Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Name: Gisselle Washington
Optimization problems
Date: Oct. 23, z01q
Period: 1
Prove
Show that of all the rectangles with a given area, the one with the smallest
perimeter is a square.
hMimimun
1et A be
a given
100f
area
100 = Lw
Suppose a cylindrical can is being made to hold 1 liter of oil. Design the can so
that the minimum amount of metal can be used. The area of the metal is given by
ar+2rh Note that 1L 1000cc so ar h = 1000, h
1000
1
2
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Transcribed Image Text:Name: Gisselle Washington Optimization problems Date: Oct. 23, z01q Period: 1 Prove Show that of all the rectangles with a given area, the one with the smallest perimeter is a square. hMimimun 1et A be a given 100f area 100 = Lw Suppose a cylindrical can is being made to hold 1 liter of oil. Design the can so that the minimum amount of metal can be used. The area of the metal is given by ar+2rh Note that 1L 1000cc so ar h = 1000, h 1000 1 2
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