A cylindrical kite frame is to be constructed from a 4 metre length of bendable  steel rod. The frame will be made up of two circles joined by four straight rods  of equal length. In order to maximize lift, the kite frame must be constructed to  maximize the volume of the cylinder. Into what lengths should the pieces be cut  in order to optimize the kite’s flight.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A cylindrical kite frame is to be constructed from a 4 metre length of bendable
 steel rod. The frame will be made up of two circles joined by four straight rods
 of equal length. In order to maximize lift, the kite frame must be constructed to
 maximize the volume of the cylinder. Into what lengths should the pieces be cut
 in order to optimize the kite’s flight.

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