Calculus (I)
WEN-CHING LIEN
Department of Mathematics National Cheng Kung University
2008
WEN-CHINGLIEN Calculus (I)
Ch4-6: Optimization Exercise
(Maximizing Area)
(1) Show that among all rectangles with a given perimeter, the square has the largest area.
(2)(Minimizing Material)
Aluminum soda cans are shaped like a right-circular cylinder, and hold about 1 liter.
Production of aluminum requires a lot of energy, so it is desirable to design soda cans that use the least amount of material. What dimensions would such an optimal soda can have?
WEN-CHINGLIEN Calculus (I)
Ch4-6: Optimization Exercise
(Maximizing Area)
(1) Show that among all rectangles with a given perimeter, the square has the largest area.
(2)(Minimizing Material)
Aluminum soda cans are shaped like a right-circular cylinder, and hold about 1 liter.
Production of aluminum requires a lot of energy, so it is desirable to design soda cans that use the least amount of material. What dimensions would such an optimal soda can have?
WEN-CHINGLIEN Calculus (I)
Thank you.
WEN-CHINGLIEN Calculus (I)