a rod of length 1m is given by p(x) = 3/x – 2 VT+1 in grams per centimeter,
where x is measured in centimeters from on end of the rod. Find the mass of the rod.
Transcribed Image Text:8. If 1000cm? of material is available to make a box with a square base and an open top, find the largest possible volume of the box. 1+x + x² 9. Find the most general antiderivative of f(x) = 1 10. The linear density of a rod of length 1m is given by p(x) = 3/x – 2 VT+1 in grams per centimeter, where x is measured in centimeters from on end of the rod. Find the mass of the rod.
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